10 -dx may be written as Aln secB+ tanB"+C, where A, B, and Care constants not equal to zero. Evaluate the value of cos1o

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A: We have to find the normal vectors of the given planes.

Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides ...

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

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Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

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Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Given cost and price (demand) functions C(g) = 120g + 44,000 and p(g) = - 2.1g + 890, what price max...

A: Given query is to find the price for maximum revenue.

Q: (9) Find the local maxima, local minima, and saddle points of z = f (r, y) = 1? + y + 2ry Identify r...

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating ...

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Q: 4. y = 2xi+x“

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given:   ∫17x-1x2+16 dx

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is (2y/x)+Iny=c (2x/y)+3ln...

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Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

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Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

Q: A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the t...

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f (...

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x) ...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin't

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Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

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Q: S 12x²Vx3 + 7dx

A: This question can be solved using the concept of integration by substitution.

Q: Solve the differential equation. dy 2 36 - y, -6<y<6 dx y = 6 sin (2x + c)

A: Given query is to find the solution of the differential equation.

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: 5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide yo...

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Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

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Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: Use the Integral Test to determine if the serie 1 Σ (n+ 2)°/¾ n=1 converges or diverges.

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Q: Two complex numbers z1 and z2 are given by z1 = 3 + 2i and z2 = − 1 − 4i. Evaluate, (a) |z1z2| (b) ...

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

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Q: 1+cos0 lim 0→0- sin@

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

A: