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Q: What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)? y…

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Q: Given that answer = [*f(x) dx = 45 13 > [². what is f(v)dv?

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Q: What makes solving inequalities different from solving an equation with an equal sign? For an…

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Q: Given f''(x) = Find ƒ(5) = 16 sin(4x) and f'(0) -5 and f(0) = 4.

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Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

Q: Viola makes gift baskets for Valentine's Day. She has 12 baskets left over from last year, and she…

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Q: X √x dx 5-х

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Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

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Q: PRACTICE ANOTHER The graph shows the depth of water W in a reservoir over a one-year period as a…

A: Topic- Average rate of change of function over interval

Q: Define the force field F(x, y, z) = (xy, —-yz, xz). Find the divergence and curl of F. Let C be the…

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Evaluate sin³ x cos²x dx.

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Q: Below is the graph of y = x² +5. 401 D 30- 20 10- -3 -2 -1 0 1 2 3 4 5 6 The area bounded by y = x²…

A: the area bounded by the curve y=x^2 +5 and the x axis from x=2 to x=5

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. 3 + 6x3/2 f(x, y) R:…

A: In this question, we need to find the area of the surface.

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

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Q: 1. Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The centroid of R is: a.…

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Q: Find the area of the region enclosed by y = 6x² and y = x² + 1. Round your answer to three decima…

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Q: 3. Find the domain of f(x) = 1- 1 X X

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Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

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Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: Find the absolute maximum and the absolute minimum for the function f(x)=e−x−e−5x,…

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Q: ) Use the Product Rule or Quotient Rule to find the derivative of f(x) Do not simplify. O f'(x) = O…

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Q: III. Consider the power series +∞ n(3x + 2)n n³ +4 n=1 -1. 1. Show that the series is absolutely…

A: Given power series is ∑n=1∞n(3x+2)nn3+4 When x=1, the series becomes…

Q: it is planned to construct a right circular cylindrical steam boiler. the available budget for the…

A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…

Q: dy+y=x²y² X-

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Q: Given f(x)=√x + 2 and g(x)= x³, find ()(x) and write the domain of (x) in in interval notation.

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Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: 1 S. cot ³ x dx

A: I have stated the used formulas in the solution

Q: I. Find the solution set of the following. 2. 3x² + 2x³ — 7x² - 4x + 2 = 0

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Q: Use the graph of y = f(x) for problems 7 and 8. 1010 lim f(x) = 1; HI-4+ lim f(x) = 1; 41144 Use the…

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Q2:A: Find the surface area of the cone y = h -√x² + z² where h is the height of the cone and a is…

A: Concept: The surface area of the cone: The total area that a cone's two surfaces, its circular base…

Q: The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0,7). One…

A: Given hyperbola, Centre (h,k)= (0,7) Vertex = (0,4) Foci = (0,2)

Q: S= dx 3+ sinx+cos X

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Q: After an appropriate trigonometric substitution, the integral integrals? O sine. 24 (1-x²)³/2 da can…

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Q: Set up the triple integral in spherical coordinates that solves the volume of the solid bounded…

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Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

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Q: Use mathematical induction to prove that the statement for all positive integers. + (2n-1) = n² a)…

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹2) = 5 1. sin¹…

A: We can find the answer in the following steps.

Q: Evaluate the following indefinite integral Show work: √ (3x² - 4x + F(x) = 1x + 5)² (3x − 2) dr. B

A: To evaluate the integral

Q: Let y(x)=−3/x^2. Find y′(−3). Enter the exact value, i.e., no decimals

A: given  y(x)=-3x2=-3x-2

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

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