If f(x)= cos(sinx), find f'(1). 0.2314 1 0 -0.4029

Q: 5. Consider the volume of the two solids lying between the spheres x² + y² + z² = 4 and x² + y² + z²…

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Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for f (x) = √√x + 4 on the…

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Q: Solve the rational equation below, please upload a picture of your work. 243 +2³6 - 27 2-32-18

A: To solve the following rational equation.

Q: A swimming pool has a depth of 5 ft at the shallow end and 10 ft at the deep end. The bottom of the…

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Q: Use Newtons Method to find the third approximation -x3, for the root of f(x)= x^3-x^2-1=0 Hint is…

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Q: person is given an injection of 300 milligrams of penicillin at time t = 0. Let f(t) be the amount…

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Q: Find the eigenvalues and corresponding eigenvectors of the matrix. 76 45 Eigenvalue 1 = Its…

A: Consider the matrix

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Part III.  A tank contains 400 liters of water. A solution with a salt concentration of 0.4 kg/L is…

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Q: The volume of a right Circular Cone of radius r. and height his given by V=1 arth. Suppose that…

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Q: A 4.6 ft tall man is walking away from a 28 ft tall lamp post. If he is walking at a rate of 4 ft/s,…

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: For which positive integers k is the following series convergent? (Enter your answer as an…

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Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: 2 X Estimate the error if P₂(x) = 1 - is used to estimate the value of cos x at x = 0.2. 2 |Error <…

A: To estimate the error in the given function.

Q: Let H (2) places. = Z In(z) Compute H'(2.2). Round your answer to 2 decimal

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. XCOS TX

A: f(x)=xcos⁡πx

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

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Q: Find the Maclaurin series for the given function. 14e x What is the Maclaurin series of f(x) =…

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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: Express the limit as an integral. 4 lim (7(x)² - 2(x, ) ³) 4x over [0, 4] n→ ∞o Σ i = 1 dx

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Q: Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl…

A: given vector field

Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: Find the Maclaurin series for the given function. 3e-x

A: A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: 3+x 4. (a) Find a power series representation for the function f(x) = is the radius of convergence?…

A: The given function is

Q: = Find the area under the curve y 2x over the interval [0, 5]

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dxThen find dy/dx at t=pi

Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: Use power series operations to find the Taylor series at x =0 for the following function. 9 (1-x)²

A: f(x)=1(1−x)2

Q: A forest fire covers 2015 acres at time t = 0. The fire is growing at a rate of 8√t acres per hour,…

A: The fire is growing at a rate of 8t acres per hour, where t is in hours.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: The closed interval [a,b] is partitioned into n equal subintervals, each of width Ax, by the O…

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Q: Using the figure below, estimate 9 30 3 30 60 ["f(x) dx 15 ef 6 f(x) dx = i 12 f (x) dx. 15 Enter…

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Q: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

A: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

Q: Find the Taylor polynomials of order 0, 1, 2, and 3 generated by f at a. f(x)=√x, a = 100

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the value of k that makes the antidifferentation formula true k s 5+4 3 - dx 5 +4 = +C

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Q: Evaluate the following. √6 / (x - 5y + 2) ds S S: z = 11 - 6x + 8y, 0 ≤ x ≤ 5,0 ≤ y ≤ 1

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis ans its other…

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Q: 10. f(x) = e² 12. h(m): 2 化 Vm

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Q: Tutorial Exercise Test the series for convergence or divergence. 6 6 6 6 6 + + 79 11 13 15 Step 1…

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Q: View Policies Current Attempt in Progress Find the area enclosed by y = 5x and y = x². Round your…

A: This is question of calculusHere we have to find area using integration Further calculation is given…

Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: Given that A rectangle ABCD is contained in the unit circle (circle centered at the origin with…

Q: Evaluate the trigonometric integral, using a Pythagorean identity. 3 fm (sec (sec²(0) - 7π/6 6√³…

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Q: Find the equation of the orthogonal of the set of the curves and solve the differential equation:…

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Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: Evaluate So Sy/2e dxdy by changing the order of integration.

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Q: Solve the rational equation. YOU MUST SHOW ALL OF YOUR WORK!

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Q: (a) Sketch the region enclosed by the parabolas y = 1² - 16 and y-16-r², then find its area.

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=