1 SSR (x+y)² dxdy

Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: The rate of change of N is proportional to 20 + N(x), where N < −25. N(0) = 10, and N(2) = 25, find…

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Q: Find critical value -5x^3+15x+3

A: This question can be solved using the concept of critical points of a function.

Q: Consider the following. w = √36 - 2x² - 2y², x = r cos(8), y = rsin(0) (a) Find aw/or and aw/00 by…

A: We can solve this as follows:

Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Decide if Rolle's Theorem can be applied to f(x)=x² - 4x² + 4x² +1 on the interval [-1, 3]. If…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: [ Find r'(t) r" (t) given the following vector function. r(t) = (4²+2t)i + (51²+5t)j O 33 +164t…

A: We have to find out derivative

Q: IV. Approximate the following up to 4 decimal places using Maclaurin’s series. 1. sin (110°) 2.…

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Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: To find the minimum distance from a point to a paraboloid is just to minimize the function…

Q: = Which of the following represents the shaded area between y J(a) and y = g(x)! 8 6 2

A: We are asked to find which is represented for shaded area between the curves

Q: dy dx +²y=e*yª dx 4

A:

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: The area of the ellipse is given as A = ab. Find the area of the ellipse 25x² +16y² - 100x + 32y =…

A: given equation of ellispe 25x2+16y2-100x+32y=284

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

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Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: 2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes are…

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Q: Find both first partial derivatives z ² = In ( \ ) (No Response) (No Response) az əx дz ay

A:

Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your…

A: We need to choose correct option.

Q: Given the function of two variables f(x, y)= ln(√x + 16). The partial derivative with respect to x…

A: Given, f(x,y)=ln(x6+y66)

Q: (a) √ (cos r - sin r) da (b) / cot² x da

A:

Q: Use Newton's method to approximate a root of the equation 3x7 + 7x² + 2 = 0 as follows. Let 1 = 1 be…

A: Follow the procedure given below.

Q: Solve the problem. A loaf of bread is removed from an oven at 350°F and cooled in a room whose…

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Q: Given the function f(x, y)= xye+tan² esec2 y The second derivative fyy of f is equal to 0. Select…

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Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: x(t) = L−1 (5s² — 22s +24) s(s² - 4s+8)

A:

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

A:

Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: 2. Suppose that f (x, y), g(x, y) are two continuous functions on the xy plane. Is it true that So…

A:

Q: 8. Use that (1+x)-2 = 1-2x+3x² - 4x³ + for -1 ≤ x ≤ 1 to find the first four nonzero terms of the…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

A:

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

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Q: Find the curvature of the curve defined by the function y=3x^2 - 2x + 4 at the point x=2

A: Curvature is defined as : K(x) = |y"(x)| / {1 + [y'(x)]^2}^(3/2).  Note that :- |y"(x)| means the…

Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: B A 15. 12 F E D Apply the repeated nearest neighbor algorithm to the graph above. Give your answer…

A:

Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = 2³ as follows. Let x1 = 2…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with a radius 18 and with…

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Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: The integral is improper. Select one: True O False 2 [₁² 2x -3 x² - 9 - dx

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-8x³ +95x² +16x-194 4-9i is a zero…

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-2x³+3x²+4x-10 1-2i is a zero

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Q: Find the point(s) at which the function f(x) = 6 - 6x equals its average value on the interval…

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Q: random variables X and Y have the joint density f(x, y) = {1.5 (x² + y²),0 ≤ x,y ≤ 1, 0, elsewhere.…

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Q: Integrate Ja giả Select one: OA. 2-x dz Ina-Inx+5| + C OB.Inx-lnx +51 +C OC. In x-lnx + 5+ C OD.…

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Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

A: Here we have to find the net area of the region above the x-axis bounded by y=36-x2 and the graph…