QUESTION 2 Assume that f is continuous and that f(x)dx=-2. Evaluate f²x2f(x² + 1)dx. 00

Q: 24

A: Kindly see attached photo for your guidance.

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A: This is the sketch of the slope fields for the given differential equation:

Q: T How find x? -2.5+54.33+1 -2.5+j4.33+x = 30 X 3.333

A: Step 1:Step 2:

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A: Step 1: Step 2: Step 3: Step 4:

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS PLS

A: Question 12.That's not entirely accurate. If f′(x) = 0 at a point x = c, it means that the slope of…

Q: Help step and process please

A: Step 1:​f(x)=(13+x)9x​​Step 2:​Using the known power series:1+x1​=n=0∑∞​(−1)nxnReplace x with…

Q: Q4: Solve the following first-order differential equation x ceydy + dx = 0 y

A: Step 1: seprate x and y then integrate Step 2: Step 3: Step 4:

Q: Find an equation for the collection of points for which the distance to (15, 0) is twice the…

A: Let the locus point of the distance is (x, y). According to the question, a distance of (15,0) to…

Q: K Evaluate the following sums. 8 (2) Σ 4 k=1 500 261 (b) Σ 8 (c) Σ 10 k=4 k=1 8 (a) 4= (Type an…

A: This is a summation, denoted by the Greek letter sigma ∑, which indicates that we are adding up a…

Q: Math Exercice 6 30 min 6 pt On considère la fonction f définie sur IR par f (x) = x ex- ex-8. On…

A: Solution1) a. lim_{x→-∞} f(x) = lim_{x→-∞} x e^{x-e^x-8}As x→-∞, e^x → 0 and e^{-8} is a constant.…

Q: R2 2 xy² x² + 1 dA, R = [0,2] x [-4,4] R= Find R

A: Step 1:Step 2: Step 3: Step 4:

Q: Select the general solution to x- I. 21nly + 3y In|x| + C II. 12+3y In |= In|x|+C 01 O ll O Both ○…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the…

A: **Reach out if you have any questions.Please rate this answer if you find it helpfulThank you.

Q: Please simplify the series for the 3 regions

A: To find the Laurent series expansion of the function we first need to factor the denominator z2 − 2z…

Q: Can you explain step by step

A: Step 1:If you need it in ln (i.e loge) instead of log ,write everywhere (ln) instead of logStep 2:…

Q: Graph the integrand, and use area to evaluate the definite integral The value of the definite…

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Q: What lump sum investment will grow to $58,000 in 5 years if it is invested at 12%, compounded…

A: Step 1:We have to calculate the present value to get the amount of lump sum investment. The formula…

Q: Solve the equation. 22) log3 x + log3(x-24) = = 4

A: To solve the equation log3​x + log3​(x−24) = 4, we can use the properties of logarithms. First,…

Q: Consider 23 (x, y, z) = 10xyz - 4x²y³ v(x, y, z) = 4xy² + 3y sin(2) Ğ(x, y, z) = Gx(x, y, z)i +…

A: Step 1: Step 2: Step 3:

Q: 13

A: Step 1: let f(x)=ax2+bx+c Step 2: passing through (-5, -2) f(-5)=25a-5b+c  =-2    ....(1) Step 3:…

Q: 10) The depth of water in a harbor varies with the tides. The depth is measured at the same location…

A: A.B.For this graph the code used is-import numpy as npimport matplotlib.pyplot as plt# Define the…

Q: 12:06 ■I 5G Show that the equation x²-4x+c=0 has at most two real roots.

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Q: SunDose cac à mortar is fired from ground level at an angle of 45° with an initials need of 200…

A: Step 1: Step 2: Step 3:don't forget to upvote :) thank you and comment if doubt exists Step 4:

Q: 2) Suppose that two people standing 2 mi (10,560 ft) apart at points A and B hear a car backfire.…

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Q: Find the slope of the tangent to the curve y2 = 3x2 +4 through point (-2, 4)

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Q: The average classroom teacher's salary is given by f(x) = 975.06x + 32,906.42, where x is the number…

A: Step 1:Step 2:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS PLS

A: Note #1:The function is concave down at those intervals where:f′′(x)<0The function is concave up…

Q: Consider F(x, y, z) = x²zi+5yzj- zk. Calculate V.FdV for the cylinder x² + y² = 4, 0 ≤ z < 5.

A: Step 1: Given: F=x2zi^+5yzj^​−zk^▽.F=(i^∂x∂​+j^​∂y∂​+k^∂z∂​).(x2zi^+5yzj^​−zk^)=(2xz+5z−1)Step…

Q: Consider F and C below. F(x, y, z) = (2xz + y²)i + 2xy j + (x² + 6z²)k C: x = t2, y = t + 1, z = -…

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Q: Please solve

A: . Let's delve into it: Part (A): Finding the exact cost of producing the 71st food processor: 1.…

Q: 1. (cos5 2x sin5 2x) dx 2. (tan5 4x tan² 2x sec2x)dx 3. (sin 5x cos 5x)dx

A: Step 1:1. I=∫(cos5(2x)sin5(2x))dxLet v=2x. Then dv=2dx, so 21​dv=2dx.Rewrite using u1 and…

Q: use first and second derivative test, along with concavity

A: Step 1: Make a table for values of F(x) in terms of x. Use the given equation. Step 2: Graph the…

Q: Given that x 1-7 1-7x5° ∞ n=0 1 1 x n=0 x with convergence in (-1, 1), find the power series for The…

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Q: A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 3cos(t) for…

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Q: Example/find the taylor series for f(x)=cos x at x=2π.

A: Page 1 Page 2

Q: The supply function for a certain size boat is given by p = 460(29) boats, where p dollars is the…

A: Step 1: Step 2:Another method:

Q: Given that 1 - x M8 n=0 n X 6n+ 1 = 1 x with convergence in (-1, 1), find a power series for 6 x n=0…

A: We note that: 6−x1​=6(1−6x​)1​. So, 1−6x​1​=∑n=0∞​6nxn​, hence,…

Q: Question 11 > Write an equation (any form) for the quadratic graphed below 5 4 3 2 1 -5-4-3-2 -1 2 3…

A: Here's the task:- Write an equation (in any form) for the quadratic graphed below. Now, what should…

Q: Find the Maclaurin series of Σ n=0 sin(x) x8

A: Step 1:

Q: find the average value over the given interval f(x) = // [4, 25] of the function

A: Formula used is: ∫xndx=n+1xn+1​Thank you

Q: 12t At the end of t years, the future value of an investment of $10,000 in an account that pays 9%…

A: Given data : Final amount (S) = $ 30000 Rate of interest (r) = 9 % = 0.09 Initial amount (P) = $…

Q: QUESTION 7 Show that the following series converges conditionally. (-1)" =1 n+1

A: Step 1: Step 2: Step 3: Step 4:

Q: please i need help solving this thank you

A: 1. Rationalize the denominator by multiplying the numerator and denominator by the conjugate of the…

Q: Suppose that f(x, y): and the region D is given by {(x, y) | 1 < x < 3,3 < y < 6}. y D a Then the…

A: The objective of the question is to understand the concept of double integration over a given region…

Q: Find the graph given the following table. x f'(x) a b C does not exist 0 -8 Choose the correct graph…

A: Based on the given table, at x = a, the function's derivative does not exist. A function is not…

Q: QUESTION 8 (7 points) Let f(x)=2x³-3x²-12x-6 a. (3 pts) Find all points on the graph of f at which…

A: Step 1:Step 2: Step 3: Step 4: