The function f has the property that f(3)=2andf (3) = 4. Using a linear approximation to ff near x=3 an approximation to f(2.9) is %3D

Q: Find the average value of the function on the interval. Give an exact answer. f(x) =  1/(x-7)^2…

A: For average value of f, we need to integrate in the given interval.

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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Q: 15x2 — х3 — 43х - 19 The integral J (x + 1)²(x² – 6x + 13) can be rewritten as Ах + B C D + + bx + c…

A: Given problem:-

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Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and yex

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Q: Convert the Cartesian coordinates (1, 0) to polar coordinates. (1, 0°) (1, 90°) (0, 0°)

A: The cartesian coordinate is  x, y = 1, 0 To evaluate: The polar coordinate corresponding to the…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

Q: 耳 ixn=wyr Show that d P

A: Given a function is two variables.

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Q: 12-11= Sin(z)

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Q: 2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x) B + x-5 C E dx (x +…

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Q: |sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) sin(2x) 12 8 8. + C 4 sin(6x) sin(2x),…

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

Q: d太 2.

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) y' = 10VX y…

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Q: (x² -2x9 dy Solve The firest orler oDe

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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Q: Choose point which has the correct location for the polar coordinate(-4, 180\degree). 90° WIN A 150°…

A: see below the graph and the answer

Q: A clothing manufacturer has the marginal profit function MP(x) = 40 - 0.02x, Os xs 100 (in dollars…

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: (1 – x²)dx eTextbook and Media 2) V You answered correctly! Move on to the next part to add to…

A: According to guidelines we solve only first question.

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

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Q: Find the area in the first quandrant bound by the parabola y

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Q: Find the most general antiderivative or indefinite integral. 14 5x Зх+ 2) dx -3x+ 14 5x -3x+2) dx% =

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Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Slope of a line θ=a is given by m= tan(θ)=tan(a)

Q: Using Integration By Parts ∫ 2x^2 e^(1/3)x dx find uv - ∫ v du

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Q: Activity 2. Using U Integral of the following. 1. S sec?x dx 2. S Substitution or Integration by…

A: As per bartleby guidelines we only give first question answers.

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Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Decide which of the following regions has n () in area = lim tan 2n 2n i=1 without evaluating the…

A: To decide which of the regions has the given area.

Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: x(z – 2y)100 = yz + x; Yx and x,.

A: Solution is given below:

Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: V4. 4-x? Si S dy dx using polar Evaluate 2x-x2 Coordinates.

A: Let's find.

Q: dx Vx²+2x+5

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: This question is related to double integral , we will solve it using given information.