5sin e Cose de Sin? o +3 Sine -4 2.

Q: Is 34 = m, m being any real number, possible? Explain. [1C]

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Q: find the area bounded Curve y=V+5, line X=-- 6

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Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Find i-l O 36 O 16 38

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Q: * Find the 2nd degree Taylor polynomial for the function f (x)=- 1 centered at x = -2.

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Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: ind The Area Using Integration and Make a sketch of the grap

A: Given

Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

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Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: da

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Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: can i see how you get 95.33?

A: Apologies for the inconvenience.   The given function is:  fx=3lnx5fx=3×5lnxfx=15lnx   Given that…

Q: what

A: Please refer to the image below

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F| = 350N 10…

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Q: 5. (4x3 — 6ху?) dx + (4y3 — 6ху) dy 3D 0

A:

Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

A:

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

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Q: Is the area under the curve y (Inx)/x from X-1 to X=x finite? If so, what is it?

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Q: cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given query is to find the rate of change of distance between the cars.

Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n =…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: 2. Let f (x) = 3 cos(2x) – 1. (a) Find the period and the amplitude. (b) Sketch the graph of the…

A: Use function

Q: Solve

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Q: 27. In how many ways can each of the following be drawn from a standard deck of 52 cards? three…

A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

Q: 1 dx x+2

A: Given that a integration and we solve this integration by using general property of integration.…

Q: 1. Sketch the graph of each function in [0, 27n) by transforming its parent function. (a) y = cos(x)…

A: By using the online available graph plotter we will graph the each function in [0,2pi).  As per…

Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: If y = 2u' and determine when x1. 2x-1

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Q: 4. The temperature, T, in C, of a side of beef t hours after it is put in the freezer is given by…

A:

Q: Consider the following equations. y f(y) V 25 - g(y) = 0 y = 2 Sketch the region bounded by the…

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Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: Only pose the triple integral that calculates the volume of the solid bounded by the surface y2…

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Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: sec®3xtan3x dx

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Q: Use Euler's method to a) compute y(1), where y(x) is the solution of the initial value problem: dy +…

A: Use Euler method

Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

A:

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: Find the Taylor series generated by f at x = a. f(x) = x2 - 4x + 3, a = -3 (x - 3)2 - 10(x - 3) + 24…

A: Given