Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: Evaluate the double integral using single applications of Simpson's 1/3 rule 2 (x2. 3y2 + xy³) dx dy…

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Q: nd the general solution of the following: 2. (D3 – 4D² + 4D)y = 0 3. (4D2 – 6D + 1)y = 0 4. (25D2 –…

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than…

Q: 25x?y" + 25xy' + y = 0

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: Use a triple integral to find the volume of the region bounded by z = 7x + 8y, z = 9, and the planes…

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Q: The equation of the tangent line and the normal line to y = x² – 4x +

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 5y*x²j +4z²yk. div F= curl F=

A: To find curl F and div F.

Q: Let 7 (t) = %3D Find F'(t) F(t) - « Question Help: D Video Add Work Submit Question

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Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: Find a Taylor Series for the function about x = 0. F(x) = In(3 + 4x) %3D

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to solve above algebraically solution

Q: Which among the choices is NOT true about the continuity of f(x)? x2 -4x-5 if x + 5 f(x) = 2x–10 3,…

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Q: Determine the centroid of the first-quadrant region bounded by the parabola y = 4 – x²

A: Given; parabola y=4-x^2

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: f(1) 100 g(x) lim where f(r) and g(x) are seen in the graph.

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Q: Let y = y (x, t) represent the temperature of an insulated steel pipe of length L. The temperature…

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Q: cosxsin?xdx Solve using algebraic substitutionf V1+sinx

A: We have to find Integration using algebraic substitution.

Q: ..... .... .............. ............... The values y (in billions of dollars) of U.S. currency in…

A: topic- inequality

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: d Caleulate fri(t) - r(t)] and ri(e) x ra(t)] first by differentiating the product directly and then…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

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Q: Find '(t) F'(t) ► <[

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Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: x+1 dx

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Q: ction f has the following graph: -1 4. of the following is an infinite limit? m f(r) +0+ f(x) m f(z)…

A: Topic:- limit calculus

Q: Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat…

A: Solved below

Q: ydx — хdу %3D у?dy

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Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: y" – 2y' + y = Ita² 1+x?

A: We use the method of variation of parameters

Q: y = zsin z

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Q: t cos t?dt can best be evaluated by: A Power Formula B None (c) Trigonometric Transformation D…

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 +…

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Q: Find curl (5z i+ 6x j+ 8y k). curl (5z i+ 6x j+ 8y k) = ( )i + (i Oj + ( i Ok

A: Given that,    curl5z i+6x j+8y k

Q: Find the general solution of the following: 1. (4D2 – 4D + 1)y = 0 %3|

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Q: Consider the parametric equations x = 4 cos(0) and y = 2 sin(0). (a) Create a table of x- and…

A: We know that   cos(-θ)=cosθ  and   sin(-θ)=-sinθ

Q: Find the quotient of the complex numbers. Leave your answer in polar form. co cos

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Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

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Q: Adjust the domain of the rectangular equation, if necessary. y = x^2-7

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Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Which of the following is an antiderivative of f (x) = 52x? O (In 5) 52z – 1 52z +3 In 5 52 - 2 In 5…

A: we have to find anti derivative.

Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.