| (ax³+ bx² + cx) dx = 2b x²dx where a, b and c are constants. (A) True B False

Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

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Q: tó úsé co ór -0o, enter INFINITY or -INFINITY, respectively.) (-1)" + 1n! 1. 8. 15 ... (7n + 1) n =…

A: Solve the following

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

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Q: For problems 1- 2determine the dot product, a-b. 1. ā = 9ĩ -8k , 5 = (3.-2.1) 2. and the angle…

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: calculation of above requirement are as follows

Q: Write the first 4 terms of the sequence. a1 = 5, an = - 8• an -1+9, for n> 1 What is the first term?…

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Q: 5. Evaluate r'sin(y³) dy dx

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

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Q: ) Sypposef and g are functionns with continu lerivatives, and that they satisty the followia…

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

Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

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Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: dx (x– 1)%

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Q: coso de by trigonometric substitution.

A: answer is in next step

Q: | h(r)dr 19 and | h(r)dr = 8.3 what does the following integral equal? h(r)dr =

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Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

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Q: For problems 1-4 give the vector for the set of points. Find its magnitude and determine if the…

A: We have to find magnitude of given vector

Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

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Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: Solve the following differential equations of yy' + y' = x;

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Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

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Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The critical point of a function: A critical point on the graph of a function y = f(t) is a point t,…

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Let, First number = x &amp; 2nd number = y therefore, x+y=25   &amp; x-y= 7

Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: Here, the area bounded by the curves y=4+x, y=0, x=0, x=16 is given by: A=∫016∫04+xdy dx

Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: Ay 4- 2- -> 4 -2-

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Q: Have a look at the following graphs and write the mathematical notation of the following definite…

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Q: 2- find fxx and fyy for f(x, y) = x²sin?y

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Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: dr 5. 1 r+3

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Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

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Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

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Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To solve this we have to first write the equation according to given questions

Q: (a) / 6(6x + 7)°dx

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Q: Evaluate the definite integral

A: Evaluate the definite integral .

Q: b) X, + X2 - 2 X3 +Xy = a) 5X +2y = 1 3X +2y %3D = 1 Xz - X3 +2 Xy = 1 %3D = 5 X - 5y = 6 c) 2x, +8…

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Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

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Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: 91 (x). いz 16 モtuて X ultブ -(り+ X uft-) こtれてXutラ =()(つ 3-(x)ナ( zn+1 (6トフ3×マ A) flx)= x?m 167x2 power…

A: Let's find.

Q: H.W: Evaluate the integral 3 0 1 | (x?y – 2xy)dydx | |(x + y + 1)dxdy 1. 2. 0 -2 -1 -1 3 1 4 1 (2х —…

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