Use the graph to evaluate the limit. lim f(x) X--1 12 OA 314 OB. 0 Oc. -1 O D. 34 OE. The limit does not exist.

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: Determine the solution to the following system: 3x+20y8z = 15 20x+15y-7z = 28 6x+5y-4z = 7

A: The solution of the system of equations is:x=1y=1z=1Explanation:The given system of equations is:…

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: The objective of the question is to find the dimensions of a sphere and a cube that will minimize…

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: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

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Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: A 10-ft ladder is leaning against a house when its base starts to slide away.By the time the base is…

Q: Find the surface area of revolution by rotating y=sqrt(x) where x is on (0,4) about the x axis

A: The surface area of revolution of curve  about x axis over the interval is The given curve equation…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral with n -…

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Q: Prove that 3 is prime.

A:

Q: Find the indicated partial derivative. f(x, t) = x5e-ct fttt 0 ftxx = 0 × ×

A: Answers:  fttt​=−c3x5e−ctftxx​=−20cx3e−ctExplanation:Step 1:

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

A:

Q: Find the volume of the solid that results when the region enclosed by y = √√x, y = 0, and x = 9 is…

A: Given that the region is bounded by the curves

Q: dy Use implicit differentiation to find without first solving for y. dx x² + y³ = 1

A:

Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: Find all the first and second order partial derivatives of f(x, y) = 3 sin(2x + y) - 3 cos(x − y).…

A:

Q: If a demand curve is modeled by p = 6- $2.80. find the consumer surplus when the selling price is…

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Q: 1. Graphing Calculator allowed: On a certain workday, the rate, in tons per hour, at which…

A: Explained Below:Explanation:(a) We are given the function for the rate at which unprocessed gravel…

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A:

Q: x²+8x+15 Consider the function f(x): = x+1 a. Find the first derivative. f'(x)= b. List any critical…

A: Note:-Since you asked multiple sub-parts questions, according to our policy we can solve only first…

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: 0 and x = The curve y = 9√√√ is rotated about the x-axis between x = : 1 through an angle of 2…

A: ans=40.99 pie sq unitsExplanation:

Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: == 8. Suppose g is a function which has continuous derivatives, and that g(8) = 4, g'(8) = 1, g" (8)…

A: The objective of this question is to find the Taylor polynomials of degree 2 and 3 for a function g…

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: Find a vector perpendicular to both a = [1,2,3] and b = [4,2,-3].

A: Answer is given below :-Explanation:

Q: Compute the following integral problems [10.x³-12.x³-5dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Deriving Snell's Law from an Optimization Problem Refraction is a physical phenomenon that happens…

A: Please find the below attached solution as per the suggested steps.Explanation:

Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: 200e-x²-12²/4-2²-19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots…

A: The rate of change of the temperature at the point (1,-1,1) in the direction toward the point…

Q: The function P(x)=-1.5+ 300-6000 gives the profit when units of a certain product are sold. Find a)…

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Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: The objective of this question is to find the critical value and rejection region for a left-tailed…

Q: Let (f : [0, infinity) -> R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that for a given function f, which is continuous and…

Q: Suppose that the Quick-Fix Car Service franchise finds that the income generated by its stores can…

A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Solve the following system of equations using any appropriate method of your choosing: • x-y+z=8…

A: The correct answer is:(x,y,z)=(3+2z,-5+3z,z)Explanation:

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: What is the rate of depreciation (in dollars per year) after 5 years? The salvage value S (in…

A: To find the rate of depreciation after 5 years, we need to calculate the difference between the…

Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Answer the following questions for the function �(�)=���2(�2) defined on the interval -6.18,0.57.…

A: answer is given belowExplanation:Step 1: -pi<x<0 Step 2: occurs at -6.18 Step 3: at x=-pi Step…

Q: iii) sin(xy)=x³ + x²y. Ex 2. Find the derivative dy for the following then evaluate the derivative…

A:

Q: The diagram below shows a right triangle that has side lengths of 6.03 and 2.91 cm and interior…

A: We need to find the angle in radians and degree.

Q: Let f(x) (a) At what values of x does h(x) have a relative maximum? arccos(x) and let g(x) = x².…

A: h(x)=arccos(x2) (a) h(x) has relative maximum at x=0 (b) ∫−1/2​1/2​​[arccos(x2)−3π​]dx (c)…

Q: Choose the correct formula for small increments approximation (linearisation) which estimates a…

A: The answer is as follows: 37​≈2−3(382​)1​.Explanation:Steps and explanations are as follows:In case…

Q: 0 218 X 17 (2) 600 x 38 131 784 X 44 147 664 X 18 15746X1

A: We need to perform multiplication.

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation: