x" dx S -dx X cos xdx sin xdx c xdx sec² secx tan xdx S Sesc² S So ex dx cscx cot xdx csc xdx bx dx 1 √₁-x² 1 1+x² Ss -dx -dx In xdx = sec xdx Antiderivatives

Q: √x +3 If f(x, y) = xy +7 the domain of f(x, y). Select one: True O False then the point (1, −7) is…

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

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Concept: Using Left Riemann Sums and Non-Uniform Partitions, a Process for Approximating Definable…

Q: 1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges,…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

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

Q: stion 2 [ Given the function xye* 2x³ +50y² f(x, y) = ind the domain of f. ind lim (x.v)-(0.0) f(x,…

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: Find the derivative of the vector function, r(t) =

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Q: Determine whether the series Σ or divergent. +∞0 (-1)" 4" 100 is absolutely convergent,…

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: 18. If A = 6 a. d. 14 5 0 10 10 1 14 0 01 7 0 b. 0 11 16 C. 8 9 12 14 3577 NOV00 7 572 7 6 7 1 2 61…

A: In this question we have to multiply Matrix.

Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: 1) [2 Consider the DE: 15x²y + 3x³y - 24y = 0. A) Solve the given differential equation by…

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Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: 4. (x² + y²)dx − 2xydy = 0

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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: 8 [² Given f(x) (a) (b) (c) (d) dx = 16 and 8 Lotn [190 8 ¹L90 [f(x) + g(x)] dx 8 [²² Need Help?…

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. a)…

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Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

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Q: 10. Given the complex function 1+z z² Evaluate f (₁¹) A. 1 + 3i f(z) = B.-1-3i = C. 1-3i D. -1 + 3i…

A: Given that a complex function - f(z) = (1+z)/z. And we find f(1/(1-i)). Here i = "iota" that is an…

Q: If  f(x) = 4/x and g(x) = 6/x, find f(g(x)) and g(f(x))

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Q: Inverse functions Let f(x)=11x+10   Find f^−1(x)  f^−1(x)=

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Q: Is the scalar valued function f(x)=(x^2-1)/(x+1) continuous?

A: This is a problem related to limit and continuity of the function. Please follow the procedure given…

Q: The solution of the following non exact differential equation (cos x) dx + (1+² sin x)dy = 0 is:…

A: The given differential equation is;  Cosx dx +(1+2/y Sinx) dy=0

Q: Sx -1 xtan xdx

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

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: Find the centroid of the region bounded by the graphs of the equations using any method. y = √9-x²,…

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Q: Let f(x) = 2x+1, if x1 O (-∞, 1) U (1,00) O (-∞0, 1] U (1, ∞0) OR O (-∞0, 1) U [1,00)

A: topic- limits and continuity

Q: II. Answer the following questions. Write the complete solution set on a clean sheet of paper. -0-…

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Q: Given: S dx x+2x3

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Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x² - 6x + 4, xo =…

A: We have to find the x1, x2 , x3.

Q: 1 a. (x + 1) dx = 35 2 b.7 27 - C. 2 d. -17.5 1/0

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Q: Exercise: 11 [ Solve the non-exact differential equations (Apply Rule IV)] 2. (xy³+y) dx + 2 (x²y²…

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: 3. (y + ²+ ) dx + (x + xy²)dy = 0 3 2

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Q: (5x¹2xy)dx + (6y+kx²)dy = 0

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Q: The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3…

A: This question is based on two variable limits.

Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: Question a) b) Let f(x, y) = 2√x - y²e-2xy Find fx and fy. Evaluate fxxy(4,-1). + NIA

A: Given :fx,y=2x-y2e-2xy+2y

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: Let z = √7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2.

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Q: π/2 0 /1-cos2xdx

A: solution:-∫0π21-cos2xdxwe know that cos2x-sin2x=cos2x1-sin2x-sin2x=cos2x1-cos2x=2sin2x

Q: ax+2, x≤2 f(x)=4-x². 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find the…

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Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

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Q: 1 S dx 1/2x² √√x² +4

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Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

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 .