tan (x) = sin(x)

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and for the…

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Q: The average value of v(x) equals 2 for 1 ≤ x ≤ 3, and equals 6 for 3 ≤ x ≤ 11. Find 11 ["v v(x)dx 72…

A: The average value of  equals 2 for , and equals 6 for .To find .

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (0, 6) for…

A: Maxima and minima

Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: Use ratio test of ∞ to n²+6 E n=28 6" test convergence a) Find ratio of successive terms. fully…

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Q: 17. The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the…

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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: Solve the following integration :- S. X-3 2 X²³² x ² −X +1 dx

A: To solve the following integration.

Q: 9. A certain wild waterfowl that is hunted for food each year is being tracked for growth in order…

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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

Q: sin (2x) = 4 cos(x)

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Q: Given that /1 3 - 3م = ex dx + (ی - آe)3 - e, use this result to evaluate 3 3ex + 4 dx.

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Q: Find the slope of the tangent line to the parametric curve 3 cos (t) (y = 2 sin(t) X = at the point…

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Q: Select the answer which lists the sizes of the following matrices in order. 2 3 654 12 2 [1 2 3 4 5]…

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Q: f(t) = 1-2t 1 + 2t

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Q: Find all critical points of the function f(x) = 2x³ - 14x² + 11x on the interval [0,7). (Use…

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Q: cos(x) dx 2) Calculate the integral sinc √sin(x)

A: To calculate the following integral.

Q: TT/8 cos 2x dx

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Q: Consider the region bounded by the graphs of x = 0, y = cos(x²), y = sin(x²), and x =

A: Region is bounded by x=0,y=cos⁡(x2),y=sin⁡(x2), and x=π2Rotating the region about y-axis.

Q: Evaluate /² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

A: Row echelon formA matrix is said to be in row echelon form ifi) All rows have zero at the bottom ii)…

Q: Consider the following function and given interval. f(x) = 2√x, [4, 9] Is f(x) continuous on the…

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Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

A: The Taylor series:Where centered at .

Q: Using the graph below, sketch the graph of the function y = - f(x). -6 6 6

A: We have given the graph of f(x).The graph of the function y=-f(x) is the mirror image of the graph…

Q: use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Question 4.21) Evaluate the following limits. sin² (1)-1 1-4 A) lim 2/2+1 B) lim x-0 Question 4.22)…

A: a) limx-infinity x[arc(tanx)-pi/2]According to Bartleby guidelines we solve only one question repost…

Q: 9. Determine whether the following two lines are parallel, skew, or intersect. If they intersect,…

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: we are given the marginal cost function and we need to find out the total cost of producing 680…

Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

Q: -2 -1 2+ 1 T 1 y=h(x) 2 True/False True or False: At every point where h'(c) is zero or does not…

A: To determine whether the following statement is true or false.At every point where  is zero or does…

Q: Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by…

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Q: -2 -1 2 1 Undefined Derivative y=h(x) 2 Identify all values of c for which h'(c) does not exist. اهد…

A: The graph is given as,

Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

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Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the polar curve

Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: A = 90°, b =6, c = 8

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: given function

Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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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: Use substitution to find the Taylor series at x = 0 of the function In (1+5x9). What is the general…

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Q: Find the general Solution of: 2² dy dx = x² x e

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Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: Given the graphs of polar equations: r = 1 and r = - 2 sin 0, (a) Set up the integral that gives 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: The graph of a function f is given. -1 I 0 1 f Consider the integral I when answering the following…

A: To find the right end sum, left end sum and midpoint sum.

Q: Find all solutions of the equation. +√√2=0 6) 2 cos x + 1

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Q: Exercise 4. Prove the following claims. (i) Let f: R² →→ R be defined as f(x, y) := { 3 xy x² + y²…

A: The condition of function in R2 must fullfill in order to be continuous isf(a, b) = lim (x, y) -&gt;…