d d. dx tan(t)dt

Q: A car travels down a highway at 25 m/s. An observer stands 200 m from the highway. (a) How fast is…

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Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx² + 5x3 –x-3…

A: Given problem:-

Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: Consider the function: (x^2)/(x^2-4) 1. Find the domain of f. (Using interval notation) 2. Find…

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Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: M The diagram shows the curve y = (x+ 1)e* and its maximum point M. (1) Find the x-coordinate of M.…

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Q: A graph of y = y = f'(x) over the interval [ - 4, 4]. f(x) is shown. In the same coordinate system,…

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Q: dx x3 4. Зх2 + dy y+1 -8(у + 1) %3D 0

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Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: To find the function satisfying the given conditions.

Q: a multi-part problem. If F(t) = + 4t² 412 – t+ 9, find F'(t). 3 This is F'(t) = |

A: Given query is to find the derivative of the expression.

Q: Solve the initial value problem.

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Q: ssume that the two points (x1.y1) and (X2.Y2) lie on the graph of the straight line y = mx +b. Use…

A: here, i am providing my handwritten solution

Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: a/3 Find the value of cos(3x) dx.

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Q: dy - cosec'x. cos x (i) By differentiating 6 show that if y = cot x then sinx' dr (ii) Show that x…

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Q: 57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c)…

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Q: 1 Determine by the direct comparison test if Ln=1 2n+1 converges or diverges .

A: We have to find convergence test

Q: Given the graph as below: ea Write the adiacency matriv for the granh (i)

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Q: 1 dx x (1+x4)4

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Q: Given the function f(x) = 3x – 5 and the function g(x) = 6x² + 8x + 27 determine each of the…

A: The given functions,fx=3x-5gx=6x2+8x+27

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

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Q: Write the sum using sigma notation: 9+ 13 + 17 + 21 + ...+ 57 = B, where n=1 A = B =

A: Topic:- sequence and series

Q: s+13 Find the inverse Laplace transform of s2-6s+34

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Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

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Q: A sphere with radius 1 m has temperature 16°C. It lies inside a concentric sphere with radius 2 m…

A: answer is in next step

Q: %24 #3 %3D (Copy) Questic Find all vectors u that satisfy the equation (1,1,1) xu = (-2,- 1,3).…

A: The solution is given below

Q: Find the area enclosed by the given curves. y = x°, y = 4x 4. O 16 2 8.

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Q: Find the volume generated by revolving the region bounded by y = - cos x and y = 0, from x= - 2x to…

A: Here, the curves y=-cos x & y=0 from x=-2π to 2π revolved about the x-axis.

Q: x² b. x²-4

A: Given: So,             f''(x)=x2x2-4''          =-8xx2-42'          =-8-3x2-4x2-43 Concave Up:…

Q: y= f(x) -2- 2 4 8 Evaluate the following integrals by interpreting them in terms of areas: (a) f(x)…

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Q: A surface S has a parametrization Þ(u, v), whose domain D is the square shown in the figure. Suppose…

A: We need to estimate integral.

Q: The sum 5 x) dx + -1, fx) dx can be written as a single integral in the form f(x) dx Determine a and…

A: Given query is to find the single integral fir the expression.

Q: solve

A: We will solve the problems.

Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

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Q: find dy/dx by implicit differentiation is 3y^2-xy=10

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Q: Consider the functions. f(u) = u° + u g(x) = cos (x) Find the following function and derivatives.…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 4 Jamar- Suppose f(x)dx = 6, f(x)dx = -2, and g(x)dx 7. Evaluate the following integrals. 9g(x)dx =…

A: Solve it

Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

Q: Evaluate y dx+3xy dy, where C is the boundary of the semiannual region D in the upper half-plane…

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Q: 1-50 of 1,223 Systems 5:51 PM 11. Consider the matrix (PDT) (thoke@pdx.edu) - Y.. 4:43 PM 1 -…

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Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

Q: Consider the function f(t) = 3 and real number a = - 4. y= fn a. Find and graph the area function…

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Q: | (6+xvF)dx

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Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" 6n + 1 n = 1

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Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ction is the linear model f(x)=−0.93x+158000 where x=annual tuition, and f(x)=average mid-career…

A: Given query is to find the slope and average salary for the given tution fee.

Q: Find the indefinite integral. Hint: Let u = 5 - Vx. (Remember the constant of integration. Remember…

A: Explanation of the answer is as follows

Q: the area under the graph of the function over the interval given. 25) y = 2x +7; [1, 5] A) 18 B) 52…

A: Given query is to find the area under the graph.

Q: question

A: We will solve the second problem.