3.) ž sin'(x)dx

Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: Use sigma notation to write the Taylor series about x = xo for the function. e¬4x, xo 1 Taylor…

A: f(x)=e-4xf-14=ef'(x)=-4e-4xf'-14=-4ef''(x)=16e-4xf''(-14)=16ef'''(x)=-64e-4xf'''(-14)=-64e

Q: A general solution of the differential equation - 3+4 = 0 is 1. A. y = c,e* +cze2x + c3xe²x B. y =…

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Q: r=5 sin  18t  i−5 cos  18t  jr=5⁢ sin⁢  18⁢t⁢  i-5⁢ cos⁢ ⁢ 18⁢t⁢  ⁢j It is a circle of radius 1818…

A: We have to find the centre and radius of the circle.

Q: Find div F and curl F if F(x, y, z) = 7e*Y i – 6 cos yj+ 10 sin? z k. - div F= curl F=

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Q: integral

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(1) = i – 26j + %3D (a) r(t) 3ti- 2j + 2 k (b)…

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Q: Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat…

A: Solved below

Q: Find the volurne of the solid generated by revolving the region about the given line. The region…

A: Explained below

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabo arc y = x² from (0,0) to (1, 1).…

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Q: Using Sandwich Theorem 3n? + 1 an = (-1)" n3 – 4 converges to 1 diverges converges to -1 none of…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: Find V. (V × F) if F(x, y, z) = 8 sin xi + cos(3x –- 4y)j+ 4zk. V.(V × F)

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Q: 4) Find the critical points of the parametric equations x = 5 – In t y = t + Int

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Q: Evaluate the indefinite integral. (Remember 26 dz ,7 z' + 2

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Q: Using Long (Euclidean) division then decomposition into partial fractions x4 – 4x2 – x – 3 | dx х2 —…

A: We have to find value of given indefinite Integration.

Q: y = zsin z

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Q: Evaluate the integral of (3x2 + 9y2) dx dy if the interior limits has an upper limit of y and a…

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Q: a jə et v = (560, –335). Find the following: a. The magnitude of the vector. b. The direction of the…

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Q: 5 1. If g(2) = 59 and , g'(x)dx = 25, what is g(5)?

A: The detailed solution is given below Thank you

Q: e2y dy Solve using algebraic substitution Tey-i

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Q: Each of the following statements is an attempt to show that a given series is convergent or…

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Q: Find dy/dx for the following a. e2y+x3=y b. In(3xy) = x+x⁵

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 3…

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Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: Determine the equation of the tangent plane and normal line to the surface at the given point.…

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Q: 3. Evaluate the integral 7/4 1 + cos²0 do cos²0

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Q: Solve the equUations: 1) (D² + 9)²y = 0 2) (D2 + 49)²y = 0 3) (D2 + 36)²y = 0

A: As per our guideline we are supposed to be answer only first three parts of question you can repost…

Q: (3x? + у?)dx — 2хydy %3D 0

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Q: -3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) =…

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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: Find curl(Sz i+6x j + 7y k), curl(Sz i+ 6x j + 7y k) =( i+(

A: This question van be solved using the concept of curl F.

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: x²y" – 3xy' – 2y = 0 а.

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Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Find the area of the region bounded by  y=x^3,y=x+6 and       2y+2=0.

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: each of the following functions determine dr

A: Given query is to find the derivative of the expression.

Q: f(9(x)) = 5 (x + 4) 2 f(g(x)) = (2a² + 3x – 5)7 f(g(x)) = (3x – 1)25 1. - 3.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to…

A: For the arc y = x2 and the range of x from 0 to 1. So, dy = 2x dx. Now,…

Q: Describe the graph of the equation. r = 15 sin 18t i + 15 cos 18t j O It is an ellipse in the…

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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: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: Let 7(t) = < 4t° – 4, – 2e*, – 3 sin( – 5t) Find )dt (don't include the +C)

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Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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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: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given: x=4y, x=-4y, y=1   From the given curves the bounded region is as shown below;

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. dy dx?

A: Consider  ∂3y∂y∂x2=