Find the nth term of the geometric sequence whose = 2 and common ratio is 3. initial term is a 1 ап = must be a function of n.) (Your answer

Q: Find the third derivative of f(x) = ebx (ebx + e³-bx), where b is a parameter, and calculate its…

A: f′′′(x)=8b3e2bxf′′′(0)=8b3   Explanation:

Q: Use a table of integrals to find the indefinite integral. (Remember to use absolute values where…

A: To solve the indefinite integralx^2sqrt(95+25x^2)

Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…

Q: 6. For the graph below, calculate the following quantities. (a) y'(2) if y(x) = f(x) g(x) y=x) (b)…

A:

Q: Can you please provide me with a detailed problem and solution that helps me to understand the…

A: The objective of this question is to understand the concept of surfaces and level curves in…

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to ƒ…

A: • The Mean Values Theorem is satisfied. • The value of c guaranteed by the Mean Value Theorem on [1,…

Q: Please don't provide handwritten solution ....

A: The correct answer is approximately D). 10,232 units. Explanation:The supply function of a commodity…

Q: Find the third derivative of f(x) = ebx (ebx + e³-bx), where b is a parameter, and calculate its…

A: The third derivative of f(x) = ebx(ebx + e3 - bx) is f'''(x) = 8b3e2bx and f'''(0) = 8b3.…

Q: Find the logical value of the proposition and the domain of discourse is R(real)

A: The logical value of the proposition ∀x∃y∃zxyz=1 is true for all x∈R except x = 0.Explanation:Step…

Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

Q: pls help on all asked questions pls

A:

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: Set 2π 1 +3 up and evaluate the definite integral for the area of the surface generated by revolving…

A: The required answer is 258.85 square units .Please find the attached file for details...Thank…

Q: Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3).

A: By using the graph of y=f(x) in the accompanying figure to estimate thevalue of .

Q: Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and…

A:

Q: A contour map for a function f is shown. Estimate the value of f₁(4, 18) 20 15 10 5 70 fy(4, 18) ~…

A: Given:a contour map for a function f is shown.To find:Estimate the value of fy(4, 18).

Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at…

A:

Q: Consider the function graphed below. 7+ 6 5 4 3 AN -6-5-4-3-2-1 2 1 2 3 4 5 Determine the following…

A: 1.)a.) Amplitude: 3b.) Period: 5c.) Equation of Midline: y = 3 2.)A = 5D = 0B = π/7s =…

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

A:

Q: Find the curvature of y =sin(3x) at x =

A: Curvature is the measure of how much a curve curves at each point on the curve. It is defined as the…

Q: -1 1) [₁ x tan ‘xd.r Evaluate (a)

A:

Q: If a coin is tossed 11 times, find the probability of the sequence H, T, H, T, T, T, T, T, T, H, T.…

A: The objective of this question is to find the probability of a specific sequence of outcomes (Head,…

Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: Problem #2: Given f(x,y) x784xy2, which of the following vectors points in the direction of steepest…

A:

Q: 7. ) Use the model A = Pert to derive a formula for finding the time it takes for an investment to…

A:

Q: PROBLEM 11 SHOW COMPLETE SOLUTION PLEASE

A: A) 50mmB) 100.825 mmC) 15.89 .mmExplanation:Step 1:Step 2:Step 3:Step 4: 5)6)

Q: Find the exact length of the curve. y = 0x312, 2x3/2 0 ≤ x ≤ 6

A:

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in…

A: Given:pair of integers m and n.To find:Use the division algorithm to divide m by n.

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: Evaluate the integral by reversing the order of integration. 60+8 6e* dx dy

A: To evaluate the following integral by reversing the order of integration.

Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

A:

Q: If H (x) = x² (2x-41)

A: H(x)=x2(2x−11−4x)

Q: uppose that f and g are functions such that f(5)=3, f'(5)=-2, g(5)=4, and g'(5)=-5. nd h'(5) where h…

A:

Q: Need help with A and B of this equation

A: (A) N′(x)=x23630​ (B) N′(10)=36.3At $10,000 level of advertising, sales are increasing at the rate…

Q: Let F = 2xyzi + (x²z+ 2z)j + (x²y + 2y + Curl(F) = 0 (note that Curl(F) may also be wri öd of…

A:

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A: Cost, revenue, and profit are in dollars and x is the number of units.The average cost of a product…

Q: 7. Find a closed formula for each of these recursively defined sequences. (a) a₁ a₁ = 4 and an+1 =…

A: The objective of this question is to find a closed formula for each of the given recursively defined…

Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: Given that the region bounded by the curves

Q: Prove the followings: - 1. Vẻ - du = uva − x +aarcsin;) +C

A: To prove the following.Note: Since you have posted multiple questions, we will provide the solution…

Q: AutoSave of82 d Document Word 9 Chris Nave 3 File Home Insert Draw Design Layout References Mailings…

A: Cobb Douglass formula isP(L,K) = bLαK1-αIn 1920, α=0.20 and b= 1.01.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: a)x-intercepts are −3,0,3.y-intercept is 0. b)The local maximum is…

Q: Consider the functional S[31, 32] = [ dx [7y² + 24y,y2+21y2² +4y² + 12y1y2+9y3] · - Y₁ = azı 322, y2…

A: Functional separability lets you break down a complex functional (think fancy function) into simpler…

Q: 1)What is the antiderivative of f(x) = √√x + sinx

A:

Q: 2. The population of Mathville is modelled by the function P(t) = −2+3+ 54t2-40t+ 21000 where t…

A:

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

A:

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: The figure