| 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

Q: 1. Find the first derivative of the function g(I) = 81+ 12z - 48T. g'(z) = 2. Find the second…

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Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: 3. |sin3xsin 2x dx

A: 3. Now sin 3x sin 2x=12(cos(3x-2x)-cos(3x+2x))=12(cosx - cos5x)

Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: For a certain automobile, M(x) = - .015x+1.25x-7.5, 30 sxs 60, represents the miles per gallon…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  first, we…

Q: Following S sin(A) cos(B) dx = ; f sin(A + B) + sin(A – B), | what is the integral of f sin 5x cos…

A: We have to solve the following

Q: dx V4-9x2

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Q: In x dx

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Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: 2. Scos'xsinx dx cos’xsinxdx

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Q: d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by…

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Q: dx V4-9x2 2.

A: topic - indefinite integral

Q: An object is thrown. t seconds after it is thrown, its height is given by h(t) = – 16t² + 128t + 350…

A: Find your answer below

Q: Which integral has the largest value? a ed f (x) dx f (x) dx f (x) dx f (x) dx

A: We have to find out the largest area

Q: Scse* xdr 4 2.

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Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: A particle travels along the r-axis such that its velocity is given by v(t) = t2 cos (3t + 2). What…

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Q: cos x dx

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 ---&gt;1dtdx=12t-4…

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: 1. S(In x)² dx

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Q: Find an equation for the plane that is tangent to the given surface at the given point. z= vy-x…

A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

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Q: dx V5+4x-x²

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Q: 2ydx = 3xdy

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Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

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Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.5x + 350, what is the…

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Q: Solution Set -20 -10 20 -10 20 Say whether the region is bounded or unbounded. The region is…

A: The region that corresponds to the given inequality,10x+5y≥505x+10y≥505x+5y≥40x≥0, y≥0

Q: A F(s) = S + 5 1 B F(s) = s2 + 25 120 F(s): s6 S + 5 (s + 5)2 D F(s) +

A: We have to find Laplace

Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

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Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

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Q: radius of a right circular cylinder is increasing at the rate of 10 in/sec , while the height is…

A: Given query is to find the rate of change of volume.

Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: Sx² Vx – I dx

A: Given query is to find the value of integral.

Q: 16. Evaluate the given integral, ," x sin x² dx coS 16 coS 4 A. 2 2 cos 16 cOS 4 В. + 2 cos 16 coS 4…

A: We have to find the solution

Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: af If f(x, y) = (18x - y)°, then is given by: 45 | 11 45 9. - 0-#(18z-유y)' 45 9. 45 O 1(18x 9. 11

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Q: 1 (f) log16 VI+1 = 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

Q: | tan 3x sec 3xdx 3.

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

A: