Find the exact length of the curve = √(y - 3), 1 ≤ y ≤

Q: Find the linear least squares polynomial approximation to f(x) on the d. f(x)= e, [C

A: The solution is given below

Q: The graph of the second derivative f"(x) is given below. On what interval(s) is the function f(x)…

A: NOTE: Refresh your page if you can't see any equations. . the function is concave up when  as we…

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

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Q: Find the vector component of v = (4, -1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along to b is: Vector component v…

Q: y=x^3+5

A: Please refer to the image below

Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. C = O a = b= A…

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Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given a distance time graph. To find the whether the slope of the graph is positive or negative. How…

Q: Find the angle in the first quadrant that satisfies cose = √3 2π M FIM FU 6 None of these 5 T 6

A: We need to find the value of the angle θ such that cosθ=32.

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: f(x) Find the extrema and possible points of inflection (if any exist) of In x X

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Q: O A. Use the formula for the cosine of the difference of two angles to find the exact value of the…

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Q: Current Attempt in Progress Let 0-1 Find the following limits. Type NA in case the limit is…

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Q: Consider the following. U = 7i + 6j, v = 2i + 4j (a) Find the projection of u onto v. (b) Find the…

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: Let f(x) = x6, x ≤ 1 √√x, x > 1 Determine whether f is differentiable at x = 1. If so, find the…

A: Given :fx=x6,x≤1x6,x>1to check differentiable at x=1

Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

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Q: Does the series (-1)k +1_ k=1 6 k +4 converge absolutely, converge conditionally, or diverge? Choose…

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Q: 4. (True/False) Two lines in three-dimensional space either intersect or are parallel.

A: We have to give explanation about the given statement either it is true or false.

Q: 5-8-2-5| ||6-5|- |3+2||

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Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: A farm costs f(x,y), where x is the number of pigs and y is the number of horses. There are 10 pigs…

A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

Q: A charge to rent a saw per day or a fraction of a day Fixed Cost $5 variable cost $10 1 1/3 = 2…

A: We have to find the total cost for 113 days.

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is…

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Q: Determine the quadrant in which x lies if tan x 0. Οιν || 1 ||| x lies on an axis

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Q: Find the solution of the given initial value problem 88y" +19y"+y = 0, y(0) = -5, y'(0) = 6, y"(0) =…

A: To find out the particular solution.

Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

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Q: Σ k=0 (-1) k 5k + 9 The number of terms that must be summed is (Round up to the nearest integer as…

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Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: S √x XHI хр

A: the solution is given in step2

Q: if x - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x)…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: Find the Fourier series of the function f on the given interval. f(x) = {0 -2< x < 0, 1 0 <= x < 2}…

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Q: Antidifferentiate: f3e²x dx 0e²x +C O 3e² + C

A: To antidiffferentiate the given.

Q: 6r (x²+3)²¹ 14. Given f(x). f'(x) = ²+3 (m). Write "none" where appropriate. (a) Domain of f: (b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the figure, which shows two lines whose equations are y₁ = m₁x + b₁ and y2 = m₂x + b₂. Assume…

A: The solution is given below

Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: 11) Find the first derivative of y = (lnx) 4

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: We first need to find complementary solution Auxiliary equation is given by m3-2m2-m+2=0…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: we need to find out the vector vector in same direction and in opposite to the direction of the…

Q: Solve 11. a), b), c), d)

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Q: dy The following differential equation is separable as it is of the form dx dy e6x + 5y dx dy h(y)…

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Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A: NOTE: Refresh your page if you can't see any equations. . The first 3 rows are absolutely correct.…

Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t&gt;7, x(9)=0)

Q: Use the product-to-sum formulas to rewrite the product as a sum or difference. cos 20 cos 40 Need…

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