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Q: 3. Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker an...

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Q: questions

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Q: 6. A street light is mounted at the top of a 15-ft pole. A man 6 ft tall walks away from the pole wi...

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Q: Vx + 9 dx dy The answer should be in the form ' S S(x, y) dy dx, where a < x < band 81(x) < y < 82(x...

A: We will evaluate the double integral. 

Q: Find the area that are bounded by:  y=x2+5x and y=0 from x=−2 to x=1.

A: Given: - The curves are,y=x2+5x and y=0 from x=-2 to x=1 To find: - The area that area bounded by gi...

Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: 18. The graph of the function g on the closed interval [0, 10] consists of four line segments, as sh...

A: Value of function from graph

Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y - xy + 6 ...

A: Given problem:- Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equa...

Q: Use the given conditions to write an equation for the line in point-slope form and general form. Pas...

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Q: wextan' (x *ャッ *ャッ

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: k(1+g)" Suppose you own a rare book whose value at time is given by v(D =k(1+g)", with A.g>0 and osa...

A: Given: The present value is given by PV=k1+gta1+rt Formulas used: ddxxn=nxn-1ddxax=axlnaQuotient rul...

Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x? – 4x + 2 at x = 2 2. f(x...

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Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

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Q: Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate , f(x, y)...

A: The given problem is solved below in detail.

Q: . Find a formula for the inverse of the function and show that fif'(x))=f'(fx)). 4х-1 a. y = V10-3x ...

A:  Note: - “Since you have posted a question with multiple sub-parts, we will solve the first three su...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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Q: lim 2tan (2x) 3n 4

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Q: Question 3 Find k' (x) if k(x) = e* ( 3x5/4 %3D Provide your answer below: K(x) =

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Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine wh...

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Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

Q: im Cesx X200 2.

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Q: If the given function is f(x) = x + 1, then which of the following is the solution in finding the an...

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: Find the area of the shaded regian of the fig- shown below. Area=[JAA LA=d Xdy * Horizantal Slice y=...

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Q: Solve the following equations in Z6 with x expressed in both standard and non-standard names: xx [5]...

A: We have to find 1 and 2)

Q: 10, The ventices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A. a...

A: Here, the triangle with the given vertices is:

Q: Use the ALEKS calculator to evaluate each expressic Round your answers to the nearest thousandth. Do...

A: As we know that; The logarithmic properties; 1). logaxb=b·logax 2). logcab=logca-logcb   Given: (a)....

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = V7x +3...

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Q: Find the inverse s of -6854 modulo 979 (note that 0ss< 979). Justify the existence of the inverse be...

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Q: du What is the value of u, given the equation equal to? A. x² В. 4 С. 6 D. none of the above

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Q: 7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylin...

A: let r be the radius of cylinder    h be the height of cylindergiven drdt = 1 mhrdhdt = -4 mhrwhen r ...

Q: 3- 5V+811 lim -00 2/2+2-162 t3-5v

A: After initial observation, I can see there is difference of variable in the limit 'x' and variable i...

Q: À searchlight is trained on the side of a tall building. As the light rotates, the spot it illuminat...

A: Given problem:- A searchlight is trained on the side of a tall building. As the light rotates, the s...

Q: Question Find the derivative of f (x) = log, (4x* + 3x) at the point .x 1. %3D Enter an exact answer...

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Q: Find the centroid of the region in the first quadrant that is bounded above by the lines y = 2x and ...

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Q: Consider the function. f(x) = -2x3- 12r2 - 24x 15 Step 2 of 2: Determine the open intervals on which...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 Pa(x) =

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=ln7+d...

Q: 2x+1 7. S; (x+1)(x²+2) dx

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Determine the auxiliary equation and corresponding solutions for: y’’ + 6y’ + 9y = 0. Then, compute ...

A: Solved below

Q: 1 6. S dx (x+1)(x2+1) 2x+1 -dx 1. Jx+1)(x²+2) 8. S² х*+3х-1 dx x3-1 (x+1)dx 9. S x(x2+1) 6x2-17x+25 ...

A: Given

Q: Consider the series 00 Σ n3 n=1 1 Is it possible for this series to be conditionally convergent? a. ...

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Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx  

Q: (6 points) Delermine whether the series is convergent or divergent. If it is econvergent, fin um.

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Q: Evaluate the integral. 8 sinh O 8 sinh c sin sinh 즐

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Q: Graph of f The graph of the function f shown above has horizontal tangents at x = 2 and x = 5. Let g...

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