curves. Decide whether to integ

Q: Question The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is…

A: A=12bhDifferentiate w.r.t 't'dAdt=12hdbdt+dhdtbSubstitute h=12, dhdt=9, dbdt=5, b=4

Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

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Q: sinx So Sa* y dy dx fi dx dy 3. 4-

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Q: If a student is chosen at random, what is the probability that: Write your answers in percent form.…

A: We have to find the probability.

Q: ·4 2. 3 a) Find lim g(x), lim g(x) and lim g(x) X+1 -2 x→1+ b) Find f(1). c) Is g continuous at x =…

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Q: Example Find the exact area of the surface obtained by rotating the curve y? = x + 1, 0 <x< 3, about…

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Q: 2 f-2 xLo if where 14ーx2 if oLx 42 4 -x² if OL x -2

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: В. (2х 3)sec (x + 3x) D. (2x - 3)sec?(x² + 2x) 6. Look for two positive numbers whose product is 36…

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Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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Q: x – 2 Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A: Solving

Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: 3x dx | sec 2

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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Q: What is the slope of the line 0 = T? (Use decimal notation. Give your answer to three decimal…

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Q: Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1…

A: Fundamental Theorem of calculus:If f(x) is continous function, F(x) is antiderivative of f(x). Then,…

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: Find the remaining trigonometric ratios. Зл T < x < 2 1 cos(x) %3D sin(x) tan(x) %3D %3D cot(x)…

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Q: The following students U= {Hepburn, Dames, Cooper, Rolle, Hanna, Smith, Bain} were classified in the…

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Q: 2 f (x) | 9 (x) 9' (z) -1 1 -2 Let f be the function given by ƒ (x)= g (t) dt, where g is a…

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Q: 35 (2i)² 4i i=1

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Q: х — 2 g(x) x + 3

A: Maclaurin series of the function g(x) is                 g(x) ≈ g(0)+g'(0)x + g''(0)…

Q: Question Consider the graph of f'(x) shown below in blue. Submit your answer to this question by…

A: We will first find the critical point of f(x) by using the graph of f'(x) and then use the second…

Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

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Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

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Q: 4 | (5a' + 4x")dr Find 3

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: Does the following series converge or diverge? 7 Σ n=1 en-1 O The series diverges. O The series…

A: Ratio Test: Let ∑n=1∞un be a series and limn→∞un+1un=L , a real number Then this series converges if…

Q: Evaluate the line integral L(a - )da + (1 + y° + æ")dy, where Cis the circle of radius 2 centered at…

A: We have to evaluate the integral.

Q: (a) Find the MacLaurin polynomial of degree 9 for the function h(x) = ln(1 + x3). (b) Use you answer…

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Q: a) Sketch a possible graph of a rational function which satisfies the following conditions: A…

A: We will sketch the graph of a rational function which satisfies the conditions:∙At least two local…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: We know area of a rectangle= length*width and perimeter of a rectangle= 2(length+width)

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = V +2*dt %3D…

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Q: Write a triple iterated integral in dzdydx and dzdrd(theta) for the solid shown

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Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: 5. y = 4x – x², x = 0 , y = 4 , revolved at y axis -

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Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: Consider the graph of f'(x)

Q: Calculate -1– 2i. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a = b =

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Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

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Q: Find the area represented by the definite int 8. x-2 dx

A: ∫08x-2dx=∫01-(x-2)dx+∫18x-2dx