Find the integrals of the following function. 1. Se3xdx 2. S(e3x + 1)?dx

Q: Question The statement below is of the form f(x) dx = F(x) + C. %3D Verify whether the following…

A: Note that: ∫(20x3-5cos(x))dx=20∫x3dx-5∫cos(x) dx=20x44-5sin(x)+C=5x4-5sin(x)+C

Q: 30. For a certain continuous function f, the right Riemann sum approximation of f(x) dx with n…

A: The right Riemann sum approximations of ∫02f(x)dx with n subintervals of equal length is…

Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

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Q: 00 Let f(t) be a function on [0, 0). The Laplace transform of f is the function F defined by the…

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y]…

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Q: c. lim (4x -V16x² +3x - 5 X00

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: Test the series for convergence or divergence. Justify your answer! E(-1)*. 5Inn *-2

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Q: (a) Find the MacLaurin polynomial of degree 9 for the function h(x) = ln(1 + x3). (b) Use you answer…

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Q: Find the limit algebraically by factoring the expression first. lim X-6 -8x2-56x-48 x + 6

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. -2 *-0…

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Q: Find (3a+6x*) da

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Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: Calculate the first four terms of the following sequence, starting with n = 1. 2 Cn = 2 + 2 2 + %3D…

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Q: Find the values of a, b, c, and d in the matrix equation below. [:] 10 -5 -8 -1 b. + 2 -8 -10 7 a =…

A: We will find the value of a,b,c and d of the given matrix in the following step.

Q: (-1)" Given: In(1 + x) = if x < 1. n + 1 n=0 (-1)" (n +2) Σ 4. Compute the exact value of 2n+1(n +…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x y+z=2…

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Q: Determine whether the series is convergent or divergent. If it is convergent, write its sum. Justify…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

A: L{cosnt cosnt} =? (n=/m) We know that  Cosnt cosnt =[cos(n-m)t+cos(n+m)t]/2 Taking Laplace…

Q: Find the eccentricity of the conic section. The point shown on the x-axis, (- V3,0), is the focus.…

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Q: d the equation for the line that is parallel to the line with the equation -x + 2y = -9 passing…

A: Two parallel lines have the same slope.

Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4

Q: Find f'(-2) for f(x) x² +1

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Q: The angle of elongation between Venus and the Sun is 26". Given that Venus is 67.2 million miles…

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Q: Evaluate the definite integral (18z 4x +3) da 4

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Q: dy Find for y = x17 dx А. 1716 В. 216 С. 16х16

A: A detailed solution is given below

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence,i) an=6-(0.9)n ii) an=n36n3+1

Q: Find the derivative f'(-1) for f(t) = 5t3 + 2t? – 1

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

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: Solve the following differential equation: y′′−3y′−10y=0; y=1,y′=10 at x=0

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Q: %3D 4 4

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Q: 10 dr is The value of J5

A: The given integral,            ∫5101x2dx

Q: 5- sin n est the series for convergence or divergence. En=1

A: Given query is to find series converges or diverges.

Q: A motorcycle covers a distance of 48 km per litre of petrol consump- tion. The cost of petrol is…

A: According to given, Let us take 3 variables, m for milage= 48 c for cost of petrol per liter= 20.30…

Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

Q: (a) Determine the height h of the tooth (i.e., the maximum value of y(x)). (b) Determine the…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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Q: 2r Find the absolute maximum and absolute minimum of the function f(x) = 2x 3 over the interval [0,…

A: Absolute Maximum and Absolute Minimum in a closed interval: step 1 : Find the critical point of the…

Q: Determine the following functions as homegenous or not, if homenenous state the degree. 1. √x-y…

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Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: Txーt e lim 4x² 4,2 +4x

A: Consider the limit  limx→0 e2x-14x2+4x

Q: x 6. Copy each graph of (x) and g(x). Then, apply the superposition principle to graph f(x) + g(x).…

A: Graph of the functions f(x) and g(x) are given, we have to graph f(x)+g(x)

Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

A: Let's find.

Q: Consider the series (-1)n*(3n2+n+5)/(4n3+2) = 5/2 - 3/2 + 19/32 - 7/22

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: Find u · v, u· u, ||v||², (u · v)v, and u (3v). u = (2, 10), v = (-3, 2) %3D (a) U V (b) U U (c)…

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Q: A particle moves in a straight line with the velocity v(t) = 36 – 24t + 3t? (in meters per second).…

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Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 6ti – 8tj, t = 1…

A: The formula for the curvature is κ(t) = r't×r''tr't3