n Σ (3 + 2k) = ΙΝ k=1

Q: Obtain the particular solution satisfying the initial conditions indicated. 3. (y² + xy) dx - x² dy…

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Q: Suppose that f is a function given as f(x) = 3x² - 7x. Simplify the expression f(x + h). f(x + h) =…

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Q: Let f(x) = 9x²+2x+7 Determine the equation of the tangent line to f at x = 2. Report the solution…

A: f(x)=9x2+2x+7eqaution of tangent line in standard form is y=mx+cwhere m=slope=f'(x)

Q: are you able to graph this? thank you!

A: graph of z=16-x2-y2  is given below

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Q: 4. Find dy/dx, where y(x) is an implicit function defined by x² cos y-y² sin x = 0

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Q: Acme finds that its monthly revenue, in dollars, from the sale of x carry-on suitcases is 0.008x³…

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Q: Consider the following vector function. r(t) = (6t², sin(t) - t cos(t), cos(t) + t sin(t)), t> 0 (a)…

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Q: In the figure, a small block of mass m = 0.044 kg can slide along the frictionless loop-the-loop,…

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Q: 1. Differentiate: y = √2 - 3x²

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: he function below represents the number of people who have a rumor tt hours after it has started.…

A: Given: N(t)=6001+599e−0.3t

Q: Ted makes a chart to help him analyze the continuous function y = f(x): y ょく-l + z=-1 2 0 -12 y 1 -2…

A: We need to choose correct option.

Q: Evaluate JJ curl curl F. N dS where S is the closed surface bounded by the graphs of x = 6, z = 25 -…

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Q: Q1 :  a) For the function f(x )=x^3 −12x, its local maximum is ____?____ which occurs at (___? __ ;…

A: The given function is: fx=x3-12x   As we know that, The Power Rule: ddxxn=nxn-1

Q: For the following integral.Sed using n=5 subintervals b) Find the Trapezoid Rule Approximation, as…

A: (b) Given that , ∫01e-xdx , n=5 find the Trapezoid Rule Approximation , as well as the error bound.

Q: Let f (x)  =  { 8x x  ≤  12 −4x + 144 x  >  12 Evalute  36 ∫ 0f (x) dx.

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Q: f(x)= ated at: ertical (x-3)² 5(x+1)²(x-2) 4. The rational function above has an odd vertical…

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Q: C(t)=63.5te−0.15t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: Find the volume of the solid bounded by the surface z=f(x,y) and the xy-plane. -4

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given  Fs=8 s2 - 49 s + 294s  s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: 3. City A (1, 4) and City B (4, 10) are located on a graph at the coordinates listed (all distances…

A: As we know the formula for the distance when it passes through the two points Ax1,y1 and Bx2,y2:…

Q: Hi, Can you be so

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: The function f has a domain of all real numbers. Its derivative, f'is graphed below. A B Graph of f'…

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

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: Use the method of Laplace transforms to solve the given system of initial value problem. y(0) = 1…

A: The answer is in step 2.

Q: 4. Using a series representation of sin(7x), find values of a and b such that sin (7x) + +2/2+] = 0…

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Q: "MixtureA tank contains 100 gallons of a solution composed of 70% water and 30% alcohol. A second…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. (If an ans f(x) =…

A: We have fx=x+4x Given interval  x∈0.2,8 Lets use double derivative test

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: You are given the graph of a function f. Determine the intervals where f is increasing, constant, or…

A: The solution is given below :

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

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Q: 4 S² x² dx

A: We have given  that f(x)=x2, a=0, b=4, and n=8

Q: How long will it take for an investment of $5,000 to grow to $25,000 if the investment earns…

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Q: Let f(x) = 4x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: Combine the sum of the two iterated integrals into a single iterated integral -3√2/2 xy dy dx √9-1²…

A: Convert into polar form

Q: Determine the following indefinite integrals using the given substitution a. [x cos(32²) dx, u = 3x²…

A: We need to find the given integration (a) ∫ xcos3x2dx

Q: Find the volume of the solid bounded by z = 13 - 13(x² + y²) := (x² + y²) ² − 1.

A: The given curves are:z=13-13x2+y2         and           z=x2+y22-1

Q: The wind-chill index is modeled by the function W = 13.12 +0.6215T-11.370.16 +0.39657v0.16 where T…

A: Ans= 1.32 degree Celsius and.  -0.38 degree Celsius  For detail...go through the solution

Q: construct a function and graph:

A: We need to construct trigonometric graph.

Q: What are the solutions to the equation on [0,2π)? sec(3x)=−23√3 Drag all solutions to the box to…

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Q: Express the iterated integral 1-z -2 4-x² Tro ²-3 0 equivalent to which of the following integrals?…

A: The given iterated integral is:∫02∫04-x2∫x2-31-z g(x,y,z) dy dz dx

Q: (a) Verify that y is a solution of the ODE. (b) Determine from y the particular solution of the IVP.…

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Q: 75 ft A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

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Q: Which point on the curve y = √x - 4+9 is closest to the point (7, 9)? (x, y) = ( What is this…

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Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Given :ft=t2-1t2+1    -2, 2

Q: Determine the point of intersection (if any) between the two lines: L₁ :[x, y, z]= [9, −1, 5]+ r[3,…

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