Answers created by Gerardina C.

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• What are the extrema of `f(x)=(x^2)/(x^2-3x)+8` on `x in[4,9]`?
  
• (The function is cubed) How do you find a and b?
  
• What is `lim_(xrarrpi/2) e^(-tan^2x` ?
  
• Question #043fb
  
• Question #695d2
  
• A fraction becomes 9/11, if 3 is added to both the numerator and denominator. If 3 is added to both the numerator and denominator it becomes 5/6 as well. So what will be the original fraction?
  
• Using the factor theorem, what are the rational zeroes of the function `f(x) = x^4 +2x^3 - 13x^2 -38x- 24 =0`?
  
• If `f(x) =x-xe^(2x+4)` and `g(x) = cos9x`, what is `f'(g(x))`?
  
• A Happy New Year! Why don't you solve these questions related to 2018?
  
• Is `f(x) =(x+2)^2/(x-1)` concave or convex at `x=-1`?
  
• A landscaper is putting in a brick patio. The area of the patio is 110 square meters. If the bricks measure 10 centimeters by 20 centimeters, how many bricks will it take to make the patio? Assumes no space between bricks?
  
• Find all real solutions for the following equation: `2x-3sqrt(x)=20` ?
  
• For `f(t)= (e^t/t,4t+1/t)` what is the distance between `f(2)` and `f(5)`?
  
• Suppose you select a letter from the word ALGEBRA. What's the probability of selecting two consonants? A vowel & consonant? Two vowels?
  
• Question #9d2ef
  
• Question #748b2
  
• How do you find the derivative of `y=ln(-(4x^4)/(x^3-3))^5`?
  
• Find all the values of `x` such that `abs(7-abs(4-x))>11`?
  
• Question #4e2fa
  
• The circle c has the centre at (3,2) and passes through the point (2,1) determine whether the point with coordinates(4,7) lies on or in the circle ?
  
• A triangle has sides A, B, and C. The angle between sides A and B is `pi/6`. If side C has a length of `3` and the angle between sides B and C is `pi/12`, what is the length of side A?
  
• Circle A has a center at `(5 ,4 )` and an area of `16 pi`. Circle B has a center at `(12 ,8 )` and an area of `25 pi`. Do the circles overlap? If not, what is the shortest distance between them?
  
• How do you use the remainder theorem to evaluate `f(a)=a^3+5a^2+10a+12` at a=-2?
  
• Question #a2ffa
  
• How do you simplify `\frac { 4} { 6b } + \frac { 3} { 3b - 4}`?
  
• How do you solve `sin(x/2)=1-cosx`?
  
• How do you add `\frac { - 5} { 9v ^ { 3} w ^ { 2} } + \frac { 3} { 4v ^ { 2} w }`?
  
• How do you simplify `(3x+4)^3`?
  
• How do you find the limit of `(t^2+t-2)/(t^2-1)` as `t->-1`?
  
• Question #00fa2
  
• The difference between two multiples of ten is 330. The total of them is 710. What are the two numbers?
  
• Question #8c14f
  
• Question #0ce6f
  
• How do you simplify `(2c ^ { 4} ) ( - c ^ { 2} ) ( 4c ^ { 9} )`?
  
• How do you solve and graph `abs((2p-8)/4)>=9`?
  
• Question #576da
  
• Solve this?
  
• How do you find the domain and the range of the relation, and state whether or not the relation is a function (1,7), (2,6), (3,5), (4,4)?
  
• How do you write the equation `-2x^2-36x-2y^2-112=0` in standard form and find the center and radius?
  
• How do you divide `\frac { \frac { 5} { 12} + \frac { 1} { 3} } { \frac { 7} { 12} - \frac { 1} { 2} }`?
  
• Is `f(x)=10x^5-7x^4+x-4` concave or convex at `x=-1`?
  
• How do you find the slope of the line passing through (-6, 5) and (-7,-2)?
  
• How do you solve `-20j + 20= - 7j - 18- 15j`?
  
• Question #53d1f
  
• A rectangular garden has a length of `(y+2)` yards and a width of `(4y-1)` yards. How do you find the perimeter of the garden in terms of `y`?
  
• How do you evaluate `\frac { 1} { x + 1} + \frac { 3} { 3x - 13} = \frac { 2} { x - 7}`?
  
• How do you find the domain of `g(x) = 1/(3-x)^(1/2)`?
  
• How do you differentiate `y=(t^2+2)/(t^4-3t^2+1)`?
  
• How do you simplify `(sqrt3+4 sqrt5)(2 sqrt3- sqrt5)`?
  
• How do you simplify `\frac { 2x ^ { 2} y } { 5x } \cdot \frac { 15x y ^ { 2} } { y ^ { 4} }`?
  
