Answers created by Hammer

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• What is the domain of `f(x) = ((x+34)(x-19))/(9(x+24)(x+34))`?
  
• Equations and Graphs of Trigonometric Functions. Determine the solutions to the equation 4sin2(x+45)=3 over the interval 0<x<360 Algebreically?
  
• What is the Cartesian form of `( -3 , (25pi)/12 )`?
  
• A new flu virus is introduced when a stranger visits an isolated village of 8000 people. Every infected person infects two more each day. How do you write an exponential function to model the number of UNINFECTED people?
  
• Evaluate: `int_0^1 ln(x+1)/(x^2+1) dx?`
  
• Simplify (2x + 4x + 6x +8x +... +2006x + 2008x) x +3x 5x + 7x +...+ 2005x + 2007x).?
  
• What is the domain and range of a sine graph?
  
• Find the riemann sum for `f(x)=x+x^2`?
  
• How do you write a rule for the nth term of the arithmetic sequence `a_10=2, a_22=-8.8`?
  
• ABCD is a parallelogram. X and Y are the mid points of the sides CD and BC respectively. Prove that `Area(ABC)=3/8*Area(ABCD`?
  
• Solve for x. `log_x (log_3 x) = 2`?
  
• Is this valid or invalid? prove it with a truth table.
  
• Give a direct proof of the statement: "If an integer n is odd, then 5n-2 is odd"?
  
• A triangle has vertices A, B, and C. Vertex A has an angle of `pi/12`, vertex B has an angle of `(pi)/2`, and the triangle's area is `2`. What is the area of the triangle's incircle?
  
• How do you convert `rcos(t) = 4` into a rectangular equation?
  
• How do you convert `2=(2x+3y)^2-x` into polar form?
  
• A triangle has corners at `(6 ,3 )`, `(2 ,6 )`, and `(1 ,5 )`. How far is the triangle's centroid from the origin?
  
• How do you find the hypothesis of an obtuse and acute triangle given Base = 2 Vertical Side = 4, Angle = 75, which is opposite of the hypothesis, and Hypothesis = x?
  
• How do you evaluate `e^( ( pi)/4 i) - e^( ( 7 pi)/3 i)` using trigonometric functions?
  
• Range of `e^x/([x]+1)` ,x >0 and where [x] denotes the greatest integer ?
  
• How is 1+(x^2)/(1-(x^2)) = -1 +2/(1-x^2)? Please leave a detailed explanation
  
• Add or subtract? Simplify your answer if possible. Leave your answer in terms of sin theta and/or cos theta sin theta + 1/cos theta
  
• The volumes of similar solids C and D are 700 ft^3 and 510 ft^3, respectively. The surface area of C is 260 ft^2. What is the surface area of D?
  
• What is the area enclosed by `2|x|+3|y|<=6`?
  
• What can you say about the shape of the curve `f(x) = 7 cos( 1/3 x ) + \sqrt{19} sin( 1/3 x )` ?
  
• Can you give me examples of real numbers?
  
• A circle has a radius of 1.4 millimeters and a central angle EOG that measures 21°. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth.
  
• Do the graphs intersect ?
  
• Find a possible formula?
  
• P(a, b) is a point in the first quadrant. Circles are drawn through P touching the coordinate axes, such that the length of common chord of these circles is maximum, find the ratio a : b?
  
• How do you find the sum of the geometric series `Sigma 64(3/4)^(n-1)` n=1 to 8?
  
• How to find the common difference and the nth term of the arithmetic sequence below? `8, 7 3/4 , 7 1/2, 7 1/4, ....`
  
• Simplify: (help me please)?
  
• Volume of a sphere is given by V=4/3πr³ , where r is its radius . If radius changes by 1.2% , then find the change in the volume ?
  
• Perimeter of rectangle?
  
• How do you use Pascal's triangle to determine the first four terms of the expanded expression `(x+y)^4`?
  
• Question about inverse? the function f(x) = x^2*sin 1/x for x not equal to zero (0) . find inverse of the f(x) for x not equal zero
  
• How do I find the quotient of two complex numbers in standard form?
  
• Which graph represents f(x)=log2 x+1 ?
  
• Answer the following questions for the function, r ( x ) = 3 x − 18/x^2+5 x+6 ? a)What is the domain of r ( x ) ? Give your answer using interval notation. b)r ( − 4 ) = c)For what value(s) of x does r ( x ) = 0 ? x= d)r ( x ) = − 3 5 . What is x ? x =
  
• How do I find the period of the graph, `f(x)=sqrt(sin^2(x/4)`, without graphing?
  
• Find the angle θ (in radians) between the vectors. Help? u = 4i − j v = 20i − 5j
  
• What is the transformations occurred from `y = 3.8(1.2)^x` to `y = 2.7(1.2)^x`?
  
• In the equation `Q=Ae^{pt}`, can the term `e^p` be replaced by `x^y`, where both `x` and `y` are rational numbers?
  
