4. y = sec*e - tan*e

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: cos(6x2) 22.What should be the value of A so that f A · sin(6x?)dx = + C? %3D 4 A. 3x 4x В. C. 2x D.…

A: ∫A.sin(6x2)dx=-cos(6x2)4+CDifferentiate on both…

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A: Given: The graph shows the estimated number of milligrams of a pain medication M in the bloodstream…

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Q: Σιο.1-1+ 0.9" n=1 Determine whether the given sequence converges or diverges. If it converges, find…

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Q: dy 3) Determine the of : In (ху?) %3D х у dx

A:

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

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A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: Homogeneous or not? State the degree of function if homogeneous. x^3-xy+y^3

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Q: sequential convergence Lim 3-8n h-oo n+2

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A: To solve the given problem use the following formula. ln (e x) = x

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: What can be concluded when integral test is applied to the following series? 1 (2n + 1)3 Select one:…

A: The given series is: ∑n=3∞1(2n+1)3 Let, an=1(2n+1)3, n≥3

Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A:

Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3

Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: (e) Alternating Series Test: Σ (-1)"-2 3n + 3n

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

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Q: 10. xy' + 2y = 6x²/y

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

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Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: Use the formula k(t) ||F(t) × r"(t)|| to find k(t). ||r(t)||° r(t) = 11 cos(t)i+11 sin(t)j+6tk K(t)…

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Q: nd an equation of the tangent line to the graph of the function at the given point. 3x +5 f(x) = x -…

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Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: x2 – 25 dx 7) S-

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

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Q: Find the direction cosines and angles of u and show that cos? a + cos? B + cos? y - 1. (Round your…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = V…

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Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: e2x :dx /1– ex

A: Given:        ∫e2x1-exdx  substitute u=1-ex→dudx=-ex→dx=-exdu  use e2x=1-u2      =∫u-1udu Expand:…

Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: Use the Limit comparison Test to establish the convergence ovpodivergence ofthe the Sum from Series…

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Q: E(0.1)" -1 + (0.9)"] n=1 Determine whether the given sequence converges or diverges. If it…

A: Given series ∑n=1∞ (0.1)n-1 +(0.9)n