• How do you find the derivative of `y=[(2-3x^2)^(1/2)](5x+2)`?
  
• What is the perimeter of a triangle with corners at `(8 ,5 )`, `(9 ,7 )`, and `(1 ,4 )`?
  
• What is the slope of the line perpendicular to `2x-5y=3`?
  
• If a triangle has side lengths of 5.6 yards, 7.1 yards, and `x` yards, what are possible values of `x`?
  
• Question #89844
  
• How do you solve the triangle when a=3, b=2, A=50degrees?
  
• How do you find the five remaining trigonometric function satisfying `sectheta=6/5`, `tantheta<0`?
  
• Question #b6403
  
• How do you find `\lim _ { x \rightarrow 0} \frac { x + \sin ( x ) } { x }`?
  
• Question #4cc50
  
• How do you find the derivative of `y=1+tan^2(5x)`?
  
• Given `sin30^circ=1/2` and `tan30^circ=sqrt3/3`, how do you find `cot60^circ`?
  
• How do you find the domain of `sqrt(x^2+2x-24)`?
  
• How do you simplify `(z ^ { - 4} \cdot x ^ { \frac { 3} { 5} } ) ^ { \frac { 1} { 3} }`?
  
• How do you find the degree of the polynomial `7x ^ { 3} y ^ { 2} + 8x ^ { 4} y - 6x ^ { 4} y ^ { 2} + 7x ^ { 2} y`?
  
• How do you translate word phrases to algebraic expressions: six times the sum of a number and its reciprocal?
  
• How do use the discriminant to find all values of b for which the equation `3x^2+bx+5=0` has one real root?
  
• In triangle ABC, a = 7, A = 30 degrees, B = 70 degrees, What is angle C and length of side c?
  
• Question #163e0
  
• Question #0e146
  
• How do you solve `(x - 1) ( x + 3+ \frac { 3} { x - 1} ) = ( \frac { 4- x } { x - 1} ) ( x - 1)`?
  
• How do you find the exact value of `sin(u+v)` given that `sinu=5/13` and `cosv=-3/5`?
  
• How do you use the first and second derivatives to sketch `y=x^4-2x`?
  
• How do you factor `-5x^2 - x + 4`?
  
• How do you solve `-7- 7a = 8+ 4( - 2a - 2)`?
  
• How do you multiply `(\frac { 1} { 3} x ^ { 2} - 8) ( \frac { 1} { 3} x ^ { 2} + 8)`?
  
• The circumference of a circle measures `22pi` units. How do you find the area of the circle?
  
• How do you solve and write the following in interval notation: `-2x<3-x<=8`?
  
• How do you simplify `(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)`?
  
• How do you divide `\frac { 6y ^ { 2} + 8y - 4} { 2y + 2}`?
  
• How do you simplify `(\frac { u ^ { 3} v ^ { - 1} } { 2w ^ { 3} } ) ^ { - 3} ( u w ^ { 3} )`?
  
• How do you evaluate `2(y-\frac{3}{2})^{2}+\frac{27}{2}`?
  
• How do you simplify `\frac { 6x ^ { 2} - 42x + 72} { 4x ^ { 2} - 24x + 32}`?
  
• Question #f7ea2
  
• How do you write the expression for the phrase: "Triple the difference of 35 and 10 then add 17."?
  
• How do you simplify `\frac { 2x - 3} { 4x ^ { 2} + 4x } - \frac { 4} { 2x }`?
  
• How do you find the area of the triangle given `B=130^circ, a=62, c=20`?
  
• How do you rationalize the denominator and simplify `(3 + sqrt(3) )/ (4-2sqrt(3))`?
  
• Question #3f255
  
• How do you find the slope and intercept of `4(3x+9) - 3(5y+7)=11`?
  
• How do you find the first and second derivative of `y=ln [ x / (x^2 - 1) ]`?
  
• How do you factor `81p ^ { 2} + 108p + 36`?
  
• How do you solve `\frac { x + 2} { 2x + 9} = \frac { 3} { 5}`?
  
• How do you solve `19d - 14d - 19= 5d`?
  
• How do you solve `3- 4x \geq 27`?
  
• How do you find `\int _ { 1} ^ { 3} ( x ^ { 2} - 1) d x`?
  
• How do you multiply and simplify `\frac { 1} { x + 2} \cdot \frac { x ^ { 2} - 9x + 20} { 4- x }`?
  
• How do you solve `4v + 8> - 32`?
  
• How do you divide `\frac { 42x ^ { 2} + 48x } { 5x } \div \frac { 49x + 56} { 7}`?
  
• The width of a rectangle is one third of the length. If the perimeter is 96 cm, what is the width?
  
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