A- The result of the following limit is 2x² + 3x lim xx0x³ + x + 1

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A:

Q: Consider the function f (x) = x3 −3x2 + 2. Find f ′′(0) and f ′′(2). Deter- mine whether the…

A: topic- derivative of a function

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

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Q: 1. The expression log (at) is equivalent to: h logm a log t 1. A. B. log (at)" . log log Wat D. log…

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: 3 a) Find the exact integer value of a for which tsin (at)dt == ft sin (xt) dt = -². where a1. T

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Q: projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: Data is given

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Q: dont understand what you have done in at the beggining

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Q: For f (x) = 1/4x^4 − 1/3x^3, find the critical values of x, and determine the relative maxima and…

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Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: y = |x-2 (-00,00) & (-2,00) a O [-00,00) 8 the

A: We will solve the problem.

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

A:

Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: An investment of $13,000 was growing at 6.5% compounded quarterly. a. Calculate the accumulated…

A: Answers of the all above question is

Q: Describe the domain of the function. 1 g(x) = √8-x The domain of the function consists of all real…

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Q: Q3/ Find the IVP for the differential equation. x²y" - 3xy² + 68y=0, that satisfies the -зху!…

A: Follow the procedure given below.

Q: Numerical Response #7: The arc length of a circle of radius 15 cm with a sector angle of 110°,…

A: We have to find Arc length of given circle.

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Use the method of variation of parameters to find a particular solution of the following…

A:

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: 3. a) Consider the system k-2 4 [ 0 k-2 0 0 Find the value(s) of k such that the system has only one…

A: As per bertleby guideline I have to solve only question 3 with subparts. For answer to others…

Q: 00 2 dx 2 x22x

A:

Q: For the function A whose graph is shown, state the following: y Wh -7 -3 0 a. lim A(x) X--7 b. lim…

A:

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: ✓ z Find J 1+sin -cos COS In sin 2+cos z 1+sin-z In | In 1+cos - 2 1+0 +C +C +C

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Q: FRONTLINERS campaign that aims to help the Front Liners during the Covid-19 pandemic. Anna, Marie,…

A: Concept: Addition: The operation used in determining the total tickets sold in three weeks was the…

Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: find fxe*dx

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Q: 1. Write the equation with the smallest possible shift for: a) a positive sine function b) a…

A: Let's find sine and cosine  equation from the given  graph.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Please assist with the

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Q: Compute the following limts. If the limit does not exist as a finite umber, please state so. In that…

A: Here we have to find the limit of a function.

Q: Given the equation z=f(x, y) = ln(x² + 2y² +1) with the change of variables x=3-1² and y = 4t-1³,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Bob starts working at age 20 and his pay is $15,000 a year. Over the next 10 years he receives pay…

A: Let's solve.

Q: Factor Linear f(x)=x²-8x³+23x²-28x+12. Suggestion f(X) has some multiple root

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Q: Use finite approximation to estimate the area under the graph of f(x) = 6x² and above the graph of…

A: I have appended the formula used in the solution part of the question

Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function…

A: Find the mass of a car antenna that is 3 ft long (staring at x=0) and has a density function of…

Q: I 2ex e3x tex dx

A:

Q: What function will you differentiate to get each function? 2. f(x) = 8x7 - 4x³ + 2x - 3

A: dxndx =n.xn-1

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: Use the given transformation to evaluate the integral. J (8x + 8y) dA, where R is the parallelogram…

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Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: Solve: •2-3x 5² 5²-³x fx+y x dz dy dx 0 0

A: Here we have to evaluate the given Integral

Q: OA = (3,4-1) OB = (2,0,1) AB

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: This question can be solved using the concept of rate of change of quantities.

Q: Set up the intergal to find the arc length for f(x)=x^4+1 over [1,3]. Show all steps for setting up…

A: Arc Length , L = ∫x=ax=b 1+f'(x)2 dx .