List the interval(s) on which f is increasing. The interval(s) on which f is increasing is/are (Type your answer in interval notation. Use a comma to separate answers as needed.)

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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A: To determine the points on the graph of the function that are closest to the given point.

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Q: 76 = ; 0 ≤ t ≤ 1 3 x = t¹, y

A: we have given curve

Q: or #18 - #20 - Find & in terms of using the formal limit & efinition. lim x1 = 0 x→1

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Q: find the derivative by using the product and or quotient rule  g(w)=e^w(w^3-1)

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Q: Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D =…

A: y=sin(3x)dx/dt = 7

Q: Evaluate the definite integral. [₁²₁ (x^² + ²3 ) (x² + +7 + 2x)-² dx

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A: The given ordinary differential equation(ODE) is:The aim of the problem is to solve the given ODE…

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Q: 8. Compute two fully factored derivatives and determine the exact coordinates of any points of…

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Q: 6. Refer to the graph of k below. -104 k(t) to- toliaupo oda y (a) Evaluate k(2). (b) Solve k(t) 27.…

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A: The standard cosine formula AmplitudePhase shiftVertical shift, T is period

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Q: 7. Find the area inside one loop of the polar curve r = 6 sin (30) below.

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

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Q: (1.4.37) If you graph the function 1-e² 1+ e == You'll see that f appears to be an odd function.…

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Q: 9. Evaluate the integral by changing to spherical coordinates. вто St √2-x²-y² √√x²+y² xydzdydx

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

Q: Sketch the level curves of f(x, y) = y + 2x r² +3 at k = 0, 1 on a common Cartesian plane.

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Q: Find the derivative of the following function. Make sure to state the differentiation rules that you…

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Q: An economy's consumer price index (CPI) is described by the function I(t)=-.2t^3+3t^2+100  , where…

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Q: The area under the curve y = √x bounded below by the x-axis and on the right by x = 4 is 16/3 square…

A: Solution:Area=Let t=-x==Area==Area=Similarly,Area=Let t=xdt=dx==Area=

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A: The given polynomial equation is

Q: Textit) Find a formula for the parabola whose graph is given below: f(x) = (-2, 8) 4 (3, 8) (click…

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Q: Critical Thinking Question: to be agreed upon by the group, and written below by the recorder.…

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Q: the volume of the solid obtained by rotating the region bounded by y=x² and x = y³ (x≥0) about the…

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Q: Find the nominal interest rate for each of the following investments. Round the answers to two…

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Q: 9. Refer to the graph of g below. ola bax g(n)-157 -5 -10 5 0 5 10 15 (a) Evaluate g(5). (b) Solve…

A: Given: To Find:(a) To evaluate .(b) To solve (c) To write an equation for .Note: Since the student…

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A: We have to find the directional derivative at the point (0,π/3) in the direction of vector v.

Q: For the following problem, find the quadratic function y = f(x) that has the given vertex and whose…

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Q: 7. a) Givenx = [4,2, -1] and y = [2, 1, 2], find the vector projection of y onto x.

A: we are given two vectors and we need to find out the projection of vector y onto vector x."Note that…

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Q: Explain why Rolle's theorem does not apply to the function even though there exist a and b such that…

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