(-2t +1 if t

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

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Q: Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please…

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Q: 5. y= log, vx´ +

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: if t<B ft2B Given the function Rt) =1 t2 +1 (-2t+1 %3D Determine one value for B for which the…

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Q: 6x2 + 23х — 9 -dx х3 + 2х2 — Зх

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: 2. f(x) = x´ – x + sin(x) – 1 Solve this question by the Fixed-point method on the topic of solution…

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Q: 5 dA over the region R bounded by y = Vx, y=0, and x 32 using Write an iterated integral for R. a.…

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Q: The figure shows the graph of y 3". Using the graph, find the values of ALPHA Mathemolics Educotion…

A: given a graph of a function y=f(x), y represents the value of the function f at x=a written as…

Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

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Q: Find the average height of the paraboloid z = x² + y? over the square 0<x<4, 0sys4.

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Q: Prove that if A and B are any vectors, then the vectors lBl A + lAl B and lBl A - lAl B are…

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Q: If f(x) = sinx + cosx sinx - cosx 2 show that f'(x) = sin 2x – 1

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Q: Consider the curve segments: 1 - to x = 4 and 3 1 to x = $1: y = x² from x S2: y = Vx from x = = 16.

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Q: () Write the linear system in matrix form. Assume X = dx 3D —Зх + 5у - 92 dt dy dt 4x — У dz 10x +…

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Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: Find dy/dx by implicit differentiation. (sin nx + cos my) 5 57 dy/dx = %3D

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Q: 2): Consider the DE y" – y" – 6y = 0 -

A: Follow the procedure given below.

Q: 7. Prove that if A and B are any vectors, then the vectors BA + |A|B and B|A- JA|B are orthogonal.

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Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: lim ((6x + 2) (3x² – 3)) = x-6

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 15 sin(t) + 4…

A: We have to find s(t).

Q: The helix of radius R, height h, and N complete turns has the parametrization nNt 2n Nt r(1) = (…

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Q: V9 - 4x? dx

A: See the details solution in below

Q: 4. Find the number of surjections from {1, 2,..., m} to {1, 2, ... , n} such that no element in the…

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Q: at

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate the derivative by using the appropriate Product Rule where r, (t) = (r,r,5t), r(2) = (2,…

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Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

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Q: What does the average velocity over the time interval [a, b) approach as we let b a. Mathematically…

A: Average velocity of a body is defined as the change in position or displacement (Δx) divided by time…

Q: 5. The initial value problem which describes the motion of a certain undamped harmonic oscillator is…

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Q: The side lengths of a triangular park are 11 yards, 13 yards, and 16 yards. What is the area of the…

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Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: x2 - 11x – 18 34. x(x² + 3x + 3)

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Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: 5. The graph of f (x) is shown in the figure. Let YA y = f(t) A(x) = f f(t) dt F(x) = f(t) dt Area =…

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Q: 1 Use the transformation u = 4x+y, v=x+2y to evaluate the given integral for the region R bounded by…

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Q: 4x2 + 21x + 54 -dx x² + 6x + 13

A: Given,            ∫4x2+21x+54x2+6x+13dx

Q: %3D 3. For y = f(x) = 6x, x = 4, d and Ax 0.08 find a) Ay for the given x and Ax values, b) dy…

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Q: Use the given information to find f '(8). f(x) = g(x)h(x) g(8) = 5 and g'(8) = 1 h(8) = -7 and h'(8)…

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Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3,…

A: As we know that; The expression for the the vector projection u onto v is: projvu=u·vv2v And The…

Q: 5. An investment that earns 7.5% per year compounded monthly. What is the actual annual (1-year)…

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Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: This question can be solved by applying the relation between CPI  and inflation rate.

Q: 4-ス しx-x2 しim

A: limx→164-x16x-x2Apply L-Hospital

Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2- cos(0)

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Q: 2) Use Green's Theorem to compute f F df where F=(3x + 4y)i + 2xyj and C is the triangular path from…

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Q: 8. y=x".7* 9. у%3 Inlog, x

A: Let's find.