lin +²-25 ++-5 2t² + 1lt +5

Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

A:

Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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Q: (a) Find the Taylor series expansion of the function cos x around x = 0 (b) Use the first three…

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Q: Add 2.33 × 103 to 4.16 × 102 and express the x X answer in scientific notation. 27.5 × 10² X 4.39 ×…

A: Add the expression.

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 2 + 2x - x²,…

A: The given function fx=2+2x-x2 we have to find the difference quotient f5+h-f5h

Q: 43. YA 3 -1 y=2x L (3, 3) 3x

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Q: 6 5 4+- 3 2 1 1 +- I lim 1-8 lim lim → 4¹ 1 0 1 2 y = f(x) →4 T T I T 1 Enter each answer as a whole…

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Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: We can answer the question in the below steps.

Q: 4) xy' + y = xyy'

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √x about the…

A: Given problem:-- Find the volume of the solid obtained by rotating the region bounded by y = x and…

Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 2 1 0 -1 -2 -3 F 12 5п 12 3πI…

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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…

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Q: Hello, can you help with the below math exercises with the explanation please? Thanks a lot! 5/…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is given by The table for the function gx is

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Given :-x=2+t,y=3+12t and Tx2,4=5,Ty2,4=3

Q: Consider the function f(x)= x² X-3 -9 Which of the following is true about f(x)? O f(x) is…

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Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: A wheel of radius 14 inches is rotating 12°/sec. What is the linear speed in in/sec and the angular…

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Q: 6. x = c₁ cos tot + c₂ sin cot; w a parameter.

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

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Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: EX: Find all residues of f(Z) = Sol: there are f(z)= 50Z (Z+4) (Z-1)² 50 Z x₁ = [ 25 71₂₁ 32² +42-7…

A: Given fz=50zz3+2z2-7z+4

Q: 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α such that v→=αu→ u→×v→=0→

Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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Q: ● जे

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Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

A:

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Solve for the indicated variable. Show all work. 1. Solve for n in: 2. Solve for x in: 3. Solve for…

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Q: Find the indefinite integral by using the substitution x = 6 sin 0. (Use C for the constant of…

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Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

A:

Q: lim x → 0 cosx−1 -1 X

A: The given limit is: limx→0cosx-1x   As we know that; cos-θ=cosθ

Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α v→=αu→

Q: The revenue function is given by R(x) = x p(x) dollars where x is the number of units sold and p(x)…

A:

Q: Your friends, Fernando and Amelia, each own a video game designer company. They both want you to…

A: Given: in part time job making $8.00 per hour. Femando offers to pay you $15 per hour for the first…

Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

A:

Q: If the value of land in an area is increasing 6.4 percent a year, how long will it take for property…

A: This question can be solved using the concept of compounding.