() = 3

Q: cos³2xdx CoS Vsin2x

A: We can find the answer as below.

Q: Given w = f(x, y, z) = 4x² + y² + 4z?. Sketch the level surface of the function for w = 1.

A: Consider  the  function w=f(x,y,z)=4x2+y2+4z2  

Q: Find dy/dx. Do not simplify the answer. 4* +4 csc a.) y = log4 x-csc(4) b.) x3 y + cosh¬1 3 = e – co...

A:

Q: 8. Given that y=/2x +7 and y is increasing at a rate of 5 units s. Find the rate of change in X, whe...

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Q: an' = ? If g(x,y) and dg = mdx – ndy. Also, dg is an exact differential, then ду A. ). Ləx. m an В. ...

A: Given : dg = mdx - ndy and dg is an exact differential

Q: Check if the equation is exact or not. If it is exact, solve. If it is not exact, solve for the inte...

A: The solution is as follow

Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

A:

Q: Given the function f(x)= 2x^2 - 62 + 7 a. Determine the exact value of the function at x = 1 i.e., f...

A:

Q: For questions 30-34 consider the following: The relationship between displacement, s, velocity, v an...

A: We have to find out the value of s, a and  v

Q: dz and Q\ let z = In (² + 1) where =r sine find dr OP

A:

Q: Evaluate the following limits: 8x3+27 lim- 4x2+12x+9 X -- 2 b.) lim (3x + v9x2 — 6х + 3) X -00 c.) l...

A:

Q: For questions 39-41 consider the following: 1 The Maclaurin series expansion for f(x)= is 1-x+x? -x+...

A: Solve the given problem

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: TO evaluate: I = ∫θ4+sec2θdθ We know that ∫xndx = xn+1n+1+C and ∫sec2θdθ = tanθ

Q: Consider the following. x 8V sin(y). osysn, x = 0; about y = 4 (a) Set up an integral for the volume...

A:

Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

A:

Q: If x= 2t +t+1 and y=8t+3t+2 then dy at t=1 is dx

A: We have to find value of dy/dx at x=1.

Q: Suppose that f(x) is continuous. The table below shows intervals where f'(x) and f"(x) are positive,...

A: graph is given below..

Q: Question 5: The roots of the equation 1 4 20 1 -2 = 0 = 0 are 1 2х 5x2

A: 14201-2512x5x2=01(-10x2-10x)-4(5x2-5)+20(2x+2)=0-30x2+30x+60=0x2+x-2=0

Q: 1 dx then (which statement(s) is/are correct x2 - 4x Consider the integral 1 1 dx = [In(x-4)-Inx]+C ...

A: Given,             ∫1x2-4xdx

Q: 22. The average displacement over the interval 0; is given by xdt X = = The calculated value of x is

A: To evaluate: x¯ =1π ∫0π2xdt We know that ∫xndx = xn+1n+1

Q: Example 6 2+sin n Determine if the sequence a,n n-1 converges or diverges

A:

Q: 1. A jeepney has a windshield wiper on the driver's side that has total arm and blade 10 inches long...

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Q: Determine whether the equation is linear in the variables x and y. 9 sin x – y = 18 O The equation i...

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Q: Let denote the n-th prime number. Show that Pn Pn n=1 diverges.

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Q: Match the parametric equation with the corresponding plane curve displayed. Sx=47-5 y=16 130 104 78 ...

A: The given parametric equation is: x=4t2-5y=16t4

Q: For questions 23-26 consider the following: To solve the differential equation d'y dx? x+2 1 you wil...

A:

Q: dz Q\ let z = 8xy-2x +3y, x = uv, y = u + v use the chain rule to find 2%3D du

A:

Q: For questions 5 to 7 consider the following set of parametric equations: x= 6sint-sin6t; y=6cost-cos...

A: Let's find. 

Q: Which two pairs of points lie on perpendicular lines? A. The points (0-2), (1,7) and (-2,0), (7,1). ...

A: When two lines are perpendicular lines, then multiplication of slope of these lines must be -1.

Q: cosh(sinh(v)) =V1 +x? dy Determine an expression for y'= (your expression will contain both x and y ...

A:

Q: 3. Let V = eP cos(qr), with p = x In(xyz), q = z cos(ry) and r = 2 tan-(y). Ae when x = y = z = 1. d...

A: Explanation of the answer is as follows

Q: For questions 10-12 consider: The volume of a frustum of a cone is given by the formula where x is t...

A:

Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: 2. Use the transformation u = x – 2y, v = 2x + y to find x – 2y 2.x + y Where R is the rectangular r...

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Q: alculate the double integral. tan e dA, R= {(x, y). 10<0S7/3, 0<tS 1/2.}

A: Given the double integral 

Q: Problem 3 A par ticle is moving along a line with acceleration function (in meters per second square...

A: We have  a = 2t +3 

Q: 1. The displacement of a body performing simple harmonic motion is described by the following equati...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Give an example of a differential equation and classify according to order, degree ,linearity and ty...

A: Topic = Differential equation

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh() dx

A: Given that: ∫6cosh(x)xdx

Q: Fihd Paxametric equatiohs for the lihes e 1. The lihe through the origih parallel to the Vector 2+K ...

A:

Q: Find S f(x) dx If 3 for x<3 X for X 2 3

A: The solution of the problem is given in the next step.

Q: 25) At time t=0 sec a stone is thrown straight down off a 250 ft cliff with initial velocity 20 ft/s...

A: Expression for Height need to be find

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

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Q: For questions 14-15 consider the integral (- a? dx x(x² +a²] a? 14. The partial fractions of are x(x...

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Q: Find the point where the line x=8+2t, y3-2t,z=1+t intersects the plane 3x+2y+6z36.

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Q: ak ak+j Suppose j and n are postive integers with n > j, then Select one: O True O False

A:

Q: Q6. log, log, 7 77) is equal to (a) 3log, 7 (b) 31og, 7 (c) 1–3log, 2 (d) 1–3log,

A: topic - logarithmic

Q: II. The graph of y = f(x) is shown below. Determine if f has an inverse fu inverse function on the s...

A: We are asked to find the inverse of the graph.

Q: Which two pairs of points lie on perpendicular lines? O A The points (0,2), (1,7) and (-2,0), (7,1)-...

A:

Q: 3. Given isosceles right triangle ABC with AC as the hypotenuse (as shown below), a circle with cent...

A: