Answers created by Douglas K.

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• `(dR)/(dS) = k (R/S)` R=?
  
• What is the derivative of `f(x) = (x)(6^(-2x))`?
  
• The value of `root(3)(125)` is?
  
• Integral of `int x/sin^2(x^2)dx`?
  
• How to solve this is implicit differentiation dy/dx? `xsin(y) + cos (xy) = x^2`
  
• Equation Parabola `x^2-4x+2=2y`?
  
• Given the function `f(x) = 2x^2 +3`. Find values of v such that `f(v)= 5v + 6`?
  
• There's only one answer. Which one is it?
  
• How do you find the equation of the chord of contact to the parabola `x^2=8y` from the point (3,-2)?
  
• The vertex of this parabola is at (2,-4). When the y-value is -3, the x-value -3. What is the coefficient of the squared term in the parabola's equation?
  
• Find the equation of a line, that lies on a plane `2x-3y+4z=8`, perpendicular to a line `(x-1)/3=(y-1)/2=(z-2)/3` and passes through the point `(1,2,-1)`?
  
• What is the `lim_(x to pi) sec^3(x)`?
  
• Find the angle between the line `(x-2)/3=(y+3)/3=(z-1)/1` and the plane `2x-3y+4z=0` ?
  
• Given `costheta=-4/(sqrt20)`, where `0^@ <= theta <= 180^@` ?
  
• What is the distance between P(-3, -2) and Q(11, 0)?
  
• A man walks a distance of 3km due east, then another 4km due south. What is the displacement relative to his starting point?
  
• A body of mass 10kg moving with a constant velocity of 10m/s.when a constant force acts for 4sec on it .it moves with velocity 2m/s in opposite direction the acceleration produced is ?
  
• The fuel of a rocket is launched is given by `-x^2 - 140x +2000`. During what period of time is the mass of the fuel greater than 500t?
  
• Finding the derivative using quotient rule?
  
• If , `y=sqrt(x/a)-sqrt(a/x)` So, Prove that ?? `2xy(dy/dx)= x/a-a/x`
  
• How to find the inverse of a quadratic equation?
  
• The relation between the velocity and the position of a particle is v=Ax+B , where A & B are constants. Acceleration of the particle is 10 when its velocity is a.How much is the acceleration when it's velocity is 2a?
  
• If `f(x)=x/4-3` and `g(x)=4x^2+2x-4` find `(f+g)(x)` ?
  
• How do you solve `2cosx+1=0` algebraically?
  
• If `vecu=(3,-1)` and `vecv=(-6,4)`, then how do you find the angle between `u` and `v` vectors?
  
• How do you write the equation of the parabola that has a vertex of `(3, 4)` and contains the point `(1, 2)`?
  
• How much energy (in joules) is released when 0.06 kilograms of mercury is condensed to a liquid at the same temperature? A. 17,705.1 J B. 20,075.04 J C. 51,302.88 J D. 697.08 J
  
• Can you help me with this double integral?
  
• What is the `y`-value for the function `y=tan x` if `x=(-11pi)/4`? Thank you
  
• FM radio broadcast 1800 kilo Hertz. what wavelength is corresponds to?
  
• The sum of three numbers is 52. The first number is `8` less than the second. the third number is `2` times the second. What are the numbers?
  
• Can someone help me solve for which expression?
  
• On sunny day, a 5-foot red kangaroo casts a shadow that is 7 feet long. The shadow of a nearby eucalyptus tree is 35 feet long. How do you write and solve a proportion to find the height of the tree?
  
• How do you integrate this differential equation then solve it? - Equation included
  
• An object travels 16mtrs in 4sec and then another 16mtrs in 2 sec along a straight path. what are its average speed and average velocity?
  
• How do you prove `(1+sec(x))/(sin(x)+tan(x))= csc(x)`?
  
• `log_3(3^(x-8))=2-x` solve the equation?
  
• What is the arclength of `y=sqrt(x-x^2) + sin^(-1) (sqrtx) , (0<= x <= 1)`?
  
• Can you help me understand how to only divide by i? Example: 14+i/i
  
• What is the solution? `(x+5)/5=1-((x+5)/7)`
  
• How do you solve x^2 = 121?
  
• Prove that Cos α cos (β-α) - sin α sin (β-α) = cos β?
  
• Explain why the function is discontinuous at the given number a = 1 ?
  
• How do you divide `(x^4-5x^3+6x^2-10x+15)/(x^2-7)`?
  
• What is the reciprocal of `6+i`?
  
• Help in Sequence and Series question!?
  
