The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx using three equal subintervals and left endpoints 0 2 4 16 f(x) 9.97.94.2-10.1 X O22 37.2 O 44 23.8

Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: There is at least one polynomial function which satisfies the conditions below. F(8)= 56; F'(x) is…

A: we have and F'(x) is non zerofind F(x)?

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: 1 x + 1 rectangles and right endpoints as sample points. Rn 0.6345 Estimate the area under the graph…

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Q: Calculus 1

A: z=2x2+xyx=cost, y=2sint

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Given

Q: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2   a/…

A: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2

Q: Find the slope of the tangent to the curve - cosx- sinxat x-. -2 7/2 1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each…

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Q: Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the…

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 I = 600 x…

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Q: implicit differentation to find dy/dx use then dx²/da² 2y² = x² + 2x and

A: given equation To find:  and You have asking to find the

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: n -Σ„² n=0 If f(x)= = n -x" and g(x) = (-1)"- n² +1 n n² + 1 n=0 -a", find the power series of + 1/…

A: f(x)=∑n=0∞nn2+1xn and g(x)=∑n=0∞(−1)nnn2+1xn,

Q: Write an integral in the form A = the area of the region. Answers should be exact. As a suggestion,…

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Q: tan x dx

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Q: Asnwer When calculing the Laplace transform of the function f(t)=tcos(4t) is obtained as a result A-…

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Q: PLEASE PLEASE HELP, The x y-coordinate plane is given. The curve starts at the point (1, 7), goes…

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Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.54x +9.63,…

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: Let f(x) = f sin t² dt. Find f'(x) x² 2x 2x sin(x4) - 2 sin(4x²) sin(x4) — sin(4x²) 2x cos(x) - 2…

A: Let .To find .

Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

Q: Given the values of the derivative f '(x) in the table and that f(0) = 195, estimate the values…

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Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

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Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: The given function is The linear approximation at  is The quadratic approximation at  is

Q: use € Calcus implicit different to find sy ldx Q32 y cos (ty) = 2x + 2y

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Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

A: Given: To find: evaluate the integral.

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9)…

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Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: While on Casey's computer, you notice that a model for a recent experiment is completed. The model…

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Q: 10 d dz. J sin z 4 + 1

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Q: The function f(x) = x³ + 5 is

A: f(x)=x3+5

Q: Solve the following integration :- 6 dx | (X-4)(+7)

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Q: -ind the curvature of r` (t) = ti + t²j + t³ k at different valu oft. Which formula would you use to…

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Q: f(x)= [5x+3] e-2x

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Q: F₁ = (e + sin(y), xe" - 2y)

A: We have to check whether the given vector field is conservative.

Q: 2. ₁²√xydydx = ²√xdx √ydy

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Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: Tutorial Exercise Consider the given function. f(x) = c² +8 Evaluate the Riemann sum for 0 ≤ x ≤ 2,…

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Q: 4 Find all critical numbers of fa)=x² (x-23

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: 6. (a) The curve y = x², 0≤ x ≤ 1, is rotated about the y-axis. Find the area of the resulting…

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Q: Question 2 Suppose an > 0 for n≥1 and lim Wan < 1 n→∞0 What can you conclude regarding 1 an? The…

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Q: Use the Ratio Test to determine whether onvergent conditionally, or divergent. n=1 (−77)” n! is…

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Q: Use a graph of f (x) = 2 sin (x²) to determine where an antiderivative, F, of this function reaches…

A: Given that F is antiderivative funtion of function