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Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: dx .4

A: we have to find out the integral

Q: x4/3' dx -1 | --

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Q: Using the following vectors, determine each of the following: (Draw a labelled diagram, and give the…

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Q: Match each series to the name used to describe it. a. geometric series b. p-series C. none of the…

A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: (a) -dx = +C. (b) -3 sinx +3 cos x dx = +C (c) -4e dx = +C.

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with…

A: We have to solve the given differential equation

Q: 8. The average value of the function f over the closed interval [0, 3] is 4 and f (x) > 0 for all x…

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Q: Determine which pair of points can represent as the absolute extrema of the given function at the…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: Choose any 5 of the following problems to complete. Solve the problem by following the procedure for…

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Q: a) Determine the position function, s(t), of an object if the acceleration function of the object is…

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Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

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Q: average rate of change

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: Dose the h partial sum of a series a, is as follows. n = 1 -ח n+ 5 Find and n = 1 Step 1 We are…

A: Solve the following

Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

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Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Sketch the region enclosed by the graphs of the given functions. Determine whether it is more…

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Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: Given the graph of y = f (x) below, on the same set of axes draw a graph of y = f"(x). ( the concept…

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Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: Suppose that F(x) = f(t) dt, where 14) = [" V3 + u° du. %3D Find F" (2). F" (2) =

A: We have to find the value of F"(2).

Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

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Q: Find the radian measure of the central angle of a circle of radius 3 meters that intercepts an arc…

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Q: what are the real-life application of differentiation

A: Differentiation refers to finding the rate of change of one quantity wrt the other.

Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: 2. Let g (x) = x e. Let R be the region bounded by y a. Find the area of R. Show your work in…

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Q: If u(t) = (sin(2t), cos(5t), t) and v(t) = (t, cos(5t), sin(2t)), use Formula 4 of this theorem to…

A: We will find the dot product.

Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: A series is defined by Sn = £?=1 5* (a) Find the first 3 terms of the series (b) Use the method of…

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Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) are four points in R3. Let E be the parallelepiped…

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Q: 0 (x-2)k 2k=1 Vk 00

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Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

Q: The function f(x) = 6(x – 5)²/3 increasing on the interval and is decreasing on the interval The…

A: f(x)=6(x-5)23

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: Find the curvature of r(t) = (9t, t2, t) at the point (9, 1, 1). Need Help? Read It Watch It

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Q: V5 + ut du. f(t) =

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Q: The function f(x) = 4 + 6x + 54x has one local minimum and one local maximum. This function has a…

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Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: dx x² – 2x + 2 = dy

A: Given:      dxdy=x2-2x+2⇒dy=dx x2-2x+2Integrating both sides,⇒∫dy=∫dx x2-2x+2⇒y=∫1x-12+1dxLet u=x-1.…

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

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