• How do you find the area of a parallelogram?
  
• Prove that (tanx-cot)^2>=0 ?
  
• How do you simplify `sqrt(-25) - sqrt(-49)`?
  
• Use DeMoivre's Theorem to find the three cube roots of 1?
  
• Tanx/sin2x? limit x->0
  
• A,b,c,function as below?
  
• How do you find a power series representation for `1/(1-x)^2` and what is the radius of convergence?
  
• Find the area?
  
• Given f(x) = kx^2-4kx+16, what is the value of k so f(x) = 0 has: a) no real roots, b) two equal roots, c) two distinct roots?
  
• How do you implicitly differentiate `2=e^(xy)cosxy`?
  
• How do I find an optimal rectangular area?
  
• How do you find a third degree polynomial given roots `3` and `2-i`?
  
• Find the general and principal value of log(-1+I)-log(-1-i)?
  
• Does the formula pr = bh apply to inscribed circles in quadrilaterals? or only triangles?
  
• How to rewrite cot(squared)-tan(squared) in terms of sin?
  
• What is the distance between the following polar coordinates?: `(-4,(3pi)/4), (5,(3pi)/8)`
  
• What is an integral?
  
• At what height would the Kinetic energy of a falling particle be equal to half of its potential energy?
  
• Let f(x)=`{tan(e^2)x^2-tan(-e^2)x^2}/sin^2 x`, x is not equal to zero, then the value of f(0) so that f is a continuous function is? 1)15 2)10 3)7 4)8
  
• Find all x-intercepts? `f(x)=cos(pi/2x)+1`
  
• Find range of cos(sin x) ?
  
• Find the log of? Z=5.2e^0.866
  
• What is the Euler's Identity in a nutshell?
  
• An object with a mass of `7 kg` is hanging from a spring with a constant of `2 (kg)/s^2`. If the spring is stretched by `2 m`, what is the net force on the object?
  
• A concave mirror with a focal length of 16.0 cm produces an images located 38.6cm from the mirror. what is the distance of the object from the front of the mirror?
  
• A block weighing `14 kg` is on a plane with an incline of `pi/6` and friction coefficient of `1/5`. How much force, if any, is necessary to keep the block from sliding down?
  
• How do i expand (1+x)(1+x)(1+x)(1+x) using binomial theorem?
  
• How do you determine if `4x^5 / absx` is an even or odd function?
  
• Tan (x+(pi/2))=?
  
• (x+cos x)(x-tan x)?
  
• How does "e" (2.718) help apply to applications/implications in real life?
  
• How does "e" (2.718) help apply to applications/implications in real life?
  
• How do you find `lim (e^t-1)/t` as `t->0` using l'Hospital's Rule?
  
• How do you find all values of x such that f(x) = 0 given `f(x) = (1/4)x^3 - 2`?
  
• Sin^2=4-2cos^2 ?
  
• Express Log(Log(cosπ+isinπ)in the form of A+iB?
  
• Solve `(n!)/(8!(n-8)!) = (n!)/(16!(n-16)!)` algebraically?
  
• A box with an initial speed of `5 m/s` is moving up a ramp. The ramp has a kinetic friction coefficient of `1/2` and an incline of `(2 pi )/3`. How far along the ramp will the box go?
  
• Which one is the smallest number? a) `0.02^(0.03)` b) `0.03^(0.02)` c) `log_(0.98) 1.01` d) `sin(0.02)` How to choose right answer quick?
  
• A triangle has corners at `(9 ,7 )`, `(2 ,1 )`, and `(5 ,4 )`. What is the area of the triangle's circumscribed circle?
  
• Prove the statement by mathematical induction?
  
• How does the Fibonacci sequence relate to Pascal's triangle?
  
• (Sinx+cox)dx ?
  
• What is tan^2 x can be expand? Like tan . tan ?
  
• `Sinx(1-cosx)^2+ cosx(1-sinx)^2=2` prove it?
  
• How do you convert `y = -3` to polar form?
  
• Sin(8π+theta)?
  
• Find this limit: lim arctan(n!) , n->infinity ?
  
• Justin is paid an annual salary of $28000 plus 3% of his sales.how much did he receive in april if his sales were $52000 and he is paid monthly?
  
• How do you find the exact value of the third side given `triangle ABC`, `AB=2.35, BC=6.24, mangleB=115`?
  
• How do you verify the identity `sin(A+pi)=-sinA`?
  
• How do you simplify `f(theta)=sec(theta/4)-cos(theta/4-pi/2)` to trigonometric functions of a unit `theta`?
  
• Tan×+cosx÷1+sinx?
  
• Express `z_2=4+4i` in polar form?
  
• Hello friends, please, I need to know how to get the answer out of this exponential equation?
  
• Let `'f'` be an even periodic function with period '4' such that `f(x) = 2^x-1`, `0<=x<=2`. The number of solutions of the equation `f(x) = 1` in `[-10,20]` are?
  
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