• How do you write the parabola `2y^2+4y+x-8=0` in standard form and find the vertex, focus, and directrix?
  
• Range of `log_0.5(3x-x^2-2)` ?
  
• What are the zeros, equation of the axis of symmetry and vertex of `y=x^2 + 5x+ 8`?
  
• Can someone please explain this?
  
• What kind of function is the form `f(x)=ax^2+bx+ca=0`?
  
• How do you solve `|2x - 1|= 3`?
  
• How many real number solutions? `-7x^2+6x+3=0`
  
• How do you write an equation of the cosine function with amplitude 3 and period 4π?
  
• How do you graph y=-2 ? and how do you graph y=-x+4 ?
  
• If `sin s = -12/13` and `sin t = 4/5`, what is `cos(s+t)` and `cos (s-t)`?
  
• How do you find the radius of a circle if you have the circumference?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of `14 C` and `29 C` that are `4 m` apart?
  
• How to find the transformations (matrix)?
  
• What is the angle?
  
• The equation of a parabola is given. `y=−16x^2+7x−80` What is the equation of the directrix of the parabola? Enter your answer in the box.
  
• What is the perimeter and area of a right triangle with a hypotenuse of 26 and a leg of 24?
  
• The graph of `y=ax^2+bx` has an extremum at `(1,-2)`. Find the values of a and b?
  
• How do you simplify this? `" "sqrt(3) + sqrt(1/3)`
  
• A hyperbola's center is at (1,-3). a^2 is 4 and b^2 is 16. How would I know if the hyperbola is horizontal or vertical? Can't it be both?
  
• Find any extrema of the function `f(x,y)=e^{-xy/4}` subject to the constraint `x^2 + y^2 <=1` ? I desperately need help with these problems as I do not understand them. Thanks!
  
• How do you solve this equation: csc^4 2(u)-4=0 ?
  
• How do you know the answer for this system of equations?
  
• How would i find the discriminant and what type of solution would it be?
  
• Is this possible to factor? `3sin^2θ-cos^2θ-1`
  
• The function y=Asin(x)+7 has a maximum value of 19. What is it’s minimum value?
  
• The equation of a parabola is `12y=(x-1)^2-48` identify the vertex, focus, and directrix of the parabola?
  
• A central angle of a circle that measure pi/3 radians intercepts an arc that is 12 cm. What is the radius of the circle?
  
• How do you multiply (7(cos 23+isin 23)) (4(cos 7+isin 7))?
  
• How do I solve this exponential equation problem?
  
• What is an appropriate differential equation, and what is the answer for V?
  
• How is the integral of `int x / ( sinh(x) + cosh(x) ) dx`?
  
• A right triangle has one angle that measures 77°. What is the measurement for the missing angle?
  
• Can you solve this limit simply by l'hopitle rule or is there a more complex method by which you can go about this?
  
• Determine the inductive reactance when a `30.0" mH"` inductor with a negligible resistance is connected to a `1.30xx10^3" Hz"` oscillator? Thanks
  
• What is the combined resistance of a 6 ohm resistor which is connected in series with a parallel arrangement of two resistors, each resistance of 2 ohm? Thanks
  
• Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations? 9x-4y+z=-4 -x+2y-3z=20 4x+4y-z=43
  
• How to find a line that intersects two planes?
  
• Which are the solutions of `x^2 = 19x + 1`? Answers included in the image.
  
• `x^2 + 4x = 0` How do i factor this?
  
• Change r=6cos(theta)+7sin(theta) to rectangular form ?
  
• What is the graphing equation of this equation -4x^2+25y^2-50y+125=0?
  
• Rewrite the equation in a rotated x'y'-system without an x'y' term. Can I get some help? Thanks!
  
• How do you solve? `2(sin x)^2 − cos x − 1 = 0`
  
• Please solve q 71 ?
  
• What is the final velocity of the lighter object? (See below)
  
• 2x/x^2 -2 dx U=? Don’t integrate.?
  
• Using the limit definition, how do you find the derivative of `3/(x-2)`?
  
• Two forces, A and B, have a resultant C. (In other words A + B = C, as vectors). If A = 5 N, B = 7 N and C = 8 N, what is the angle between A and C?
  
• How do you find the area of the region bounded above by the parabola y=2-x^2, and below by the line y=-x' ?
  
• Write the simplest polynomial function with the given roots 1, 4, and 3?
  
• What is the partial fraction of `(2x^3+3x^2-15x+5)/(x^2+3x-4)`?
  
• Help with physics"(?)"
  
• How do you solve for x in `x+log_2x=6` ?
  
• How to solve 3sin(x)=cos^2(x)?
  
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