+00 (5 – 4(ln n)*)" Σ (V3. In n)3n n=2

Q: 13 with A in Quadrant III, and cos(B) 85 8 with B in Quadrant I. Find cos(A+B). 17 You are given…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 2.

A: Explained below

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to × from the parametric…

A: Question 4,Given,            x=1-t , y=t3-3tTo find : Find the second derivative of y with respect…

Q: The domain and the range of z=cosh -'| x+y |are represented respectively by O A. ER X R: 20} and…

A: f(x)=cos h-1(x)domain of the function is [1, ∞)for z=cos h-1x+yxz=cos h-11+yx1+yx ≥1yx≥0

Q: Find the derivative of the following functions and simply it whenever possible. 4. y = log (sin24x)

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Q: Please solve this simple question as soon as possible

A: a) The following set of differential equation have been used to determine the populations of two…

Q: evaluate the function f(x)=−3x2+2x at the given input a) f (- 2 ) b) f (a)

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Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: y II. y f'

A: Only one point is able to distinguish between the curves.That is f'(x)=0when f'(x) crosses 0 whenf…

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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Q: Consider the following IVP: y' +y = e2t ; y(0) = 0   Find the general solution.

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Given the power series 00 2" (x + 4)" n =0 n! Find the "Radius of Convergence" for the series. (A L…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: To find the standard form of the equation of the hyperbola.

Q: ` log x dx

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Q: An investor bought stock for ​$50,000. Nine years​ later, the stock was sold for ​$70,000. If…

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Q: The following vectors are in 3D. Write in a unit vector form and find its magnitude. а) k%3D…

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Q: Activity 1.4.2. For each given graph of y = f(x), sketch an approximate graph of its derivative…

A: For each graph of y=f(x) , sketch an approximate graph of its derivative function, y=f'(x).

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

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Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1> %3D %3D 1 1) Determine the unit…

A: Here, the given vectors are: A=0,4,2, B=6,-1,0  C=3,0,1

Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: Solve the following equation in the interval [0, 2 7). Note: Give the answer as a multiple of T. Do…

A: Given that      2(sin(t))2 - sin(t) -1 = 0

Q: Question Given that 0 < x < 2n, find all the solutions to the equation 8cos?x = 8cos x + 6. Provide…

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Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…

Q: An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth…

A: topic - differential equations

Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider a triangle ABC like the one below. Suppose that a=14, b=10, and A=82°. (The figure is not…

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Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

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Q: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

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Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

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Q: Solve the following equation. (x – 4)2 – (x – 4) – 20 = 0 List your answers separated by a comma.…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To find the vectors that satisfy the stated conditions.a Oppositely directed to v=3, -8 and half the…

Q: Given that z=5cos (3x + 3ct) +e*+. Which ONE of the following statements is TRUE? A. a2z dx2 В. д2:…

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Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Use sigma notation to write the sum. 1 +. +. 9(1) 9(2) 9(3) 9(11) 11 Σ i = 1

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Q: 3. Find the indefinite integral. (Use C for the constant of integration.) Ssin(3x) cos(3x) dx

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Q: What are all the cube roots of -1 in the complex plane?

A: answer is in next step

Q: Consider a triangle ABC like the one below. Suppose that A= 28°, C=118°, and a=54. (The figure is…

A: To solve the given triangle

Q: Show clear and detailed solutions. (a) Find the general equation of the plane n passing through the…

A: Equation of a plane parallel to a plane ax+by+cz=0 is given by, ax+by+cz+d=0 , a,b,c,d are scalars.

Q: secotaned0 2sec0+3

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Q: Solve the equation 6cos?x + 11cos x = -4 given that 0 < x < 2n. Provide your answer below: X =

A: First I have made factor of given trigonometrical equation and then seperetly solved them and find…