Given f(x)=√x-5;x#5 and g(x)=x+3. Find the domain of (gof)(x)?

Q: 25 125 Explain why you think the series - 2 + 5 - .... 2 8 converges to a 32 finite number or…

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Q: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

Q: a cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

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Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

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Q: 22-12x S- To solve -dx, partial fraction is to be employed. What is the most appropriate form of the…

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Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

A: Given query is to apply ratio test.

Q: Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written as…

A: The given integral,  ∫sin-1x dx

Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: y=√√√5-√x

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Q: Find the domain of the vector functions, r(t), listed below. using interval notation. 1 a) r(t) =…

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Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

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Q: (b) lim ∞04x x² x

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Q: √x²+a² =dx = _ (x²+a²)² 3a²x³ +c

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: olve the nonlinear inequality using the Number Line method and Interval Notation. Make sure to test…

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Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: The velocity of a particle moving in a straight line is given by v(t) = t² + 4. (a) Find an…

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Q: Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

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Q: ²1dx = f ( + g(x)) dx, then A + √² g(x) dx is equal to 12. -1 + In(5/2) 1 -1 -1 + In(7) A. B. C. D.

A: The given integral,  ∫x2-1x3+xdx

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

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Q: 1. (a) lim x Find the limit. Use l'Hospital's Rule where appropriate. 3 x + 8 2 x + 2

A: topic - limits a3+b3=(a+b)(a2+b2-ab)

Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: x y 2) W = + , x= cos² (t), y = sin²(t), z = =, at t = 3 3) w = 2 ye* - ln(z), x = ln(t² +1), y =…

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Q: A d B C Ca D b 15x²x³43x - 19 (x + 1)²(x² - 6x +13) Ax + B Slax + lax² + bx+c ff (mx + n)t The…

A: The given integral is  (15x2-x3-43x-19) /[(x+1)2(x2-6x+13)].

Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

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Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: Find the limit. NOTE: Enter the answer using round brackets. 1 lim (12²2 +9.7) = (17.00) 9't

A: Given : A value that a function approaches the output for the given input values Here, it has been…

Q: H-w.4 Find the volumes for the following solids whose Weights are defined by Z(x,y) and bases are…

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Q: I need help on number 12. Thanks!

A: 12. The given differential equation is y'-y=0  .................................. (1) We assume the…

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: Use root test to check the convergence of series.

Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: d Calculate [ri(t)- r₂(t)] and [r₁(t) × r₂(t)] first by differentiating the product directly and…

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Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: The parents of a child wish to establish a trust fund for the child’s college education. If they…

A: Compound Interest Formula:  (compounded continuously) A = P·er·t where t is the time period in years…

Q: 1 Use the inverse matrix -5 5 x + y + Z = 0 5x + 7y + 6z = 4 5x + 8y + 7z = 2 (x, y, z) = = ( 1 -1…

A: Given the inverse matrix is  11-1-52-15-32. The system of linear equations is…

Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1

Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: Let R be the region located at the first and fourth quadrants, bounded by y = x² - 1, y-x-1=0 and…

A: Note: According to our guideline i didn't solved more than three subparts. So, please again repost…

Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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