1. Find the 45th of the arithmetic sequence -18, -22, -26, -30

Q: 29- 3D (2) H

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Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: S V1 + x dx 5.

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Q: Evaluate S2 sin? x cos3 x dx

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

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Q: 6x 24x - 6x is g'(x) = * is R'(w) = 4. The derivative of g(x) (2-x)2 4w5+4w3-6w²+3 2-x 5. The deriva...

A: 4) Given:       gx=6x22-x      g'x=6·ddxx22-x                =6·ddxx2·2-x-x2·ddx2-x2-x2             ...

Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

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Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: Consider the accelertation function of a particle a(t)= -cost + 2e^t measured in meters per second^2...

A: Let a(t) be the acceleration function of a particle at time t. Then velocity function of this partic...

Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: A cross section of a parabolic mirror used in this type of parabolic solar collector can be modeled ...

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Q: Given that "h(x) f(x) = r h(-1) = 5 h'(-1) 8 Calculate f'(– 1). Hint: Use the product rule and t

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Q: V3 13) tan 3.

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Q: Listen Rewrite the vector as a linear combination of unit vectors. v = Ov= -2b + 9c Ov = -2j+9k Ov ...

A: For equivalent vector magnitude and slope must be same

Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it. 

Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane, ...

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Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

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Q: A spherical balloon with radius r inches has volume V(r)= (4πr^3)/3. Find a function that represents...

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Q: Consider the Cobb-Douglas production function f(x, y) = 40x/y/3. Compute f(125, 64), f(64, 8), and f...

A: We to put given value in the function

Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If...

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Q: S. dx What should be the rewrite of so that the resulting integral is integrable? 1- cos x ® Sa-. А ...

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by 

Q: b. [3f(x) - 4g(x)]dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: An object is thrown vertically upward from a point 32 feet above the ground with an initial velocity...

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Q: Lesson: LINEAR DIFFERENTIAL EQUATIONS Instruction: Find the general (or particular) solution of the ...

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Q: In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R ...

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Q: 4(1+In²e) -1 d0 Otan -'(In®)

A: topic - indefinite integral

Q: Find the general (or particular) solution OI the differential equation beloW: (e + 2xe + x²) dx + (x...

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Q: Derive the function Cos

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Q: ху'- у - 5х1 — Зх? + 2х %3D 0

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Q: Evaluate the limit. lim 十十ダ

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Q: 1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0 <a< 7/6}. %3D

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: ft along a straight, level road decelerates at a constant rate of 22 ft when the brakes are applied....

A: Given query is to find the displacement function.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 04 - +C 3ln® do : OP 2 2e A True B False

A: The given integral,∫2e3lnθ dθ=θ42+C

Q: A. Determine if the following functions are continuous at x = c. (f) f(x) = 23 - 3x; c= 1 %3D (g) f(...

A: NOTE: Refresh your page if you can't see any equations. . the given value of c is 1 so take x=1 ...

Q: Ex 3: Use the chain rule to express in terms of x and y dx c) y = ( and x =-1 att 2

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Q: Use your analytic calculation to show me: sin' 0 do = 0 -27 sin e de = 7

A: Given problem:-  

Q: sin? x dx

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

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Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: If lim, va f(x) = lim, »a+ ƒ(x), then lim, »a f(x) does not exist. Select one: O True O False

A: Since we are given with multiple number of question answered according to the guideline,.

Q: 7(t) =

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Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of t...

A: Initial point A=(3,6)Terminal point (-2,-8)let a and b are position vector of point A and B, Then a=...

Q: Find derivative: (b) y= -3x" 4

A: We have to find the derivative of given function.

Q: 4. Evaluate the limit of as e approaches 0. 2a A 2 B. % CO D. infinity

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Q: dx What should be the rewrite of so that the resulting integral is integrable 1- cos x A Sa-- sec x)...

A: Given query is to rewrite the integral.

Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin Sho...

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Q: y = Ae2* + Bxe2x

A: The solution is given in the next step.

Q: Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Ban...

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