The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined by x + 2, what is the width of the rectangle? 3x³ + 6x² + 3x + 6 O 3x³ + 6x² + 5x + 10 O 3x² + 4 O 3x² + 6x +4

Q: Let (a) (b) (c) f(x) = log (2 x² + 3) -log(5) - 6 f(1) = The slope of the tangent line to the curve…

A:

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

A:

Q: 1 The limit is 0 and the function is continuous at the point. The limit is 0 and the function is not…

A:

Q: Find an equation for the ellipse. Graph the equation. center at (3,-2); vertex at (8,-2); focus at…

A: We need to find equation of ellipse.

Q: Test the convergence of

A:

Q: Find the area of the region enclosed by the graphs of the functions f(x) = 14e*, g(x) = -x + 14 and…

A:

Q: 5. S √x²-a² dx

A:

Q: Find the function represented by the following series and find the interval of convergence of the…

A:

Q: Find all critical points for f(x)=x²-x² - 2x + 1.

A: Our Aim is to find all the critical points for f(x)=x3-12x2-2x+1 -(i)

Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

A:

Q: the following sequence or determin hat the sequence diverges. 5n 36n² + 1 elect the correct choice…

A: We have sequence  5n36n2+1Let an=5n36n2+1

Q: 5.5x³(a²-x²) ²/dx

A: The given problem is solved below in detail.

Q: The y-coordinate of the vertex of a parabola that opens up is called the _____. minimum value…

A:

Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

A:

Q: The linear approximation at x = and where B is: 0 to 1 X is A + Bx where A is:

A:

Q: Use the Limit Comparison Test to determine convergence or divergence. 3n²+ n=1n²+5n²-7 ∞ Σ Select…

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

Q: Using the differential length dl, find the length of the curve. r = 1,0 = 30°, 0° ≤ Ø ≤60° O O 1.530…

A: Given Problem:- using the differential length dl, find the length of the curve  r=1,θ=30°,0°≤ϕ≤60°

Q: Find an equation for the ellipse. Graph the equation. center at (1,6); focus at (4,6); contains the…

A:

Q: 3. Determine whether or not the series converges. Justify your conclusion. 86 Σ n=1 n² - 2n n³ + 3n+…

A: Solution is given below:

Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

A: The objective is to determine the average rate of change for the function.

Q: Given f''(x) = - 16 sin(4x) and f'(0) Find f ¹ƒ(3/3) = = 6 and f(0) = - 5.

A: SOLUTION-

Q: Consider the function f(x) = 12x³ + 45x¹ - 360x³ + 5. f(x) has inflection points at (reading from…

A:

Q: price

A: At Equilibrium, Demand = Supply,

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

A:

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

Q: Use the Laplace transform to solve the following initial value problem: 5t x' = 14x + 5y, y = −9x +…

A:

Q: Evaluate the integral. 3π/4 45) ³7/4 4 sec 0 tan 0 de -π/4

A:

Q: Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine…

A:

Q: Problem 3. Match the functions with their graphs. 1. f(x) = cos(x) 2. f(x) = sin(x) 3. f(x) =tan(x)…

A: To match the given functions with the given graphs.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 1. Find the Taylor series for f(x) = cos x centered at a = 4. Express your answer in sigma notation.

A:

Q: (d) Find the time required for the coin to reach the ground level. (Round your answer to three…

A:

Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

A:

Q: K Graph the curve whose parametric equations are given and show its orientation. Find the…

A: Solution is here

Q: h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up…

A:

Q: Find the market equilibrium point for the following equations: Supply: .10x + 5 Demand: -.15x + 10

A:

Q: Evaluate the following geometric sum. 7 Σ σπκ k = 0 7 Σ σπκ = k = 0 (Type an exact answer, using it…

A: I have stated the used formula in the solution.

Q: Use the Comparison Test to determine whether the series converges. ∞ Σ k=1 1 3 7k³ +7 The Comparison…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph at the given…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d d.x 10 t³ dt =

A:

Q: The processing time for the robogate has a normal distribution with mean 26 sec and standard…

A: Solution

Q: LOGARITHMS The statement y = 6* can be written as x=log, y. They mean the same thing. REMEMBER: A…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Question 4 Find the power series for 2xe² by differentiating power series representation of ex. Also…

A:

Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

A:

Q: udx + (1 - 3u)x du = 3u du.

A: I have stated the used formulas in the solution

Q: 2) y = ex + e¯X, 0 ≤ x ≤ ln 2; x-axis 2

A:

Q: 2. Find the interval of convergence for the series. n=1 (x - 7) n n5n

A:

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify…

A:

Q: What is the correct equation for the following scenario? Alex wants to figure out how much money…

A: