3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

A:

Q: long

A: We will use long division method.

Q: dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

A:

Q: Find div F and curl F if F(x, y, z) = xªi – 2j + yzk. div F= curl F=

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Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

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Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

A:

Q: b) Find the general solution to the differential equation

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Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

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Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: Use series to approximate the definite integral I to within the indicated accuracy. 1/2 x arctan(x)…

A: We have to find the value of integral.

Q: Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8…

A: Here We have to use the definition of the derivative.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A:

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: V4.01 V4.01 Give your answer correct to Use differential to estimate the value four decimal places.…

A: topic- differentials

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: sin ® 3y cos3ydy cos 3y dy

A: We have to find out the integral

Q: dy 5. Vy -1

A:

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: 3. Find the binomial series for (1+x)3 4. Use the result in problem 3 to give a power series…

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Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

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Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

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Q: If f(x) = 8+r dt, find f(1).

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Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an: n-00 3 - 1n…

A: We have to find the limit

Q: (d) lim Use the graph of the function f to decide whether the value of the given quantity exists. If…

A:

Q: 1. sin 0 =

A: answer is in next step

Q: Consider the following. h(x) = ex2 − 4   Find  h '(x)=   Solve  h '(x) = 0 for x. x=   Find  h(0)=…

A:

Q: Determine the area of the gtven reglon. y = x + sin X Step 1 Note that for the glven reglon, x…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 0 in quadrant II, find the exact value of: 81 If sin 0= sin 0+ sin 0+ 6. (Type an exact answer using…

A: topic - trigonometric identities sin(a+b)=sin(a)cos(b)-cos(a)sin(b)

Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

A:

Q: Determine convergence or divergence of the alternating series. 24) E (-1)n 6n5 + 5 n = 1

A:

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

A:

Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: Find y' and then find the slope of the tangent line at (4, 1849). Round the slope and y-intercept to…

A: Explained below

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: 2. Find the desivative ofy= Binx

A:

Q: division

A: We will solve using long division method.

Q: d) Use the right endpoint rule to approximate the area under the curve of f(x) = 4- x2 on [1,2]…

A:

Q: n = 1 Vn lim n-00 converges O diverges

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Please see the below picture for solution.

Q: Substitute the above values In the equatlon for (3/+ B) (31 + 8) = + 48 II II

A:

Q: 3. For curve y ==x +4x2 - 12x , locate the possible maximum and minimum %3D points.

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Q: show

A: As per the guidelines we can solve 3 parts only.

Q: If f) = x*/x³ ++2 then 13x + 20x 2Vx +2

A:

Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives