13. r(t) = e'(cos ti+ sin tj + tk) sto

Q: Problem 8. (c) 2 (In (x))² dx Calculate each of the following integrals. Show all work!

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Q: Find the equation of the tangent line. cuberoot(7x-6) that is perpendicular to the line 12x+7y+2=0

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Q: 4 c) f₁ 3 f(x) dx = d) fº | 5ƒ(x) | dx =

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Q: The integrating factor r"y is multiplied to the differential equa- (2y 6x) dx + (3x - 4x²y-¹) dy = 0…

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Q: dy (f) dx = 2y²e-x dx

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C  where, n≠-1 The common integral:…

Q: In Exercises , sketch the region R of integration and switch the order of integration. 47. f. f.…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: lim ln x x-0

A: Given:      limx→0 ln x Left hand limit:    limx→0-ln x As can be seen, left neighborhood of the…

Q: For questions 1 – 2, let f be the function defined as you see below: f(x) = { x² +kx-2 3x² + 4x+3 x³…

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Q: 2. Evaluate lim (X,Y,Z) TT10,37 -२५ ze cos(2x)

A: limx, y, z→π, 0, 3ze-2ycos2x

Q: compute the instantaneous slope at: (3,-4) Au

A: Let y=f(x)=13x2-4x+5

Q: 4.. Given the function y = x³ +7x, find the differential dy.

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Q: Find the derivative of the function F(t) = et sin(2t)

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Q: A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What…

A: Let's find multiplication of factors of given differential equation.

Q: What is the area of the triangle with vertices given by (22, 12, 21), (22, 16, 21), Area =

A: Topic -Area of triangle We are given, vertices of triangle as (22,12,21),(22,16,21),(22,12,29)We kow…

Q: FOLLOW INSTRUCTIONS PLEASE TYPEWRITTEN COMPLETE SKIP IF YOU ALREADY DID THIS UPVOTE IF YOU FOLLOW…

A: y=x4-x2+2slope m is the derivative of the equation;dydx=ddx(x4-x2+2) using the rule of…

Q: A) True B) False The differential equation f(x)dx + g(y)dy = 0 is exact. ...

A: Let's find given differential equation is exact or not.

Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: b. C. n k n2 M k=1 n IM³ 8 n

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Q: The graph (-7x+8)/(e^x) has a horizontal tangent at x=?

A: The function is given by y = -7x+8ex To evaluate: The value of x at which the tangent to the graph…

Q: Differentiate the equation: y=4x2+8x+2/the square root of x

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Q: Given (13, 8) and (x,- 7), find all x such that the distance between these two points is 17.…

A: given points(13,8) and (x,-7)

Q: (a) (a + b) x (a - b) = -2(a × b). a.c b.c

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Give a verbal description of the region R and determine whether R is a regular x region, a regular y…

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Q: (1 point) Use algebra to evalute the following limit. (3+h)³-27 h lim h→0

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Q: Find: i) fx³dx ii) f8y³ dy

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Q: Solve (x²y + y³) dx 5(1+x²y-²) 18 18(1-y²x-2) 5 a. b. C. d. X Y X y = 18(1-x²y-2) 5 5(1+y²x-²) 18…

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Q: x - 3 im →3 x² – 3x

A: Evaluate the limit of the function x-3x2-3xas x tends to 3 .

Q: write 20190 as a mixed fraction.

A: Given question:- write 201/90 as a mixed fraction.

Q: Consider the differential equation x +T=e* with 7(0) = 1. What is the approximate value dx of T(2)?

A: Given, xdTdx+T=ex with T0=1 We have to find the approximate value of T(2).

Q: Find the distance from (2, -2, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 32, and y3 of the…

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Q: Ders except and -40 Ders except-and- Ders except and -

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Q: 3. The graph of y = f(x) is given. Match each equation with its graph and give reasons for your…

A: I am attaching image so that you understand each and every step.

Q: . Find the polar coordinates (r, 0) for the point whose rectangular coordinate repre- sentation is…

A: Given rectangular coordinate, -3,-1

Q: lim x→16 1 √x-4 8 x-16

A: Topic- Limits We are given limx→161x-4-8x-16and we know thata2-b2=(a-b)(a+b)

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law s=1/1² - 1² =…

A: Given  s = 16t4 - 76t3 - 7t2 + 12t + 1.

Q: Let a = (1, 0, 5) and b = (2, 3, −1). Find a vector that has length |2a − b| and a direction…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

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Q: er linear equation in the form y' + p(z)y = f(z) can be solved by finding an integrating factor μ(z)…

A: we will find the required.

Q: Which of the following is an integrating factor for ydx - xdy = 0 ? al 8 y x

A: Topic:- calculus

Q: x² dx + xy = 1 2 dy dx 3) X (linear equation)

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Q: A B du Which of the following is the general solution of dx u² + 2x² = C xu²+u = C -xu² 2+xu² ? ...…

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Q: #1 #2 Cπ/2 (8 + 4 cos x) dx 0 3 [²³ - (1 − e¯x) dx

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Q: 0 -5 3) a) Given four points on the function y = f(x), A(-3,0), B(0,6), C(2,-2), and D(3,0), find…

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Q: Given h(x, y, z) = 5 x² + 2²-1 7 determine all points at which h is continuous.

A: We have to find the all continuity point from the given information

Q: If f(x) = = f'(x) = f'(4) = 2 sin x 2 + cos x " then

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Q: If f(t) = (2t - ), find ƒ' (t).

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Q: 1 lim x-2x-2 4 x² - 2²

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

Q: 3s +4 F(s) = s(s± + 6s +13) 2

A: Explanation of the answer is as follows

Q: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h