1 3 5 8 - 37 13) 3 8. 7 Ans. r = 3 0 - 37 0 37

Q: SIn(5 + VT)dr Algebraic Substitution

A:

Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: The approximate value of -31.8 using linear approximation, O -1.0075 O -2.0025 O -1.9975 O (E) None…

A:

Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: e2t (t3 + 5t – 2) - 6+ 5(s – 2)? – 2(s – 2)³ (s – 2)* 6 2 - | (s + 2)* (s – 2)? 8 – 2 Option 2…

A:

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A:

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Write the expression into single interval L, f(x)dx + L° f(x)dx = 5. f(x)dx – S° f(x)dx =. 4.

A:

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s +…

A:

Q: Eind. the. puse..

A: power series

Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

A:

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

A:

Q: 6. Evaluate the integral /: a sec (x²) tan(x²)d.x. sec*(x²) tan(x²)d.x. sec (x²) tan(x²) (a) + C 6.…

A:

Q: y = e* – axis. and the x - axis is revolved about the y

A:

Q: 5 sin(0) – cos(0) dO Evaluate: со

A:

Q: dr 21. (1+x²)/16 – (tan-l r)² dx e2x+2+2 22. 8. dx x2 - 6x + 25 23. 6. 24. dr J (2 - r)V - 4x +3 dr…

A:

Q: seconds. a) Determine the maximum height and when it is reached, rounded to the nearest tenth. b)…

A:

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) 2 sin x What is…

A:

Q: For each of the following functions z, find and ду 2. z = tan-1 (2)

A: We have to find partial derivatives of z with respect to x and y

Q: 7 In the interval T, 27|the equation sin x = 8 (a) has no solutions (b) has one (and only one)…

A: Solution of (sinx)^2 = 7/8.

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

A:

Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

A:

Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: 100 dx 4.

A:

Q: d of Variation of Parameters: [D² - 8D + 16]y = e4%sec2 %3D

A:

Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A:

Q: 4. 25t 1 dt

A:

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

A:

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

A:

Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

A:

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

A:

Q: Use the Linear Approximation to estimate Af for f(x) = , when a = 2 and Ax = 5+x2 (Use decimal…

A:

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

A: period

Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

A:

Q: 4. f(t) = teatcosbt

A:

Q: What is the first term of the Maclaurin expansion of y = 8 e -0.5t cos t?

A:

Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.