For the given function find dy/dx. = x +2

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Q: -dx is an improper integral. A) True B) False

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Q: cos(x)In(1 + x²) + æ4.8 dx. Evaluate 1+ el.69z – 42.8 answer =

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Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

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Q: n(x) = -0.16(x – 92)+ + (x – 92) – 25.112 14 o(x) = -4.3 tan(0.3(x – 96.4))–29.3 15 p(x) = -1.4 log,…

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Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: Find the indefinite integral by using the substitution x = 3 sec(0). (Use C for the constant of…

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Q: 6. (ax3+ bx2+cx) dx= 2b | x2dx where a,b and c are constants. -9 A) True B False

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: The partial derivative of f(x, y) = e"y – 2x – 4y + 3 with respect to x is O ye"V – 2 af af ery + y…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 5ytx²j+4z² div F= curl F=

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ellti+etj K(t) ||

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Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: 1. [²+3x - 4)dx

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: Ay 4- 2- -> 4 -2-

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Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: ф бху dх + 2ху dy %3D i

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Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: Find div F and curl F if F(r, y, z) = 13y"2°i – 11a2°j – 7xy°k. div F= curl F=

A: We have to find the  divF and curl F

Q: arcsin = ab? x? - Va2- y2: Find y'. 2abe (+0) /a-y 1-y 2ab a 1-y 2ab a /a-y %3D

A: We neee to find derivative of y for the function given below:

Q: 3. Find y" y = vx² – 4 -

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

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F)

A: WS have to solve the vector

Q: Find dy/dx. x = Vt y = 9-t dy dx

A: Here, x=t3y=9-t

Q: Determine the vector field of F. F(x, y) = 9i – 3j

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 5 cos(t)i…

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

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Q: Use the function to find the image of v and the preimage of w. T(V,, V2) V2, 2v, v= (7, 7), w =…

A: In given problem we have to find the image of given vector 'v' and preimage of given vector 'w' .

Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

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Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

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

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Q: Represent the following equations in R? by a vector-valued functions. Imet gaoglecomis shwing your n…

A: Given

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: 21 Given 3x7 +8x5 - , determine, y" O 630x4 + 480x² + 126 5x4 O 840x3 + 360x 504 - 504 O 2520x3 +…

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Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 7 Choose the correct answer below. ki…

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Q: (2.x+ 5y)dx + (4.x – 5y)dy =

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Q: Express py? dA as an iterated integral in the order dydr, where R is the region in the ry-plane…

A: Integral

Q: Q5. Kindly answer within 10 mins, thank you

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Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: We have to find maclaurian series

Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: The solution is given below.

Q: Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary…

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Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

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