Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D =Vx2 – 4 – 2 sec + C 지2

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: Suppose f(x,y)= xe figure out tne minim um rate of change of + at the point (3,3). Dont not round,…

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=9, below…

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Q: 2. Find the unit vector in the direction of

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Q: T- sinx) ²(1+ sinx Evaluate: sin'x cosx dx sin 10x -+C 10 A sin 10x +C 10 sin x B 8 sinx+C

A: Given query is to find the value of the integral.

Q: 1-coskx 2. lim kx = 0.

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Q: Find the radius of convergence and interval of convergencE of the power series. (2х — 1)" 26. E 5"…

A: Use ratio test for checking the radius of convergence  and interval of convergence .

Q: For the function, f(x) =x° -7, determine whether it is one-to-one. If the function is one-to-one,…

A: The objective is to check for one one of the given function and if the function is one one find the…

Q: If k is any real number, prove or disprove that sinkx 1. lim x→0 kx 1.

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Q: Question 20 ) dm: -2m cosh2m dm A) True B) False

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: The total number of public electric charging units available for hybrid vehicles has increased…

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Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

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Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

Q: S. (e3* + 1) / (e3* + 1)²– 4 Evaluate: e™dx e sec -1 6. 3x +1 -+C 2 A e +1 e 3r B sec -1 +C 2 C None…

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Q: Solve for the general and particular solution using Laplace Transform y" + y = v2 (cosvEt) %3D y(0)…

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Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: x2 dx Using trigonometric substitution, the integral 2 x²– 4 is equivalent to x12 (A 4 sec20 tano do…

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: 4-z² 2-y а zdxdydz = b Find a + b

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Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

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Q: / [cosh²(2x²) – sinh?( 21²) ]dx is equal to A B dx c) None D x²dx E xdx

A: Let's find.

Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: 5. Describe the difference between the segments AB, BC, and CD. speed A BC D EFG time (t)

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A sin(3e*) - sin(11e*) + C A 22 1 ⑥ 금sin(3e")+ Sin(11e") +C B 22…

A: We have to evaluate the above integral.

Q: /*[cosh?(2x²) – sinh2(2x²) ]dx is equal to A xdx B 2 x²dx D None E dx

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Q: Using the identity sin? 0 + cos² 0 = 1, find the value of tan 0, to the nearest 2 hundredth, if sin…

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Which of the following is one of the correct steps to evaluate cos - dt to obtain the correct indef…

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Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

Q: ,2m +e-2m ) dm =2 | cosh2m dm A True B) False

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Q: Af ter evaluation, if tan 43rdr=tan 3r- ( ?) tan3r +r + C, then find the missing (?) term. 9 A 3 B…

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Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y'…

A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

Q: Of all rectangles of area 100, which has the smallest perimeter?

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