sint F(x) = √"* ( *ª*** ( √ ¹ + uª) du) dt Jo

Q: Solve the initial value problem y" — 2y' — 15y = 0, y(0) = a, y'(0) = −9. Find a so that the…

A: Given: y''-2y'-15y=0, y(0)=α, y'(0)=-9

Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

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Q: S 4sin x cos xdx I

A: topic- indefinite integral 2sinθcos(θ)=sin(2θ)sin2(θ)=1-cos(2θ)2

Q: 04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

A: Given :A=420210-2-11, B2312-2-2-121, C=31-3026-121

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

Q: Many patients get concerned when a test involves injection of a radioactive material. For example…

A: Given :   The curve is to be fitted R = Ae(Bt) Taking log both side  log10(R) = log10 A + Bt log10…

Q: Q4: Answer two only: 4 2 2 1 -2 -1 1 Find AB and AC. (A): If A = 0; 2 3 1 B= 2 -2 -2 and -1 2 1 3 C…

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Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: prove that :: 2) (1+i) (1-1)² = 64

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Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Find the critical points of the given function. 1 a) f(x) = -√24/3+2¹/ +2-2/3

A: Since multiple questions are asked, I am answering first question

Q: 3. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: This question is based on finding solution of inequality.

Q: 10. dy dx = X y²√1 + x

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Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: (xx) 2. 6. 3. 7. 8. 9. 10. 11. 16. 17. 12. 18. 19. 13. 14. 15. To divide a decimal number by 1000,…

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Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Find the general solution of the differential equation y" − 6y' + 58y = 0. NOTE: Use c₁ and c₂ as…

A: This given differential equation is 2nd order homogeneous linear differential equation .

Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A: In this question we have to Integrate using the method of trigonometric substitution.

Q: B. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: Please see the answer below.

Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 4,…

A: Need to find out the Wy1,y24

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

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Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

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Q: Q2: Solve the following dx 7x³+14x+15 (x+3)(x+7) 1735 (1) J inte (2

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

Q: 2. Approximate 64.1 by using linearization and use a calculator to compute the percentage error.

A: Given :64.13

Q: , 4x²+x+17 (x+1)(x²+4) dx I

A: Hee, to evaluate the given integral we have to rewrite the rational function.

Q: Find the general solution of the following differential equation. 64y" +80y + 25y = 0 NOTE: Use c₁…

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Q: B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a of S=160t -…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: A particle moves along a line with a velocity v(t) = -2t+4, measured in meters per second. Find the…

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Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: Given that 0. ∞ n=0 x = 1 1 <- x to x = = Identify its interval of convergence. The series is…

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Q: Use the tabulated values off to evaluate the left and right Riemann sums for n = 10 over the…

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Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

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Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: Find both first partial derivatives. z=(4 xy)/(x^2+y^2) fx(x,y)= fy(x,y)=

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Q: 3): Find the tangent equation to the curve y = sin² x at point x =

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Q: Find the area of the given region. y = sin(x) y 2 R|4 + + T Зл T

A: In this question we have to find the area of the given region.

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: Given f(x) = - 12√x + fractions. f'(x) = The domain of f'(x) is 20 X 18, find f'(x) and its domain…

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Q: 013 Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given…

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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: Given :lnx-y=xy+y3y=tan3cot7x

Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

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Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0

A: