r2 +52−3 - S 2 x (x + 2)² -d.x

Q: Approximate the sum of the series correct to four decimal places. (-1)^ 4^n! S≈ 00 n = 1

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Q: Sketch the graph of the following function. f(x) = -(1/4)x -10 -5 y 10 5 -5 -10 5 square units 10 X…

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Q: Consider the following function. t(x) = 4[1] Step 2 of 2: Find the length of the individual line…

A: .

Q: Find the area in the first quadrant between x² + y² = 1 and √√x + √y = 1.

A: Please see the below picture for detailed solution.

Q: th Find a formula for the n partial sum of the series 5+ th The formula for the nº partial sum, Sn,…

A: Given : Series is given as  5+56+536+5216+... + 56n-1+... To find : Formula for nth partial sum of…

Q: An application of infinite geometric series: The government has decided to give a $1,000 tax rebate…

A: Rebate = $1000 80% of it is spent and is then in the economy to be spent.    infinite geometric…

Q: Find the differential of the function. y = 0³ sin(60)

A: Given,            y=θ3sin6θTo find : Find the differentil of the function.

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: The given region is bounded by the curve y=16-x2 and the x-axis. We have to find the volume of the…

Q: Consider the following equations. y = x² - 4 y = -x + 4 X = 0 x = 2 Sketch and shade the region…

A: To find the solution of the given region trace the given region and after that use double integral…

Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y)=2xy-3y², Po(-7,-3),…

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Q: Given the points X (1,2,-1) and Y (0,3,-2), find a vector collinear with XY having opposite…

A: Given :- Points X1,2,-1 and Y0,3,-2

Q: x²-x-3yx+3y lim (x,y)-(3,1) x²-9y² This option

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Q: (a) x = 2 cos 0 y = 2 sin 0 (c) x = √√t y = √√√√4=t (b) x = √√√4t² - 1/|t| y = 1/t (d) x = √4e²t y =…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

Q: 8. An engineering firm is designing a ski lift. The wire rope needs to travel with a linear velocity…

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Q: part b and c are incorrect for my homework. is there another way this can be done? I tried working…

A: b.

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In (8x)…

A: interval [12,2]

Q: √3 sin(0+1) What are the solutions for the equation cos(0 + π) 1

A: We need to find the solution of the 3sinθ+πcosθ+π=1

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A: Given that, the fencing next to the road costs 5 dollars per foot. The fencing for the other three…

Q: Find f. f(x) = f"(x) = 5ex - 7 sin(x), f(0) = 3, ( 77 ) = 0 EN 2

A: Given :f''x=5ex-7sinx

Q: Find the first five partial sums of the given series and determine whether the series is convergent…

A: On solving the series we by expressed the its nth term we will find the convergence and the sum of…

Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

A:

Q: Consider the function f(x) = x^2 − x −1/2ln(x^2). (a) Find critical numbers and the intervals on…

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Q: 10) f(x) = -2. -8 -6 4 -2 2 -10 -12 +16 +18 x + 1 +1 2 4 6 x

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Q: Isn't the derivative lnx^2 = 2x/x^2?

A: We have to find the derivative of lnx^2.

Q: of ff za Enter the exact answer (as a whole number or fraction). . Find z dV, where E is the solid…

A: We have to find asked limit.

Q: Question 5 What is the exact value of A B C 위~ SI 2 2 ㅠ 200(1) - 40%(1 COS D √6 2

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Q: 5. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? If it…

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Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

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Q: Evaluate the line integral, where C is the given curve. √xy y = 2t, C xy ds, C: x = t²₁ 0 ≤t≤ 1

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Q: Compute dr So cos e dt

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Q: Question 3 cos(0)= Given A B с D -21 5 -8 | 5 7 25 = 16 25 1 <0- 5 and <<, what is the value of…

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Q: Find f. f(x) = f'(x) = = (x + 1) √x X f(1) = 4

A: Given: f'=x+1x, f1=4 To Find: function f(x)

Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -8,…

A: We have to find the value of h'(1).

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: To set up and evaluate the integral that gives the volume of the solid formed by revolving  the…

Q: Sketch the graphs of the functions f and g. f(x) = 9x², g(x) = 2x + 3 -10 O 5 hty Ay X 5 10 -10 -5 5…

A: Area

Q: Suppose that the equation In (3x - y) + x sin (z) = ln3 defines z as a differentiable function of…

A:

Q: Find the directional derivative of f(x, y) = x²y³ in the direction of the vector u = (3/5,4/5) at…

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Q: (c) 1 So ²2-²32 3z ² dz.

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Q: (Q4.) Find the DE by eliminating the arbitrary constants A and B from the equation. 1. x² sin(); 2.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides use the…

Q: Find the domain of the vector function r(t) = Domain: {tl <t< }

A: Consider the given vector function:

Q: 4) Find the point on the line y = 2x + 3 that is closest to the origin.

A: Here given line is: y=2x+3 Find the point on the line that is closest to the origin.

Q: 2

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Q: A woman 6 ft tall is standing near a street lamp that is 13 ft tall, as shown in the figure. Find a…

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Q: Given that sinθ=1/3 and 0<θ<π/2, what is the value of sin(2θ

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Q: (()* 2 2) y = 5. 20 18 16 14 12 10 y

A: We need to draw the curve.

Q: Use Taylor series expansion of an appropriate function to prove the following equalities: (a) (b)…

A: The solution is shown below-

Q: Find the volume of the solid enclosed by the paraboloid z = x2 + y2 + 1 and the planes x = 0, y = 0,…

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Q: evaluate to dx dx integral 540

A: