Prove the following:  If a

Q: se the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: -5 - -3 3- अ by 3 X

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Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

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Q: 3 f(x, y) = 7x3 - 2x2y³ + 3+4

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2 Find a formula…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: If limx→af(x) exists and limx→ag(x) exists, then it is necessarily true that limx→af(x)g(x) exists.…

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Q: Replace the polar equation r=4 sec 0 with an equivalent Cartesian equation. Then identify the graph.…

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Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

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Q: what is a point on the x axis that is eqidistant from the points (-3,4) , (5,-6).

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Q: y=x 2 y

A: volume is as follow.

Q: Find an equation for the tangent line to the graph of the given function at (-3,4). 2 f(x)=x²-5 Find…

A: Given query is to fins the equation of the tangent.

Q: For a school group, a skating rink charges a flat fee of $50 for skates for the students, plus a…

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Q: Use the half-angle indentities to find the exact value. sin 112.5° O 2-√2 2 O /2+√2 2 0-1-√2 √2+√2 2

A: Given query is to find indicated function.

Q: Step 1 of 4: Find lim f(x). x-4 10 -5 10 5 ✔ -10 Enable Zoom/Pan 10 X

A: Given:

Q: If $13300 is invested at an interest rate of 10 percent per year, find the value of the investment…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

Q: 5. Graph the function f(x) = log(x + 2) + 1. Identify the domain, the range, and the equation of the…

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Q: Evaluate the line integral C: y² = 27x from (27, 27) to (0,0). NOTE: Enter the exact answer. Jo-…

A: We are asked to evaluate the integral.

Q: For the sequence an = an-1 + An-2 and a₁ = its first term is its second term is its third term is…

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Q: 13. lim f(x), where X-2 f(x) = { x+ 2 3x - 5 x≤2 x > 2

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Q: Find the range of f(x) = 23 e*+3

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Q: Write a in the form a+T+aNN without finding T and N. r(t) = (w sin t)i + (w cost)j + xtk

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Q: Question 6 Use logarithm properties to expand the expression log_(4)((x^(8)z^(5))/(y^(12)))

A: We have to use logarithm properties to expand the given expression.

Q: 5. (Antiderivatives) Evaluate the following. (a) √ √3x + 8 dx = (b) fe ) [e³* – sin(x) dx = (c) / /…

A: Given :(a) ∫3x+8dx(b) ∫e3x-sinxdxc ∫14xdx(d) ∫4+tt3dt(e) ∫132x-65dx(f) ∫π6π2cos2xdx

Q: Find the indicated partial derivative. V = In(r³ + s + t5); a³v ərasət || 4 a³v ərasət

A: A detailed solution is given below.

Q: F(x) = (2x²+1)* X 3x³

A: Given query is to find the derivative of the function.

Q: (a) Evaluate: i) sin (b) Simplify the expression sin 7T ii) cos COS 5T cos(2 sin (3x)) + 3log (182²)…

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Q: The graph below is the function y = f(x) -1 1 -1 Jr 1. Choose all x-values where f is not continuous…

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Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) interval [0, 2]. In other…

A: Givenf(x)=12x+1   We are required to find Values of c guaranteed by the Mean Value Theorem for f(x)…

Q: A private school has a cost function given by C(x) = 90 + 80√x dollars, where x is the number of…

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Q: lim f(x) = 8 x→2 then compute the exact value of lim V x + f(x) x→2

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Q: Find the cross product a x b. a = t, 8, 1 t b = (t², t², 1) Verify that it is orthogonal to both a…

A: Given: a=t, 8, 1t, b=t2, t2, 1

Q: Using the information in the table, the rate law for the reaction 2 A(g) + B(g) → C(g) + D(g) is…

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Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1150 feet apart. As the…

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

Q: Solve for y: O y = Oy = x = 4ln(y - 8). 1 4 ln(x - 8) x+8 4 O y = e-4x + 8 O y = 4 ln(x - 8) Oy =…

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Q: 3. In this question, we consider y = f(x) = = 3x - 2 4x² +1 (a) Calculate the derivative y'(x). Find…

A: A detailed solution is given below.

Q: The table below shows the position of a cyclist. Find the average velocity for each time period. t…

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Q: 7 f(x)= (4x³-7x)

A: solving the problem by finding the derivative of the function

Q: Suppose the number of subscribers, S, to a YouTube channel increases according to the function…

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Q: It costs Charlie $14 to build a certain birdhouse. He estimates that, if he charges x dollars per…

A: It costs Charlie $14 to build a certain birdhouse. He estimates that, if he charges  x dollars per…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Here is the integral .

Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated…

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Q: For the sequence An its first term is its second term is its third term is its fourth term is its…

A: Given: an=2(an-1-2) and a1=4

Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use algebraic techniques to rewrite g(x) = Answer 2x² - 8x² - 7 √x g'(x) = as a sum of three terms.…

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Q: 33-37 Find the direction cosines and direction angles of the vector. (Give the direction angles…

A: You have asked question number 37, So, I have to solve Only question No. 37.

Q: The length of a rectangle is 15 ft. Express the width W of the rectangle as a function of its…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: 104,1016,1064,10256,101024,.....formula for nth term is an=a1(r)n-1 a1 is first term r common ratio…

Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

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Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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