25,270 Answered Questions for the topic calculus

Calculus Math

06/20/23

Implicit partial derivative
For the following function xy + e^(xyz) - z - e^y = 0 use implicit partial derivative to find ∂z/∂x at (1,1,1).
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Calculus Math

06/20/23

Calc 3 Question
For P = (v) / (2u+3v), find P_vv, P_uu, and P_vu.
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Calculus Math

06/20/23

Tangent plane at a surface
Find an equation of the tangent plane to the given surface at the point P(2,0). f(x,y) = (x^2)(e^(xy)).
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Calculus

06/20/23

On what intervals of x is f(x) concave up? Justify
The graph below is f'(x)Link to graph: https://drive.google.com/file/d/1PrmHF5-SL7H8Yle6uN7fVxSfIv18m7CS/view?usp=sharing
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Calculus

06/20/23

Inverse value table
The function f is given below in a table:x | f(x)1 | 32 | -53 | 124 | 85 | 124Write a table of values for f-1. Enter values of x in increasing orderx | f-1(x)
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Calculus

06/20/23

Half-Life Question Percentage needed
A) The half-life of radium-226 is 1620 years. If the initial quantity of radium is Q0, write a formula for the quantity, Q, of radium left after t years.Answer I got: Q0(1/2)t/1620B) What... more
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Calculus Precalculus

06/20/23

Where is the center of an ellipse for a lithotripsy procedure with an equation of 6.25x^2+16y^2-12.5x+64y-29.75=0?
Pick the answer corresponding the coordinates of the ellipse: (A) (-2,1) , (B) (-1,2), (C) (1, -2), (D) (2,1). Pick the answer corresponding to the the coordinates where the shock-wave generator... more
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06/20/23

Which of the following is the correct answer for (4+2i)^4 evaluated and left in Cartesian form?
Pick the correct answer for the evaluation of (4+2i)4, leaving the answer in Cartesian form. Show each step taken in finding the solution. The possible answers are: (A) -112+384i, (B) -120+394i,... more
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Calculus Precalculus

06/20/23

What are the solutions to the equation 3cos(t)+4=2 on the interval [0, pi]?
Find all solutions to 3cos(t)+4 = 2 on the interval [0, π) without the use of a graphing utility. If there is no solution, write N/A. Solve the question algebraically, listing each step in turn.
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Calculus

06/20/23

Not-so-easy tangent line
Find the equation of the line that is tangent to y = x^2 - 5x + 6 and passes through the point (0, -3).
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Calculus Precalculus

06/20/23

Answer the following questions, showing your work at each step:
A. Pascal's triangle:11 11 2 11 3 3 11 4 6 4 11 5 10 10 5 1B. Matrix to find the inverse of:[0 -4 0][3 7 1][0 1 7] The terms of Pascal's triangle consists of different combination arrangements.... more
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Calculus Precalculus

06/20/23

Answer the following questions, showing your work at each step:
You want to hang a 600 pound statue from your ceiling for a party. It will be hung by two cables each making a 60 degree angle with the ceiling. How much tension will be in each of the cables?... more
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Calculus Math

06/20/23

help me please? check the answer. thank you.
If F(x,y,z)=(-xy)i-(xz)j+(2yz)k and C is the closed triangular curve oriented counterclockwise around the plane x+z=3 from y=0 to y=4 in the first octant viewed from above, use Stoke's theorem to... more
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Calculus Math

06/20/23

The answer is I≈57.7 is it true? Help me check the answer. thank you
If C is given by x=2cost, y=2sint, z=πt, 0≤t≤π, evaluate : ∫C(x+z)ds.
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Calculus Math

06/20/23

The answer is 9π. is it true? help me check the answer. thank you
If F (x,y,z)=tan z i +(x+z)j+xsiny k and σ is the portion of the cylinder z=9-x2-y2 above the xy-plane oriented so that the unit normal vector n points to the outside of the cylinder, use Stoke's... more
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Calculus

06/20/23

Inverse Functions
The cost of producing q articles is given by the functionC = f(q) = 110 + 5qFind a formula for the inversef-1(C) =
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Calculus

06/20/23

Exponential Functions (PLEASE HELP ME CONFIRM
The exponential function y(x) = Ceαx satisfies the conditions y(0) = 0 and y(1) = 7A. Find the constants C and αC= 9α = -0.251B. find y(2)Since I got the answers above, would y(2) therefore be... more
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Calculus

06/19/23

Half-Life Question
A. The half-life of radium-226 is 1620 years. If the initial quantity of radium is Q0, write a formula for the quantity, Q, of radium left after t years.B. What percentage of the original amount of... more
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Calculus

06/19/23

Calculus eigenvalue
For which value of k does the matrix A = [−2 k] [−4−7] have one real eigenvalue of algebraic multiplicity 2? 
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Calculus

06/19/23

Calculus eigenvalue
Let A = [3 -3] For A to have 0 as an eigenvalue, k must be = [1, k]
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Calculus

06/19/23

Calculus eigenvalues

The matrix A = [−3, k] has two distinct real eigenvalues if and only if k <  [−2−7]
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Calculus

06/19/23

Calculus eigenvalues
Supppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an eigenvector of the following matrices, and find the associated... more
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Calculus

06/19/23

Calculus question
Approximate the area under the curve y= x3 from x=0 to x=3 using a Right Endpoint approximation with 6 subdivisions.
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Calculus

06/19/23

Find the higher derivative . D^3/Dx^3(8x^2ln7x)
Find the higher order derivative
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Calculus

06/19/23

Find an equation of the line tangent to the following equation a point X = 1. Y=^secx
The equation of the tangent line is ?
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