54 2 [ -2 0-1 (x³ - 3yz)dxdydz

Q: 1² of S Let ƒ(x,y)=e³, x=ln(st), y = . Write the Chain rule, then use it to find t at Do not…

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Q: 12 Find equations of all lines having slope - 3 that are tangent to the curve y = X-7

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Q: Your bank pays 8% interest, compounded semiannually. Use Table 12-1 to find the future value (in $)…

A: Your bank pays 8% interest, compounded semiannually.

Q: Find the area of the surface. The portion of the cone z = 2√x² + y² inside the cylinder x² + y² = 36…

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Q: Consider the vector field F (x, y, z) = (z+y)i + (5z + x)j + (5y + x)k. a) Find a function f such…

A: We have given a vector field and we have to compute the line integral.

Q: Find the area inside r = 3 sin and outside r = 1+ sin 0 O T None of the given choices 01 O 0 7|4

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Q: Graph the following function: 3π ( 2 ( x + ³/4)). y = 3 sec 2 - 2 -

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Q: Problem (2) Consider the region in the first quadrant under the curve y = 1 − 4x²,0 ≤ x ≤ 0.5. Use…

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Q: (a) Use rotation of axes to show that the following equation represents a parabola. (Write the…

A: Given equation is:                         ..............(i)To eliminate the xy- term , you need to…

Q: Find Vz. 3xe¹y x + 5y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

A: To find .

Q: (b) A water tank is shaped like an inverted cone with height 8 m and base radius 1 m. If the tank is…

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Q: Show that I is not a zero of 3 2 P(x) = 8x³ + 6x² – 3x-1 -

A: To show that  is not a zero of the following polynomial.

Q: Find the series solution first 8 terms. about an appropriate point. Write down the

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Q: 2. Identify the transformations for each of the following from y = √x a. y=√√9(x-3) b. y = -√4x+8-1…

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Q: Use a right-hand rectangular approximate to estimate the area under the curve over the interval [0,…

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Q: In the image below the graphs of two functions f and g are given. The green region has an area of…

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Q: ſ sin(2x) cos(3x) dx - do NOT use the "product to sum" identity for this, even though it is easier.

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Q: (3) J -x² + 4x 2 x³ + 4x² + 4x + 3 dx

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Q: Q/Find the differential equations 1 2 3 dx + 2/x dy = dy = 2x²y²dy 4 2 ✓ + ² y = x/2² y y xdy - ydx…

A: According to our bartleby expert guidelines only first individual question is to be answered kindly…

Q: Find parametric equations for the line through (6,6, -1) perpendicular to the plane 3x + 4y + 8z =…

A: The given equation is .

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 3x² + 2y² - 4z (a) Find the rate of…

A: We have to calculate the rate of change of temperature (directional derivate) and then we have to…

Q: -5 1 10 5 10 --5 --10- E -15 -20- (2,-10) (5, -19) 5 The Instantaneous rate of change at x=2 is (8,…

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Q: I 1 -x² + 4x - 5 A B D dx _____ In-x² + 4x −5+ C -tan-¹(x - 2) + C -tan-¹(x + 2) + C tan ¹(x - 2) +…

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Q: The function f(x) = √16 - 2x is continuous on the interval [0, 8]. Which number is its average value…

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Q: (a) Use the Ratio Test to verify that the series converges. lim n! n (b) Use a graphing utility to…

A: The given series to be analysed is,, so, we get the n th term, .(a)Now, the ratio test is as…

Q: For the subset "The set of points on the line given by x+2y=0" verify whether it is a sub space of…

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Q: Given f(x) = 4x-9, compare the range for f(x)and y=√f(x). O Range of f(x):{yly ER} Range of…

A: The range of the function is the set of all possible output values.

Q: JS (52 (5x + 2y)dA where R is the parallelogram with vertices (0,0), (-3,-1), (-5,2), and (-8,1). R…

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Q: For the curve given by r(t) = (9 sin(t), -2t, -9 cos(t)), Find the unit tangent T(t) = (000) Find…

A: For the curve given by , to find the unit tangent vector, unit normal vector, and the curvature.

Q: [x³v 3 Evaluate the integral: 16x²dx

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Q: Below is an attempt to derive the derivative of csc a using the product rule, where x is in the…

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Q: Find all vertical asymptotes of the following function. ƒ(x): 52x+4 3x 30

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Q: 1. Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e²x, a = 0 b)…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Determine whether the Series Convergence or diverges. State the test used (a) k²³² 2K-1 (b) & hthne…

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Q: 2. Use l'Hôpital's Rule to evaluate the following limit. x+2 a) b) c) lim x-2x²-4 sin 5x lim x-0 x…

A: By using L'Hospital's rule, to evaluate the following limits.Note: Since, the student has posted a…

Q: Obtain the limited area between the following curves 5x² + 6y² = 84; 4x² - y² = 12

A: The curves are given as,obtain the limited area.

Q: 16 / FLX Evaluate 1+√3 2 f(x, y, z) ds. f(x, y) = 3y - X S: r(u, v) = cos(u)i + sin(u)j + vk 0 ≤us π…

A: We have to evaluate the integral.

Q: n Exercises 24–29, find the centroid of the region lying between the graphs of the functions over…

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Q: The number of different mammal species observed along a transect through a forest is a random…

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Q: Evaluate Adx. S & dx Where A = X ² + 8x-3 and D=X²+3x B and 2

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Q: Which of the following is an antiderivative of f (x) = tan (e²+ ) on 0 ≤ x ≤ ln ( 7 ) ? A B D sec²…

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Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

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Q: C(x) 1 Suppose that the total cost (in dollars) for a product is given by 1400 + 190 ln(2x + 1)…

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Q: 21. f(x) = 2 cos³x + 3 cos x, 0≤x≤π.

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Q: Find the interval and radius of convergence for the power series √(x+6)h да

A: The series is summation of √n (x+6)n/8n, n from 1 to infinity.

Q: Find the length of the cardioid r= 2-2 cos 0. The length of the cardioid is (Simplify your answer.)

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Q: Match the correct boxes lim, 3-f(x) = 4 and lim+3+ f (x) = 4 lim-3- f (x) = 2 and lim,+3+ f (x) = 4…

A: We have to match the given boxes based on the concept of limit

Q: Compare the domains and ranges of the following two functions. Using graphing calculator. a.…

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Q: A B C D 6 13 The table above gives the values of the differentiable functions f and g and their…

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