What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1

A: This question is related to double integration, we will solve it using given information.

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: The directional derivative of f(x, y) = xey + cosxy at P,(2,0) in the direction of the vector 3i -…

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: H.W: find dz and dz as functions of u and v if: ди Əv z = 4e* ln y, x = ln(u cos v), y = u sin v

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Q: 3 A line passes through the point (-6, 4) and has a slope of 2 Write an equation in slope-intercept…

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Q: Suppose that the functions h and g are defined as follows. h(x)= (-5+x) (5+x) g(x)=-8-6x (a) Find…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

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Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…

Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: The sum of the geometric series Two (n=2 4n+1 n=0 5n-2 is

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Q: Evaluate the following integral using inversion of order: SS²x5 dydx

A: I =∫xn dx= xn+1n+1 Ans = 1/72

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: O False

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Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: 6. Mr.Eltohamy is the quarterback of the MPM2D1 touch football team. During the game, he passed the…

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Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

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Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

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Q: Find the curvature K of the curve. r(t) = etcos(t) i + etsin(t) j + et k

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: We want to use the Alternating Series Test to determine if the series: cos² (**)_~_~(*))) k 3k k=1…

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A: In this question, we want to compute the length of the curve.

Q: Using implicit differentiation, find dy dx √xy = − 1 + xy

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Q: Solve: y" + 4y = x² + ex Yc=C1+C2. Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: Please see the below picture for detailed solution.

Q: f(x, y) 4xy; R is the region bounded by the graphs of y = V1 - = x² and y = 0 for 0 ≤ x ≤ 1

A: Solution is given below:

Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: Find all solutions of the equation in the interval [0, 2π). cos3θcosθ+sin3θsinθ = -1 Write all…

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Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

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Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: The graph off-1 is given below. Graph the tangent line to f-1 at the point P(1, 1) for f(x) = -x³ +…

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

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Q: <2, U = < 4, 5, x

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Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot…

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Q: Choose the angle (in radian) between the follow u = and O 3.142 O 1.047 Од None of the others O…

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Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

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Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2&lt;x&lt;34for x≥3

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: 8. Determine the radius of convergence and interval of convergence for the power series 80 n=1…

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Q: The point (6,-9, 7) is the center of the sphere represented by the equation x² + 12x + y² - 18y…

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