Write an equation to represent the following statement. 33 is 15 less than k Solve for k.

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(3) and F(7) 3+ 2- ...

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Q: sec2(tan-ly?) dy tan ( tan -ly?) +C 1+y4 A True B) False

A: The given integral,        ∫y sec2tan-1y2 dy1+y4

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A: This question can be solved using the concept of changing proportional relations into equality.

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Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96, 1.02)...

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Q: Rea -10 -5 10 ax -4-2 V2 i -5- 10

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Q: f(x)| f'(x) || g(æ) g (x) -7 16 -4 4 -2 1 -1 1 8 6 2 -1 3 10 11 Assume that f(x) and g(x) are differ...

A: Given query is to find the derivative of the expression.

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Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges diverges Ev...

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Q: Sketch the region enclosed by the given curves. y-Vx-2, x- y- 2 y Find the area of the region.

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Q: Choose the statement below that is FALSE (only 1 is false) and explain why it is false. 6 #1: 12 #2:...

A: Use basic property of integral.

Q: Answer the following questions about the function whose derivative is f'(x)= (x+3) e 2x a. What are ...

A: Let us consider a function f(x). A point x=a is said to be a critical point of f(x) iff f'(a)=0 f(x)...

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Q: A retail outlet for calculators sells 720 calculators per year. It costs $2 to store one calculator ...

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Q: Express what you have learned from the lesson/activities by answering the questions below. 1. Mentio...

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Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

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Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x3 – 3x...

A: Given problem:- Find the absolute maximum and absolute minimum of the function on the given interval...

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Q: Using the function g (x) = 2x + 5x + 6, fill in the blank. The instantaneous rate of change of g (x)...

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Q: x* dx Determine. S V4-x

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Q: a continuous function f such that f(4) = 4, f'(4) = 0, ƒ'"(x) 4 is:

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Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: 1. (a). Find the linear approximation to f(x) = VT at a 81, (b). use it to approximate 85. (c). Comp...

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Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: iven curves. y - x?, y - 2x - x? y

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt 4 4e'+e-' 4dt B 4e'+e N...

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Q: 10. An open box is to be made by cutting a square from each corner of a 12-inch-by-12-inch piece of ...

A: Suppose the side of the square to be cut off from each corner is "x" inch. Therefore, the length of ...

Q: Given the graph of f(x), estimate the following.   (a) Is the graph increasing or decreasing? incre...

A: Given query is to find the read the graph and determine the unknown.

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: 1. Determine if the series cos" () en? n=1

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Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test 4n+1 (a) (i...

A: Since multiple questions are asked in multiple subparts. I am doing the first question only.

Q: If g (x) = sinx dx and g =3, then g (0) is equal to

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: topic- application of derivatives

Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometr...

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Q: population of a community is known to grow at a rate proportional to the number of people present at...

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Q: Ilxě dx

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Q: all numbers c that satisfy the conclusion of the Mean Value Theorem. ) = In x, [1, 4] [1, 4] .16 o s...

A: Topic:- calculus

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We know that vector equation of line passing through two points r¯=a¯+λ(b-a) Here a and b are positi...

Q: dy Example 1.2.15: Let y=6u' + 5u , u=ln x, find dx

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Q: Convert-347 to radians:

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Q: Find the standard form of the equation of the ellipse and give the location of its Type the standard...

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate sin ydy A cosy sin...

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Q: ta = ci + jand b = 8i + 15j. Find c so that the angle between a and b is ound your answers to four d...

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Q: Assume that x = x(t) and y = y(t). Find dt using the following information. dy x² +y? = 2.92; - 2 wh...

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