f(x) = z²+kz–2| 3x²+4+3 x³ + 2 0 2² for x < -2 9 9 for PRE 2 < x < 0 for x = 0 for > 0 z

Q: 6. Use integration to answer parts (a) and (b) below. (a) If f is continuous and f(x) dx = 10, find…

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Q: Find the composite functions (fog) and (gof). What is the domain of each composite function?…

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Q: A(0,1), B(1,4), C(4,3) and D(3,0) are vertices of a quadrilateral ABCD. (a)Find the equations of the…

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Q: The graph below is the function f(x) O Q -5 -4 -3 -2 -1 x→-2+ 5+ 4 3 2 x -1 -2 -3 -4 Determine the…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Solve the following log functions to find the value of y:

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Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: Problem 10. Sketch the graph of the following function and find lim g(x). z 3 What is g(3)? Does…

A: Given graph of g(x)

Q: Consider the following. (b) (c) f(x) = 6, (2x + 19, Find each limit. (If the limit is infinite,…

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Q: #2) Evaluate the indefinite integral below. Just the answer from you calculator does not count, show…

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Q: A population of squirrels lives in a forest with a carrying capacity of 1900. Assume logistic growth…

A: NOTE: Refresh your page if you can't see any equations..the logistic model is given byhere carrying…

Q: 6: Prove by contradiction that for any positive integer x, x+ 49 x ≥ 14.

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Average velocity = Where s(t) is the position function.

Q: Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: In a right-angled triangle, the 2 sides adjacent to the right angle are 4.5cm and 8.5cm. What is the…

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Q: The graph of f(x) is given below. Which of the conditions for continuity are true for f(x)? Select…

A: The graph of  is given below.To determine the conditions for continuity that are true for .

Q: B. A circle is tangent to the line 2x -y + 1 = 0 at the point P(2, 5), and the center is on the line…

A: The figure

Q: answer C and D of the same question. thanks

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

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Q: Determine whether the improper integral converges, and, if so, evaluate it. ∞ x -3 dx

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Q: The following integral can be evaluated by using substitution: a) b) Identify the inside function.…

A: The given integral

Q: Answer the following True or False: Since lim then 1 8n + 2√√√n O True O False 1 n+∞ 8n+2√√n…

A: given limit

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find by implicit differentiation. dy dx dy dx = √xy = xy + 29 12x6y²-√√xyy x(√xy - 2xy) x

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Sketch the graph of the function shown below. From the graph, find its domain and range. f(x) = xif…

A: The graph is shown below:

Q: #3) Evaluate the definite integral below (Remember, like for all the other problems, show all your…

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Q: Consider the following. f(x, y) = 4x - 3y (a) Find f(2, 7) and f(2.1, 7.05) and calculate Az. f(2,7)…

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Q: Find the final amount of money in an account if $3, 500 is deposited at 2.5 % interest compounded…

A: The principal amount, The rate of interest, Number of times the interest is compounded in a year,…

Q: Find the area of the shaded region. -4 y = x² (-2, 4) -2 8 6 4 2 (1, 6) 3y=2x+16 2 (2,4) y=8-2x 4 X

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: Use the given graph of the function ff to find the following limits. If a limit does not exist, type…

A: We have to find the limits using the given graph of the function.

Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if it diverges…

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Q: (a) Express the area of a circle, A, as a function of its circumference, c. A(c) = (b) Express the…

A: (a) To express the area of a circle, A, as a function of its circumference, c.(b) To express the…

Q: 23. *1/2 cos ¹x dx

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 x-2 a = 3 b = f(x)= ax² - bx +…

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Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: this answer is incorrect , please check

A: The answer given is correct.  Let us solve the final answer further.

Q: Consider the function yx { x² + x² 0 f(x, y) = = if (x, y) = (0,0) Compute the partial derivatives…

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Q: x-9 +²+3x-10 }} A Y + B X-2 x-q (*+5)(x-2) X-9 = A (x-2) + B (x+5) AX-2 A+B x + S B (A + B) x +…

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Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: 12. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n!…

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Q: To test the series series, so we could investigate convergence using other methods.) if the Find the…

A: The given series .The aim is to check the convergence of the series using the integral test.

Q: 13. Expand the following binomial functions by using given formula. n! finding kth term of (a+b)"…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 2 [(x) = √x' [1,4]

A: 1) f(x)=2/sqrt(x), [1,4]2) f(x)=(2+x2)/sqrt(x), [1,2]

Q: the answer is incorrect please check

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Q: Select all that apply: ☐ f(x) is defined at x = −3. Olim f(x) exists. x-3 ☐_lim f(x) = f(−3). x→-3…

A: To determine the correct choices.

Q: Exercise 1.18. Find the equation of the plane in R passing through the three points P₁ = (1, 2, -1),…

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Q: Sunset Lake is stocked with 1500 rainbow trout and after 1 year the population has grown to 3850.…

A: Sunset Lake is stocked with 1500 rainbow trout and after 1 year the population has grown to 3850.