A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors. Ob) AC=AB + BE O c) AC = AD + DC 1 E D

Q: Given that lim f(x) = -7 and lim g(x) = 6, find the following limit. X-3 X-3 lim X-3 2-f(x) x+ g(x)…

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Q: For each polynomial function below, indicate the degree, the leading coefficient, and the end…

A: Given :1. fx=-3x4+2x3-8x2+112. fx=8x3+x2+7

Q: Question 1 [ Let 7 f(x, y) =ln(xy)-50x³y Find fx, fxy and fxyx.

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Q: and x = = z = e-22 In (2-y), Select one: O True O False - 6t, y = t-s, then the value of 3 is equal…

A: In this question we have to find whether the given statement is True of False.z=e-2x…

Q: The partial fraction decomposition of the rational function 3 2x + 5x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: 1. (xy² - x²) dx + (3x²y² + x²y - 2x³ + y²)dy = 0

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Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 15,-5) Vw(7, 15,-5) =…

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Q: 253-45-8 (5²-5) (5²+4) 253-15-8 s(5-1)(5²+4) Focusing on 5(5-1) (5²+4) A+B (3-1) S on denominator +…

A: Solution of given question is written in below steps.

Q: 1. (x² + y² + 2x) dx + 2ydy = 0

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Q: 01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

A: This question can be solved using the concept of definite integrals and modulus function.

Q: Which of the following is a valid expression for cos ¹ x? 04-sin-¹ a 01/2+ + sec¹ a 1 sec-1 01-…

A: The given expression is cos-1(x)We have to find the valid expression for cos-1(x)

Q: Find the indefinite integral by usi Integration by parts formula: 5

A: ∫ x5lnxdx

Q: Use logarithmic differentiation to find dy dx · if y = x¹(1+x), x > 0.

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Fill in the blank to complete the trigonometric identity. so(-u)- sec = X

A: This question is based on Trigonometric identity.

Q: J7 -dz 21-8

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Q: Find dy dr dy dr for y = ㅇ 2 5+ 6t dt.

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Q: Use the trigonometric substitution to write the algebraic equation as a trigonometric equation of 8,…

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Q: x³ - 2x + 3 lim x++∞ 64x² – 3x³

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Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 5 f'(x) =…

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: This question is based on vertical and horizontal asymptote.

Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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Q: If f(x, y) = 9x² - 6y³ - 7 cos(-6xy + 플) then Select one: O True O False fy(л,0) = -42

A: Given function is f(x,y)=9x2-6y3-7cos-6xy+π2. We have to find fy(π,0) that is partial derivative of…

Q: Work problem 3 Given the vector function F(1) = (51³ — —, sec —7, sec(3 − 1)) - then find the…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

Q: 18 (x² +9) (x+3) -dx

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 24³ 25 By the + + + Limit…

A: here, we will use comparison test to check the convergence .

Q: Jo 1 X dx =

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Q: The result of the integral / is equal to 8 (x − 2)(x + 2) - -dx Select one: ○ In |x − 2] − In |x +…

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Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 36 ft³. If the…

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Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: To find a partial fraction decomposition, we should write: x+6 x²-11x+30 Select one: O True O False…

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Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: 3 f(x) = x³ on on [0, 2]

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x − 3 _ y + 1 4 2…

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Q: Find the radius of convergence, R, of the series. Σ n = 1 R = | 1 Ο μ 2 5 8.. · (3η – 1) Κ Find the…

A: The solution is given below

Q: Question 17 sin Given: f(x) = {¹, if x #0 2T if x = 0 What should be the value of k so that f is…

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Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…

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Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: We have to find the the value of g'(0).

Q: Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33…

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

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Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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Q: Compute the following: fcos (x) sin(2x) dx

A: Given: ∫cos2(x)sin(2x)dx