Find the function whose tangent line has the slope e for each value of x and whose graph passes through (0, 2) e* +2 +1 20

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Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

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A: Given question:- What is the difference between the linearization, L(x), of f at a, and the linear…

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: (2) Scass sydj 3) $ ( x 2 = 10) 2 3 2 १) (क olx dx

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Q: Find k, given f(x, y) = k(y² + xy) and [[ f(x, y) dxdy = 54 R R=0<x<y<2

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A: Given, 6 sinπ4x=5

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Q: Evaluate the line integral F dr, where C is given by the vector function r(t). С F(x, y, z) =…

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Q: Find a polynomich of Jegree 4 with Zeros x = 1₁ x=2, and x=i.

A: Given polynomial has zeros x=1, x=2 and x=i. Therefore (x-1) ,(x-2) and (x-i) is factor of…

Q: 3x x²-9 14. For the function f(x)=- a) The x and y-intercepts. find the following

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Q: Evaluate the double integral Answer: z²y dA, where D is the top half of the disc with center the…

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Q: Rewrite the expression as a single logarithm. In 6-In 5

A: This question can be solved using the concept of logarithm.

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Q: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

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Q: Decide if the given value of x is a critical number for f, and if so, decide whether the point for x…

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

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Q: Jo (ye* - Inyx) dx

A: The given integral: ∫yex-lnyxdxWe need to evaluate the integral.

Q: Solve the given differential equation by variation of parameters. x²y" + xy' - y = In(x) y(x) = ,X >…

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Q: Determine an equation for the family of cubic functions, in simplified form, with the following…

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Q: 5x *(2,3)=ze4%. yer. Then Vf= and Duf(1, -1) in the direction of the vector (1, 1) is

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Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: z = cos(x² + y²), nd Əz/əu and Əz/av. The variables are restricted to domains on which the functions…

A: Use chair rule.

Q: Find the exact length of the curve = √(y - 3), 1 ≤ y ≤

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Q: Evaluate the following integral or prove it divergences ez [Fot e²x + 3 da

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Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (a) Find the volume of the…

A: Here we have  to use the concept of vector

Q: M (3) 20 최대 n=2 1 8 H "n=1^²+1

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Q: Find area bounded by the carves. (Round answer to 2 decimal places) y = 7x² −2x _y=x³ -7x+4 +

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Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

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Q: A 14 -13 -12 11 -10 -9 -8 -6 -5 -4 -3 -12 41 J 4 3 2 7 + -2 -3 -4- −5+ 2 3 4 3 6 The curve above is…

A: We have to find the equation of graph.

Q: Solve the given differential equation by undetermined coefficients. y" + 16y = 5 sin(x) y(x)

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Q: 12. DETAILS Find the area of the surface generated by revolving the curve about each given axis. x =…

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A: Given : two curve y=x ln x - 3x and y=1            bounded by x=3 and x=6

Q: Evaluate 2T 3 ["* cos³² (w) sin³ (w) du dw. π

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Q: he indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: 1. For the following sequence, give an explicit formula for the nth term. 4 9 16 25 36 49 1' 3'9…

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Q: Determine the partial fraction decomposition for the following expression 7x²-17x +38 (x+6) (x − 1)²

A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

Q: Question 2 a) The following differential equation of y(t) is solved by Laplace transform. d²y dt² dy…

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Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

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Q: 1. If Amy can type 25 words in 2 minutes, how many words can she type in 9 minutes? (SET UP…

A: If Amy can type 25 words in 2 minutes,how many words can she type in 9 minutes? (SET UP PROPORTION…