Cos 4x S cos 2x-sin 2x dx

Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: In the notation for definite integral, | f(x)dæ, a

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Q: Test the series for convergence or divergence. E(-1yr (3n – 1). 7n +1 n-1 Evaluate the following…

A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

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

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Q: Determine the derivative of y. y = ev12x+8 %D

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Q: dx In x +1+ Vx² + 2x| + C Vx2 + 2x

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Let f: R → R some function that is at least two times derivable , for f we know that f"(-1) = f"(2)…

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Q: Find the length of the curve of the graph of the indicated function. y = 4x3/2, between points (1,4)…

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Q: The total sales, S, of a one-product firm are given by S(L,M) = ML - L², where Mis the cost of…

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Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: Suppose a product's revenue function is given by R(g) is units sold. - 6g? + 200g, where R(g) is in…

A: To solve the following problem

Q: Find T(t) and N(t) at the given point. e' cos t, y = e' sin t, z = e'; t = 0 %3D T(0) %3D N(0) = %3D

A: Given vector x=etcost, y=etsint, z=etr→(t)=<etcost, etsint, et>

Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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Q: The critical values f(z) = "(1- z)°, for some positive constants a and b on 10, 1[ is/are a. b. tb…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 - z…

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Q: Indicate whether the following statement is true or false. P(x) Let P (x) and Q (x) be polynomials…

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Q: 2x and y 4x?. Sketch the region enclosed by y Find the area of the region.

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Q: Find the area of the triangles, which the lines form with the coordinate axes: а. 5х-35y %3D15 b. 4x…

A: a) We need to find x and y intercept of the line, Put x=0 in equation 5x-35y=15 Then 5(0)-35y=15…

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: We have to find the equation of population.

Q: The International Space Station orbits the Earth at a height of 250 miles. What is the height of the…

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Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: Prove that f : [−4,2] → R defined by f(x) = 7/x+5 is uniformly continuous on the interval [−4, 2]…

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Q: 254. The sides of an equilateral triangle is increasing at rate of 10 cm/min. What is the length of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

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Q: A businessman borrowed Php2,500,000 for 5 years at 5.5% simple interest. What amount must he pay at…

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Q: 23. Use Stokes' theorem to evaluate Se F · dr, where F(x, Y, z) = (xy, yz, zar) and C is the…

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Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: Evaluate the limit. 12 lim х — 5 - x-5 x2 + 2x – 35 Give your answer in exact form. If the limit…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 19y Consider the differential zy" – y = - (1) equation When applying variable z= e', y = u(t)e *…

A: Solve the differential equation then undo put into y(t)

Q: Using Long (Euclidean) division then decomposition into partial fractions x4 - 4x2 -x- 3 dx x2 - 2x…

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Q: The time of oscillation, 1, of a pen- dulum is given by t 27 1. wherel is the length %3D of the…

A: Write this equation in standard form then diffrenciate.

Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: We need to find area.

Q: Two parallel sides of a rectangle are lengthened at a rate of 3 cm/sec, while the other sides are…

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Q: 3600 The function s(x) = = 3600(60 +x)' gives a person's average speed in miles per hour if he or…

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Q: dy Compute the derivative y' dt 4t – 7 y = 5t – 3

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Q: Use a double integral to find the volume under the plane z = 20x + yand over the rectangle R {(x,…

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Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: 33. The expression for the horsepower of an engine is P-0.4 n x^2 where n is the number of cylinders…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Jav f(u) /2x² + 12dx takes the form (и)du.

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Q: A spring whose natural length is 14cm exerts a force of 33N when stretched to a length of 19cm. (a)…

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Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

A: x and y are both differentiable functions of t y=x We need to find implicit differentiation dydt a)…

Q: 4. Show that a b

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Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

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