If a sequence C1, C2, C3, has limit K then the sequence e¹, has limit ek. Use this fact together with l'Hopital's rule to compute the limit of the sequence given by bn = (n) 1.9 n

Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: Evaluate the integral of the following tabular data with the trapezoidal rule by-hand. X 0 2 F(X)…

A: To evaluate the value of integral.

Q: The number of people P that are contracting a new disease can be modeled by the population virus…

A: To determine the rate at which the disease is spreading

Q: 60. a. Find the linear approximating polynomial for the following function centered at a. b. Find…

A: Given that , fx=16x32 and a=9

Q: The graph of a function g is given. 1 = 0 Consider the integral I when answering the following…

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Q: solve Laplace L-1( 2s −1/s2(s + 1)​​​​​​​3 )

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. ≤ 0…

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Q: 4. Evaluate the following derivatives and definite integrals. (») & [[ ²³ d] = et² dt dr (b) La[+]…

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Q: Determine an equation for the plane through the point: P = (-3, -4, -9) which is perpendicular to…

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Q: Find f'(5), if f(z) = (4z² + 5x) (2x² - 8)

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Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: Find a vector equation for the line through the point (4, 5, -1) perpendicular to the vectors , 6,…

A: we have to find the line equation passing through point (4,5,-1) and perpendicular to the vectors…

Q: Assuming a constant interest rate of 8% per year, determine how much would you have to invest today…

A: Given query is to find the invested amount.

Q: A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 6 feet tall. Find the volume of…

A: We can find the volume in the below steps.

Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: Write a velocity function for mr drygas's car

A: Given the position function of Mr. Drygas's car is given by s(t)=516t2-14t3 , for t=0 to 1 .

Q: 2. If cos a = sin ß = ²³, P(a) € QI, P(ß) € QIII, find the following: c. sin(2a) (* e. sin (2) b.…

A: Note  :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Let f(x,y)=x²-3xy-y2. Compute f(2,0) and 1(2. - 6). f(2,0) = (Simplify your answer.)

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Q: Question <++++ -10 -8 -6 -4 -2 Select the correct answer below: Ox(t) = -2t, y(t) = et + 3 Ox(t) =…

A: To determine the sets of parametric equations that define the given curve.

Q: Evaluate. 2 √2x dx

A: Our Aim is to evaluate the integral given below:-∫022x dx -(i)

Q: Calculate the flux v out of the ball x² + y² + z² = 1 given that v(x, y, z) = 3zi+2yj+2 zk. a) 28T…

A: Please see the below picture for detailed solution.

Q: If the common ratio is 0.6, what is the percent change?

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Q: company manufactures mountain bikes. The research department produced the marginal cost function…

A: Given query is to find the increase in cost for indicated production level.

Q: 4) The population of a city doubled in 30 years. What is the exponential growth rate?

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Q: Find parametric equations for the path of a particle that moves along the circle x² + (y - 3)2 = 16…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

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Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point.…

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1," 16 5 Enter the exact…

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Q: Ņ f the following statements is true? -2 0 --1- --2- t of inflection is at (5, 1). bsolute and…

A: Given query is is to find the correct option.

Q: Find the surface area and volume of the figure below. 9 ft 9 ft Surface Area = Volume= 9 ft a square…

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Q: (Click on the graph for a larger version.) A. f3 f(x) dx = B. If the vertical red shaded area in the…

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Q: A -| n=3 n 3"

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Q: Determine an equation for a plane through the point: (-7, -9, 4) parallel to the plane 3x + y + z =…

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Find the accumulated present value of a continuous stream of income at rate R(= $136,000, for time…

A: Given: Initial value=$136000 Time= 17 years  Interest rate k=7%

Q: x A20x + A²1 A20 - + 10 = 11+ A.

A: Given query is to solve for x.

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: 1 Find the derivative of the following function. y=5.11* y'=0 Question 1 of 5 >

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Q: -45 + 7(x + 2) - 6x (no justification needed) = -45+ (7x + 14) - 6x = -45+ (14 + 7x) - 6x = (-45 +…

A: Part 2 Given that , -45+7x+2-6x For each step, use a property of the real numbers.

Q: Find the point on the graph of f(x)=√x that is closest to the point (9, 0). (x, y) =

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Q: 2) Solve for x : a) e* = 80 b) 3¹-* = 9²x g2x

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Q: KIf y=9x+ 3 . 8 The value of find dy dx dx at x = 1. at x = 1 is (Simplify your answer.) < Question…

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Q: a) log (x² - 1) - log (x − 1) = 1 b) log4x x = 2

A: Given query is to find the value of x.

Q: Question -10 Considering the interval (-4,1), does the Mean Value Theorem for integrals hold for…

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Q: 3 [(5x² +9) dx 0 3 (1) (5x² +9) dx = (Type an integer or a simplified fraction.) 0

A: ∫xndx=xn+1n+1+c∫03(5x2+9)dx=5∫03x2dx+9∫03dx

Q: dn A flu is spreading at a rate of = 180t -3t2, where is the number of people dt affected at any…

A: We need to find n in terms of t and no of people after 2 days.

Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

A: