S 3 7 39+x² dx

Q: (x²+1)³ .dx

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Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: The evaluation of 2xe³ dxdy is 3e-1 O e-3 e-1 O None of them O -3e

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Q: 7. Obtain the MacLaurin series representation of f(x) = In(1-x).

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Q: L sin2t cos3t

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Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral

Q: L sin2t cos3t

A:

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: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: In x dx

A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

Q: (a)[1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

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Q: Evaluate the following integral using inversion of order: So ²5 dydr Remember to show complete…

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Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

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Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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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…

A: We have a given function g=3e^x cos(yz)

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

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

A: The objective of the question is determine the length of the curve given in polar form.

Q: 4677×34677

A: 4677×34677= 162184329

Q: 9. Use the divergence test to determine whether the series diverges or state that the test is…

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Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

A: Solution given below

Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is (b) The indefinite integral…

A: Solving the question by finding the value of the problem.

Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: Set up, but do not evaluate, an integral that represents the length of the parametric curve Select…

A: Application of integration

Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

A: See this solution in below.

Q: The value of p for the series - 2n n! by using ratio test is -1 O 8 NO - 2 O о о 1 O

A:

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: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: The equations of three lines are given below. Line 1: 6x+4y=-8 Line 2: y = x-3 Line 3: 3y = 2x+4 For…

A: The given lines are:Line 1: 6x+4y=-8Line 2: y=23x-3Line 3: 3y=2x+4

Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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

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Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: If a = (-1,-4, 4) and b =, then a x b equals: O-4i-k O 4i+k O i+ 4k O 4i+k None of the others.

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Q: 6 If f f(x) dx=19 and fo g(x) dx=27, then, find 6 (5 f(x)+g(x))dx. O-68 O 46 O 122 O None of them. O…

A: Solve the given

Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

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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: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: Graph one period of the function f(x) = -sin(3x)

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Q: 100 The value of p for the series Ση=1 2n | n! by using ratio test is -1 8 N 2 0 1 O

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Q: Use a fixed-point iteration method to determine a solution accurate to within 10-2 forx-3x²-3=0 on…

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

A: