Use the root test to determine whether the series converges or diverges. If the test is inconclusive, then say so. 00 k 6k+5 5k - 4 k=1 Ifp = + ∞, enter "inty"!. P =

Q: A. Solve the following 1st order differential equation: dy (4 y + cos y). - 3x² = ( 0 dx B. Solve…

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Q: (Simplify your answer.)

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Q: A Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos (y)

A: We have to determine derivative

Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

A: Here we have to choose the correct option.

Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

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Q: Y=t-2√√√x + X Find domin and ringe

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Q: Find the cumulative density function for the given probability density function. k(x) = 0.8 -0.8x,…

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Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

Q: f(t)=16t²+361t+ 12 is the height (in feet) of a ball launched straight up t seconds after it is…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

A: Solution is here

Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

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Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: 3)Evaluate the following integral by using Trigonometric Substitutions Method. dx √√9x² +9

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Q: Find the area bounded by the curve y = x + 3 and y = x²+x-13, from x=1 tox=3. a. 23 sq. units b. 20…

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Q: find the to the the tang horizontal. X-volves at which the _9x+2 Y = ex curve ent

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Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

A: Here we have to find the integral

Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: Q6) Find the Area bounded by the curves y = √√√x and x = 2y - y² ,with sketch.

A: Let's find area between two given curves.

Q: Find the time it takes for $9,800 to double when invested at an annual interest rate of 18%,…

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Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: Given `f(x)=1/(x-2)` and `g(x) = 4/(x-3)`, find the domain of `f(g(x))` Domain:

A: Given.

Q: Given that Y₁(t) = e 2¹ and Y₂(t) = e³ make up a fundamental set of solutions to y"+5y'+6y=0, find…

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Q: 14. The Integral:√4-3x² a. cos²0.de dx, can be transformed into : b. 2f cose.de c. 2 f tano.de d. 4…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: Given problem:- Use Lagrange multipliers to find the absolute maximum and minimum values of the…

Q: For the curve given by R(t) = (cost + tsin t)i + (sin t − t cost)j + (t^2)k, find a. the length of…

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Q: Transform the given system of differential equations into an equivalent system of first-order…

A: Given

Q: By using the unlimited coefficients method, choose the correct answer for this equation y" - y' - 2y…

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Q: 5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher…

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Q: ) Prove that sech¯¹(x) = In ( ¹+ √¹-x²) X

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Q: Consider the solid shown in (Eigure 1). Suppose that a 49 in., h-343 in. Figure 1 of 1 x³0 Y Part A…

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Q: Graph the rational function f(x)= ↑y K -12 -10 -6 -4 S -2 12- 10- 8+ 6+ 4 Y 2- -2- 4 -6- -8- -10-…

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Q: Use the graph of h(x) shown below to evaluate limh(x), if possible. If the limit does not exist,…

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Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.

Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: Provide your answer below: Domain in interval notation is Range in interval notation is

A: This is a problem related to domain and range of the function. Based on the general formula and…

Q: ind the equation the tangent line and normal line to the graph of f(x) = x³ at x = 2.

A: Given f(x)=x3 substitute x=2 in f(x)⇒f(2)=23=8 The tangent line passes through the point (2,8)…

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: f(x) = х-2 ²-3x-4

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Q: Solve for x: |x+5| < |X-71

A: Follow the procedure given below.

Q: Express the repeating decimal as a fraction. 47134343343/100 0.4713 43 43 43...

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Q: 2. Find y' if y = 7* (log4 x)⁹.

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Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* +5. Give the domain and range of…

A: Given problem:- Graph of y = ex   Transform it to make the graph of y = - ex + 5   Give the domain…

Q: Find the derivatives of the following functions as specified: f(x) = sin(cos r), f"(x)

A: Given: so,       f'(x)=sincosx'         =coscosxcosx'          =coscosx-sinx         =-coscosxsinx

Q: Sketch a graph f(x) = 2 sin [-2(x+1)]-3 for two cycles. ✔✔✔ 5. List 3 key points below. >

A: Concept:  The sine function's general form: y=Asin(Bx-C)+D Where A represents the amplitude Period:…

Q: Q3. Find the cross product of the vectors and .

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Q: = 8* can be obtained from the graph of g(x) = 8 by one of the following The graph of the function…

A: We have f(x)=-8x and g(x)=8x So, f(x)=-g(x)