iv. L, x* (e* – e*) dx

Q: e) f(x) = 3x2 – 7 g(x) = 2x+3 find f(g(x)) %3D

A: Find f(g(x))

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: Pr. #3) Prove that the limit does not exist. cos(4ry)- 1 lim (x.v)-(0,0) 2r + 3y4

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ –…

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Q: Find the product of the two matrices. Give me two answers at each number letter for the A.B and B.A

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

A: To find out all the local maximum, local minimum and saddle points.

Q: -2 Sx'V4 – x²dx

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Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < x < 2n %3D 5, 68 Give your answers accurate to…

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Q: 3dx xV4-x?

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Q: If a, ß be the roots of m (x-x)+ 2mx +3 = Q and m,m, be the two values of m for which a, B are…

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Q: Find a formula for the nth term of the sequence in terms of n. 2 22 23 24 15 20' 25 30' 35 1 an for…

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Q: Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: (A) Estimate the area under the graph of f(z) = 25 – 22 from z = 0 to a = 5 using 5 approximating…

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Q: (1) lim (In ) = z (x1 (j) lim rsin z x→0+ sin 2x + 2 arctan 3x + 3x2 (k) lim x→0 In (1+3x + sin? x)…

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Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: (iii) y= x'e**, y = sin x+eec* (iv) sec x

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Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a…

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Q: Evaluate the following integrals. 29 – 49 dy 2+ 49 а.

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Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: If x = t^2 + 1 and y = t^3, then the second derivative is? (Show your complete solution). a. 3/(4t)…

A: Given that,   x=t2+1 and y=t3

Q: y = V(4x – x²) (1+0.25x + 0.25 sin(x))

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

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Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim

A: This question is related to limits, we will solve it using given information.

Q: dx xVa' +x

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Q: Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume…

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Q: ey 6-2е2у ydy

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Q: f(x+h)- f(x) 8x3- 3–4x-2 blem #1: Using lim,»0 Find the slope of the tangent line y = h 3x+6 = -2.

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Q: Find the linearization L(x.y) of the function at each point. f(x,y) = x2 + y2 + 1 а. (3,2) b. (2,2)…

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Q: The slope field for the system da = 2x + 6y dt D. dy = 2x – 2y dt B is shown to the right. The…

A: Given differential equations are, dxdt=2x+6ydydt=2x-2y Their eigenvalues are λ1=4 and λ2=-4 And the…

Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

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Q: x3 + x² + 2x + 1 dx J (x² + 1)(x² + 2)

A: ∫x3+x2+2x+1(x2+1)(x2+2)dxPerform partial fraction decomposition=∫1x2+2+xx2+1dxApply…

Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: To evaluate f dx, we choose : ,dv = xdx b)u = Vx - 1, dv = x dx %3D du

A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

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Q: Determine the Laplace transform of 2et cos (6t - T). CO 8-4 3/3 (금) s2-8s+52 s2-8s+52 ㅇ (-) -85+52…

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Q: 29 – 44 dy 2+ 49 с.

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