An equation of the plane passing through A(1, -2, 1), B(4, -2,-2) and C(4,1, 4) is: None of these This option x -y + 2z = 1 This option P

Q: Find the Taylor polynomial P3(x, y) of degree three of the function f(x, y) = sin(xe") at the point…

A: Given function:- fx,y=sinxey

Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

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Q: Find an equation for the line tangent to the graph of y = tan point (2,1/4). ¹(x) -1 What is the…

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Q: Find the volume formed by rotating the region enclosed by: y = 5√x and y = x about the line y = 25…

A: Given that  y = 5√x  y = x  about line y = 25

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t²-6√t,…

A: v(t) = t2 - 6√t and s(4) = 8  We have to find s(t)

Q: Gonzalez Manufacturing borrowed $30000. Part of the money was borrowed at 10%, part at 12%, and part…

A: Let the money borrowed at 10 % = x Let the money borrowed at 12 % = y Let the money borrowed at 14 %…

Q: Question 1 (1 point) If p = [5,-3] and q.= [1,4], find | p - 5q| a) 529 b) 23 c) [4,-27] - d)…

A: We can solve it as follows.

Q: Jump to level 1 Order the functions by growth rate. a(x) = ln(x) + ln(x) c(x) = 55x +55x³ Select…

A: Given   Order the functions by growth rate. a(x)=ln x+ ln x b(x) = log₂(x) + 65x! c(x)= 55x + 55x3…

Q: 2. Rewrite the integral f(x, y, z)dzdxdy using the order dxdydz.

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Q: 29-32 Find the values of p 1 29. X -2 n(In n)P 31. Σn(1 + n²)P n=1

A: Please see the below picture for detailed solution.

Q: (0) Σας (3) COS n=1

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Q: Identify the open intervals on which the graph of the function is concave upward or concave…

A: we have graph of a function  f(x) :-then we have to find the interval in which function is concave…

Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

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Q: 9) /(x) = 3 · -8 -6 -4 -2 | x + 1 20 18 14 1 12 10 8 ଣ 4 + 2 2 4 6 X

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Q: EXAMPLE 2 Prove the following limit. lim 5x - 6 = 14 SOLUTION 1. Preliminary analysis of the problem…

A: we need to find the value of δ such that the given limit is satisfied for any chosen ε.

Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

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Q: ind the relative extreme points of the function, if they exist. Then sketch a graph of the function.…

A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

Q: 5. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? If it…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: Consider the following cost function: C=0.3q³-3q² +70q+150. When output is 18 units, average cost is…

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Q: 3. Determine the intersection (if any) of the following planes. Show your work clearly ₁: 2x + 3y z…

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Q: Find the volumes of the solids whose bases are bounded by the circle x² + y² = 25, with the…

A: We have to find the volumes of the solids whose bases are bounded by the circle x²+ y² 25, with the…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Shown in the table is a runner's speed at various times. Use this data to sketch a curve relating…

A: Given,

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

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

A: To evaluate the given integral,Use the substitution u = 1 - 2t  .

Q: of tion on the given interval by comparing values at the critical points and endpoints. 29. y = 2x²…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

Q: Determine the area of the triangle shown below using your knowledge of vector (-4,2) B A(3,5) 1718-8

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Q: Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 11 Σ(i +…

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Q: Solve the system of equations by using the inverse of the coefficient matrix of the equivalent…

A: To solve the following system of equations

Q: Graph the system of inequalities. Then find the coordinates of the vertices. y-3x - 3 y + 3x ≥ 9 y ≤…

A: We have to find co-ordinates.

Q: K Estimate the volume of material in a cylindrical shell with length 46 in., radius 9 in., and shell…

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Q: Shown in the table is a runner's speed at various times. Use this data to sketch a curve relating…

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Q: Evaluate the line integral, where C is the given curve. √xy y = 2t, C xy ds, C: x = t²₁ 0 ≤t≤ 1

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Q: Given z=f(x,y)=5-8 (5x-y) find and ax ay पेर 一

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

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: 4 The volume of a cantaloupe is approximated by V=3. The radius is growing at the rate of 0.5…

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Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product given by…

A: A company determined that the marginal cost, C'x of producing the  xth unit of a product is given by…

Q: he time t, in minutes, between successive arrivals at an emergency room of a certain city hospital…

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: evaluate to dx dx integral 540

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Q: dz Find given: dt z = zeby, z=t¹, y=4+5t dz dt Your answer should only involve the variable t…

A: Here , we have given some functions now we have to find out differentiation of them

Q: Use differentials to estimate the value of 1.5. Compare the answer to the exact value of $1.5. Round…

A: By using differential to estimate the value of 1.54.  To compare the answer to exact value of 1.54.…

Q: Find a basis for the eigenspace corresponding to the eigenvalue. A = 622 2 94,λ=5 -2 -4 1

A: Given matrix:- A=622294-2-41

Q: 9. The Riesenrad, or Great Wheel, was a ferris wheel build in Vienna, Austria in 1897. The diameter…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x2/162,…

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Q: The figure below shows contours of g(x, y) on the region R, with 5 ≤ x ≤ 11 and 2 ≤ y ≤ 8. Using Ax…

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Q: Show that the lines L₁ : x = 5-t, y = 2t, z = 5+t and L₂: x = 1 + 4t, y = 3 - 8t, z = 5 - 4t are…

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