Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use C for the constant of integration.) x3 + x11 ܘ ] dx

Q: Evaluate. b 1 S½x³dx 2 a

A: We can solve this as follows:

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Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

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A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

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A: The given function fx=x3. We have to find the first five coefficients of Taylor series for fx…

Q: In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.4…

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Q: 4) The population of a city doubled in 30 years. What is the exponential growth rate?

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Q: Question Using Desmos, plot the point -1, 5TT 3 in the polar plane.

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Q: Substition Simple Ing (x + Iny) dx = (x²) dy-0 III Solve using

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 12 If IF (¹², f(x) dx = 15, then compute the value of the following definite integral. 4 [*F f(3x) +…

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Q: an || 2 2n+1

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Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

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Q: Find the arclength of the curve x with 2 ≤ t ≤9. 1 3 Y - 2

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Q: Find the points on the curve x = t² − 8t + 5, y = t² + 14t + 1 that have: A. a horizontal tangent…

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Q: 1. A = 42°, B = 23°, and c = 15.

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: 1) Consider the functions ƒ(a) = 100 – 2¹ª and F(x) = f(t 1² f(t) dt. i. Write a simplified form of…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 8 Σ…

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Q: Find a vector equation for the line through the point (4, 5, -1) perpendicular to the vectors , 6,…

A: we have to find the line equation passing through point (4,5,-1) and perpendicular to the vectors…

Q: The D.E. of the cubics cy² = x²(x − a) with “a” held fixed is a. y(3x - 2a) = 2x (x -a)y' (a). c.…

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Q: 8. Represent 1/7 with Egyptian symbols 9. Write as a sum of unit fractions: 3/8

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Q: 5. Find the volume generated revolving about the x-axis of the area bounded by the curve y = x³ and…

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

Q: Question Determine a definite integral that represents the area of the region enclosed by one petal…

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. x 2…

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: The given curve is: x2=cy2

Q: Consider the power series (52 — 2)n n² Find the radius of convergence R. If it is infinite, type…

A: Series

Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

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Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

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Q: Let F(x)= = =[ −7 cos(t²) dt. Use the Fundamental Theorem of Calculus to find F'(x). F'(x) =

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Q: Question <++++ -10 -8 -6 -4 -2 Select the correct answer below: Ox(t) = -2t, y(t) = et + 3 Ox(t) =…

A: To determine the sets of parametric equations that define the given curve.

Q: Evaluate [**f(x) dx, where T [*ª* f(x) dx = f(x) = (2x³, -π<x<0 [7sin(x), 0≤x≤ π.

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Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

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Q: For f(x,y) = Inx+y³, find f (e5,9). 1(e5.9) -

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Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral of the following tabular data with the trapezoidal rule by-hand. X 0 2 F(X)…

A: To evaluate the value of integral.

Q: Use the divergence theorem to find the total flux out of the solid x² + y² ≤ 4, 0≤z≤1, given that…

A: use divergence theorem and cylindrical coordinates for finding flux.

Q: Find the arclength of the curve x = 20t 8, y = 21t + 4 with 2 ≤ t ≤ 9.

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Q: et = 8 M8 n=0 en n!

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Q: O Use the MVT for integrals to show that there is point c in the interval (0,4) such that sec² (c) =…

A: MVT Theorem: Let f(x) is continuous on [a,b] and f is differentiable on (a,b). Moreover f(a)= f(b)…

Q: 3. Evaluate the following integrals. (a) * (2 – 2x) dx = (b) f › [* sin(x) dx = (c) ſ'* e* dx =

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Q: answer

A: We have to write the definite integral  such that represent the area according to the given…

Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Determine the area of the triangle with the following vertices: (-3, 7, -1), (-10, -2, -1) and (5,…

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