9. Find f x • e*dx as a power series. (You can use e* = E=o 100

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

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Q: Given the vectors v and u, answer a. through d. below. v= 7i-3k u=i+j+k a. Find the dot product of v…

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Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

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Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: Find the inverse Laplace transform of the function. 1 F(8) : s2 – 8s + 25

A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: The temperature at o point (x, y) on a flat metal plate is given by 7x, y)- S6+ ), where Ts measured…

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and…

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Q: S(x4 – 4x5

A: Evaluate the integral

Q: 81. Area Find the area between the graph of y = sin x and th line segment joining the points (0, 0)…

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Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y³) dx dy = .dy (36–4y)dy (56–…

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Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west.…

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

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Q: Find the particular solution of the differentlal equation that satisfies the Initial condition(s).…

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Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: Find the following definite integrals. sin a dr

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Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: z – 1 ive of f(z) = Leave your ans %3D z +1

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Q: Find dy/dx by implicit differentiation. 12Vxy +4xyVxy –y dy/dx %D x – 2x²Vxy

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Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: Use the law of cosines to determine the length x in each figure. Leave your answers in terms of…

A:

Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression

Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at x = 0. {e2a…

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Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. x2…

A: equation of circle

Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

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Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: Find dx e+5 For the toolbar, oress AL TaE10 (0g

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Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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Q: A power representation of the function f(x) = for-1 < x <1 is 1-x Select one: 9n 9n 9n O none of…

A: The given function f(x)=11-x9 for -1&lt;x&lt;1

Q: Supply the missing integrand and the limits of integration n/2 2sin e r cos?e dr de = | _de 2sin e…

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Q: The value of the triple integral /I| 2x dV where E is the region E inside both x2 + y + z? = 36 and…

A: See the solution in below

Q: (21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a…

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Q: If 53 + 3f(x) + 2x²(f(x))³ = 0 and f(5) = –1, find f'(5). | f'(5) =

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Q: Find the area of the following shape, 212 2/2 9/2

A: We have to find the area of the given shape

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

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