Find each of the two areas bounded by the

Q: 5xdx 3. Find the integral (x-1)3 -5 5 а. 2(x-1)2 + C x-1 -5 b. 2(x-1)2 + C x-1 c. In (7DE) – in () +…

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Q: Find the partial derivatives of f (x, y) = 5x°y². %3D (a) fa(x,y) = (b) fy(x, y) (c) fa(3, y) = %3D

A: ∂xn∂x=nxn-1

Q: Using the Nth term test for divergence 5 1 n=1_2n +14 5 diverges since lim is equal to 1 2n+14 O 1/3…

A: We can answer the question as below.

Q: Evaluate the integral (12x + 12y)dx + (9x-y)dy along the parabolic arc y = x from (0,0) to (1,1).…

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Q: Find curl (4zi+ 5xj+8yk). curl(4zi+ 5xj+ 8y k) = ( i )i + ( i )j+( i %3D

A: As we know that; The expression for the curl of the vector point function F→=F1i+F2j+F3k is; curl…

Q: If the function f(x) is continuous in the interval [-7.0] and f(-7) = 32 and f (0) = –1, then which…

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Q: Use the formula r(t) - – P) x r"(0)|| to find giớ). ||P() × to find x(t). r(t) = e!l"i + e tj 156…

A: Given problem:- Find k(t) of r(t) =e12t i +e-t j

Q: Find div F and curl F if F(x, y, z) = x²i – 5j + yzk. 2: - div F= curl F=

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Q: Find div F and curl F if F(r, y, z) = 2e*"i– 9cos yj+ 4 sin² z k. div F= curl F=

A: Given: F(x,y,z)=2exyi-9cosyj+4sin2zk

Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Barbara put P100 into banks savings account. The account accrues a 9% interest rate compounded…

A: Given: Amount =P100 . Rate of interest= 9%  Time n= 12 years

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. 2…

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Q: 5) Find the linear approximation to estimate V7.429. Compare this to the true value and determine if…

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Q: 3.5n 7n+1 n=1

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Q: 2) Find and of the following equation then simplify whenever possible. d²y dx dx² x = Cos ß + Sin ß…

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Q: dy For each of the following functions determine dr

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Q: Solve d 4me-m2 dy dm

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Given query is to find rolle's theorem can be used or not.

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Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: 4 f (g(x)) = (3x² – 2x + 4)6 f (g(x)) = (x)(x² + 3)² - 5.

A: We have to find derivative of given function.

Q: 1. Find the particular solution of the DE y" -11y' + 24y = 0 subject to the boundary conditions y…

A: The differential equation can be solved as follows:

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Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1,1).…

A: Given

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A: Cost

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Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: dx а. x V4+ln?x

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Q: f 1 1 3. The graphs of f(x) and g(x) are given above. Find the following: (i) S'(1), where S(x) =…

A: Differentiation

Q: 1.) Find the area bounded by the curve y?= 1 - x and 2y = x + 2 2.) Find the area bounded by the…

A: Solution is given below:

Q: Find the partial derivatives of f(x, y) = 5x*y². %3D

A:

Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

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Q: The integral tan x sec?x dx is an improper integral of type I that diverges none of them is an…

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Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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

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Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

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Q: How many arbitrary constants will be there n the general solution of a second order differential…

A: The number of arbitrary constants in the general solution of a differential equation is equal to the…

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* 3 r(t) = e*i+e*j K(t)

A: First diffrenciate. And then put all the values in formula.

Q: Find T(t) and N(t) at the given point. r(t) = (t – 5)i + tj; t= 5 T(5) N(5) =

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Q: y" — Зу + 9у — 0

A: Given; y''-3y'+9y=0

Q: I. Evaluate the following Definite Integral. 1.) Lº 6x³+4x²-8x 2.) x²(2x³ + 1) dx dx 2x 3.) sin…

A: Given

Q: II. Find the Inverse Laplace of the following 1 a. s² +6s+25 s2 b. (s-1)3 7 C. s4 8 - - - s3 s2

A: According to bartleby guidelines when student post multiple subpart questions then expert must have…

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Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Evaluate the definite integral I (sin(t), cos(t))dt Add Work Submit Question

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Q: 2. dy dx

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (7, 5, 1.386) x(t) =…

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