5+8+11+14+ +47 5+8+11+14+...+47 = ΣΠ k = 1

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

A: Here we can answer both the answer in the below steps.

Q: 8(k+1)-4 8(n+1)-4 4 8k-4 is term to both sides of the equation. 4+12+20++ (8k-4)= 4k² +20++ (8k-4)+…

A: Topic:- application of algebra

Q: Determine the Wronskian of the following functions: f₁(x) = 1, f₂(x) = sinx, f(x) = cosx 0 1 O -1 O…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 9;…

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Q: What's the tangent line to f(x) at (a, f(a))? Select all that apply. Oy=f(a)+f'(a)(x-a) O…

A: To determine the tangent line to fx at a, fa.

Q: 1. Find the area bounded by the parabolas y = 6x-x² and y = x² - 2x. Answer: 64/3 sq. units

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Q: A ball is dropped from a height of 121.3 meters. Its height above ground (in meters) t seconds later…

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Q: An ink program for a printer has two different options: • Option A: $4.00 per month with a $0.04 per…

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Q: Vrite the expression in rectangular form, x + yi, and in exponential form, rei 14 3π [5[cos +…

A: Given query is to find indicated form of the expression.

Q: 2² - 2x x²+x-6° If the limit does not exist, type DNE. Compute the limit lim

A: The given limit is, limx→2(x2-2x)(x2+x-6) We need to find the limit of the given expression when the…

Q: Suppose that 0=arcsin(1/6). What is tan(20)? Your Answer:

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Q: If we have a formula for f(x) , then using the central difference is a better way to estimate ƒ'(a)…

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Q: 9. What is the average rate of change of f(x) from x₁ = -9.8 to x2 = 0.7? Please write your answer…

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Q: rue or false. he integral True False f(a)de gives the area of the shaded portion shown. 3 -1 y =…

A: Given query is to find the statment is true or false.

Q: V= 2 attempts left Compute the volume of the solid formed by revolving the region bounded by y = 11,…

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Q: lower estimate of distance traveled = upper estimate of distance traveled = Report answers accurate…

A: We need to find lower and upper estimate.

Q: 17. Show that each of the following statements is true. a. b. log 15 a d. C. log, a log, a + = log,…

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Q: Find the indicated sum. 5 Σk(k+1) 5 k = 1 k=1 k(k+ 1) = (Simplify your answer.)

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Q: Suppose that sin(a) = 4/7 and cos(b) =4/8 define in the first quadrant, determine tan(a+b). (round…

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Q: 18 x² +9 (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= (a) (fog)(4) " find the…

A: Given,            fx=x and gx=18x2+9

Q: Approximate the area under the curve y = x² from x = 3 to x = 6 using a Right Endpoint approximation…

A: Given y = x2from x = 3 to x = 6 using right endpoint rule

Q: Gauss's law says that the electric flux through any closed surface is equal to the total charge…

A: We have to find the charge contained inside a cube.

Q: Write the solution of the linear system corresponding to the reduced augmented matrix. 10 -3 2 01 1…

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Q: If the slope of the graph of f (same as slope of tangent line to graph of f ), at the point (1,2) ,…

A: Given the slope of tangent to the graph of f at point (1,2) is 7   We are required to find the point…

Q: - Drug pharmacokinetics A patient takes 150 mg of a drug at the same time every day. Just before…

A: we need to find the quantity of drug.

Q: Time left 0:53:15 e population of a city is tripling every 13.9 years. If its current population is…

A: Given query is to find population after 5.8 years

Q: Click the best answer * y = −(1+x²)(2+x²) -1 0 -3 3

A: To find the turning points of the function f(x) , set f '(x)=0  and solve for x .

Q: (a) f(x) = Determine the absolute extreme values of 5 if x ≥ 3 3x - 5 -3x+5 if x < 42:3³ + 108 انت…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Determine the general/particular solution (whichever applies): (D²+4D+5)y=0 y=e*[c₁cos (2x) +csin…

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Q: Evaluate the following three limits: i. lim x→1 ii. lim x-0 3@ iii. lim 2-e3a x-0 I

A: Given problems:- (i) limx→1ex-1-x3x2 (ii) limx→0e-3x-e-4x-xx2 (iii) limx→02x-e3xx

Q: Find the derivative of y with respect to z. y=7 (2²)

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Q: Click the best answer * 7 10 5 ST 2 y = (x+3)²(x² + 1) 0 0 2

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Q: The graph of y=r(z) is given below. Answer each of the questions below the graph. -9-8-7 -6 -5 -4 -3…

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Q: 5. Which of the following does not have a Laplace Transform? a. elnt b. et² c. sintcost d. tantcost

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Q: A rectangular sheet of metal 24 cm long and 12 cm wide is to be transformed into an open box by…

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Q: What can you say is true if f" > 0 ? Select all answers that apply. O f' is positive O f' is…

A: we need to write down the correct options.

Q: Find the nth term {an) of the geometric sequence. When given, r is the common ratio. 43) 2,1,2,...

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Q: The alternating series is convergent. 8 n=1 Select one: O True O False Give your reasons (−1)n+¹…

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Q: Evaluate S(integral sign) 1/AsqrtB dx where A = x^2 and B = 25 + x^2 . Which integration techniques…

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Q: Use integration by parts to integrate the following function. (16x + 16x + 5) In(5x) dx

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Q: Intergrstion of x^2* e^-x^3

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Q: question 15 please show all work  You invest $1500. If the account grows by 71 dollars per year, how…

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Q: Obtain the general solution: (SEPARATION OF VARIABLES) 3. y' = y secx

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Q: Consider the function f(x) 9x³ 2x² + 10x - 3. 3 An antiderivative of ƒ(x) is F(x) = Axª + Bx³ + Cx²…

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Q: sinh 3r 2. Given F(x) = f 2 √3+ t dt. Find F'(0)

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Q: Find the area of the shaded region. Enter your answer as a reduced fraction.

A: Given two equations f( y ) = 1 - y2q( y ) = y2 - yshaded area varies from y = -1 to y = 1

Q: Use l'Hôpital's rule to find the following limit. 1 In (x-3) lim X→4+ lim X→4* 1 X-4 1 1 (x-4-In…

A: limx→4+(1x-4-1lnx-3)=limx→4+(lnx-3-(x-4))(x-4)(lnx-3)

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

A: Solution is done in step 2

Q: Let f(x)= 2-4 H-2 C 4x x 2 a) Does lim-2 f(x) exist? If yes, what is it? If not, explain. 321 b) Is…

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Q: A cup of coffee is served to you at 185 degF. in a room where the temperature is 65 degF. Two…

A: Given that coffee is served at temparature 185°F at room temperature 65°F.Two minutes later coffee…