Questions #8 to #12 pertain to the accompanying Venn diagram. 8. If n(AUB) = 40, what is the value of n(AB)? a) 7 b) 9 c) 31 d) 40 9. If n(S) = 48, what is the value of n'(AUB)? a) 8 b) 31 c) -40 d) 9 S A 12 19 B

Q: Compute the following integrals. a) ¹₂x²-1]dx

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A: z = (x − y)7,(x = s2t, y = st2)find ∂z/∂s and ∂z/∂t.

Q: According to the properties of logarithms log(8) = 3log(2) O True False

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Q: 7) Find the Taylor series generated by fat x = 1 f(x) = 2x³ + x² + 3x - 8 8) Find the Taylor series…

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Q: 5. Determine if the given function f(x)=x²-1 if x ≥ 1 (x+1 if x < 1 is continuous at x = 2?

A: According to the bartleby guidelines we supposed to do the first one of multiple questions kindly…

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Q: 3a) Determine whether or not the function below is differentiable at 0 by using the definition of…

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: 1. d) e) Indicate if each statement Is True or False. Write the word True or False not T or F.…

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Q: Consider the curve y = x² + 7x + 3. (a) Find the slope of the secant line to the curve through the…

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A: given

Q: Differentiate. Why y = x2 + 2x - 2 x2 - 2x + 2

A: To differentiate the following function.

Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: A region bounded by f(x) = Væ + What is the volume of the solid formed by revolving the region about…

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Q: Find -зе ху Ә ?х

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Q: X Find the derivative of y = x • xx−1 X. x ln(x) x* (ln(x) + 1) In(x) + 1

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: 9. Evaluate f (2x − y)dA; D is bounded by the circle with center the origin and radius 2.

A: We have to evaluate  where D is bounded by the circle with center the origin and radius 2.

Q: Instruction: MAT 143: Algebra and Trigonometry ✓Answer Must be Handwritten ✓ Question No: 2 question…

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Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: Given the graph of f(x) below, what is the open interval(s) over which f'(x) is negative? 5 V AWNA -…

A: We know that,A function f(x) decreases where f'(x)&lt;0 .

Q: Which of the following describes the first order differential equation? dy dx = = 3y2 + sin(8x) y +…

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Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .

Q: What is the period of the trigonometric equation? f(x) = -11 sin(x + ) − 4 Enter your answer, as a…

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Q: Solve the differential equation with the given initial condition. dy sin x dx y+2' y = with y(0) = 3

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Q: For the following system to be consistent, 3x-6y + 7z + kz - 3z 13x- Oy -2x-9y we must have, k ‡ = -…

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: g(x) = 4x3 - 4x + ) = (4x³. 18/5 x2 4

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Q: Write the following expression 2ln(8) + 5ln(z) as a single logarithm. O O In (825) Om (87) O…

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: Consider A ABC, where a = 8, c = 11, and m/C = 33°. What are the measures of the missing angles and…

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Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

A: Given

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Q: The statement u = w translates into which of the logarithmic forms below:

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k f(x) = 2x² + 7x - 22 x≤2…

A: given function is

Q: For the function f(x,y,z)= In (3x +2y +9z), find fx, fy, and f₂.

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Q: The value of g 28 is -2.269. True False

A: The expression given is,

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A: We can find the critical point of the function .

Q: Find the first partial derivatives of the following function. s+ 3t s-t f(s,t)=-

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Q: Given f(x, y) = -5x¹ − 3xy² + 4yº, find fz(x, y) = fy(x, y) -

A: We have .Now, we need to find f_x(x, y) and f_y(x, y).

Q: Consider the graph of the function g(x) given belo g(x) -2 -4- 2 0 -2 2 -N X 4

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