f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

Q: Evaluate the integral: I√16 + x² da (A) Which trig substitution is correct for this integral? z = 4…

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Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

A: As per the given question here the base of the three-dimensional figure is, x=-y-2The interval is…

Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: Find the area under the graph of y = x + 2 on the interval [-1, 2]. ਲਗੀਆਂ 54-2-1 1 2 3 4 5 3 4 n

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Q: In Exercises 23-38, either use the formula for the sum of a geometric series to find the sum, or…

A: The given series is? 1+1/6+1/62+1/63+...Find the sum and the series is converges or diverges.

Q: The count in a bacteria culture was 900 after 15 minutes and 2000 after 35 minutes. Assuming the…

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Q: Determine whether the alternating series converges. k + 1 9k + 1 Σ(-1)²+1, k=1

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Q: 4. a) b) Let x = 2ī + 3j - k, y = i- j + 4k and 2 = −3ỉ + j. Express the vector x + 2y - 37 in terms…

A: Let , and (a) To express the vector  in terms of vectors  and .(b) To determine .Note: Since the…

Q: 1 n=3nln n-n K

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Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: Find the sum of an infinite geometric sequence in which a1=550 and r =3/8

A: We know that the sum formula of the geometric series is a/(1-r)

Q: The position of Minnie the mouse, as she moves back and forth along a horizontal line is given by…

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Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

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Q: If you know that Q(x) is a quadratic function and that Q(3) = 12, Q(10) = 11 and Q(1) = 10 then: - |…

A: If you know that  is a quadratic function and that and , then to evaluate the following integral.

Q: Identify and explain which of the three requirements from the definition of a continuous function…

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 4 + 3x3,…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 1 x2 20x + 105 - dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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Q: Find the absolute maximum and minimum values of f on the set D. = {(x, y) 1 x ≥ 0, y ≥ 0, x² + y²…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: In Exercises 17-22, use the nth Term Divergence Test (Theorem 4) to prove that the following series…

A: The given series is:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A: A vertical  asymptote is a line x=a where the graph tends towards positive or negative infinity as…

Q: f(x+h)-f(x) h Find and simplify the difference quotient 5x ƒ(x) = ==. Simplify your answer as much…

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Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: For each of the following statements, state which are TRUE and which are FALSE. (Note: The symbol x…

A: Vector cross Product:If we have a vector , then the cross product of  with itself is:Vector Scaler…

Q: A region bounded by fly) = -y² + 4 and x = 1 is shown below. Find the volume of the solid formed by…

A: A region bounded by  and  is shown below. To find the volume of the solid formed by revolving the…

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Let à = ā ( – 5, — 4, 5) and b Find the projection of b onto a. proja b = (3, 1, 0). V

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Q: Select all of the following that need to be analyzed (or looked at) when deciding if a function, f…

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Q: x + 3y¯−¹ = 1/2 x (5) Find y' be implicit differentiation: +

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Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: all values of x for which the matrix x² - 1 -3 2 20² +4 4xc -1 e. Determine x x+1 -3

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Q: What is the rectangular form of the polar equation r = 4sin(0)? Choices: x = 4sin(0), y = 0 x = 0, y…

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Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: find the area of the region Common to the Cardioid r=1+ Cos B & rs 1- Costo

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Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: The base of a three-dimensional figure is bound by the line y = 2x + 3 on the interval [1, 3].…

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Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

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Q: Let f(x)=(1) and g(x) = 2x. For all x-values, g(x) > f(x). O True 4 False

A: At x=0 then f(x)=(1/2)^0=1 and g(x)=2^0=1

Q: Fast pls solve this question correctly in 5 min pls i need urgently pls solve Nid Create a table of…

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Q: answers

A: Solving the problem

Q: 7. Given vectors ū= -2ï- 3j+ k, v= 3i+j-2kand w=(3,0,5), find if possible: a) |ū-3v +2w | b) The…

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Q: 15. Find the sum of 1 1.3 + 1 =+ 3.5 n = 1 1 + 5.7

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