dy Find for c(t)= (Int2t, t²-t) at the point t = 2. dx dy dx |t=2=

Q: Find the domain of the function. f(x)=√3x-9 The domain is. (Type your answer in interval notation.)

A: given function is f(x)=3x-9

Q: List the zero's of f(x) = x³ +3x²+2x.

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Q: Consider the volume of the solid generated by revolving the plane region about the y-axis. y = √x =…

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Q: 6) lim X-0 x3 - 6x +8 X-2 A) -4 B) 4 piecewise function is given. Iso the mu C) 0 D) does not exist

A: limx→0x3-6x+8x-2

Q: 5 Use the linear equation y =(x- x - 32), where x is the degrees Fahrenheit and y is the degrees…

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x +4. Then use the factor…

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Q: Find an equation for the graph sketched below f(x). = 6- 5 4 -6 o

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Q: Write out the first four terms of the Maclaurin series of fif f(0) = 6, f'(0) = 3, f" (0) = 12, f"…

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Q: o Find the equation of the tangent line of y = 7e* at xo = 0. (Use symbolic notation and fractions…

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Q: M8

A: Use the Ratio test

Q: 3. Perform the line integral: Izyds, where the curve C is the straight line segment from (1,1) to…

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Q: Part a was marked incorrect=( I also need parts d,e, and f please!

A: The population of trout in a certain lake after t years from now is given by the…

Q: Find f'(x) for the following function. Then find f'(2), f'(0), and f'( − 7). f(x): = - 6 X f'(x) =…

A: f(x) =-6/x Find f'(2), f'(0) & f'(-7)

Q: IT y = -x + 6 y 6 ett 2 2 dx = 4 6 X

A: We have to find the area bounded by the curve and fill the boxes

Q: Evaluate the integral. √² (2²₁ + EVE-6₁ +1 i+tv/t - 6j + t sin(mt)k)dt

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Q: Find the parametrization for the line through (–6, 11) and (7,21). (Use symbolic notation and…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: The curves y=lnx and y=lnx and y=2lnx and the line. line X=e, in the first quadrant? dutor ans; I…

A: Given  The curves y=lnx and y=2lnx and the line x=e, in the first quadrant.

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A B C -39,364 -19,684…

A: the terms are -4,12,-36,108..... find the sum of the first 9 terms ?

Q: f(x) = e-5x, a = 0 OA) 1-5x + 2²-125³ 2 6 OB) 1-5x + 22²-15³ 2 3 OC) 1-5x + 2²-1¹ 25x2.125x3 18 OD)…

A: fx=e-5x Taylor polynomial  at x=a=0⇒fx=f00!x0+f'01!x1+f''02!x2+f'''03!x3+.....

Q: Determine (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the…

A: A graph of the quadratic function is given, we have to find its range, intercepts and symmetry.

Q: Use Euler's Formula to express each of the following in a + bi form. (Use symbolic notation and…

A: -e3π4i               e2πi            7ie-π3iTo find : Express in a+bi form.We know that,…

Q: what does the following integral equal? 10 √ [4f(x) + 69(x) — h(x)]dx = [ -77 -10 T f(x) dx = 14 77…

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Q: (a) Choose the appropriate substitution for a in terms of using the above (b) Determine dx in terms…

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Q: I+tu ug LU Σ 18

A: By using the integral test to determine whether the following series converges. ∑n=1∞ 5nn2+1

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. x-1…

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Q: dy 2xy Which of the following is the solution to the differential equation dx x² +2' with the…

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Q: -In ( + C) = n u' (x) = e6x-5u

A: Use seperate the variable

Q: A poster is with 210 in 2 bottom of the in inches arca of an arco at the margins 2 inch margins and…

A: The area of the poster is 210 sq inches. let the length and breadth of poster are x and y…

Q: A population numbers 15,000 organisms initially and decreases by 5.6% each year. Suppose P…

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Q: Write an equation (any form) for the quadratic graphed below 15

A: Given: parabola with vertex (3,3) and passes through point (1,1) To find: Equation of parabola

Q: Approximate the area above the line y=0.5 and bounded by the Curve y=Sinx Using Simpson's Rule

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Q: Given the demand function D(p) = √250 – 3p, - Find the Elasticity of Demand at a price of $16 At…

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Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A: fx=14-x

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(9) 2 1 -1…

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Q: Consider the following curve. r² = sin(20)

A: We have to find out the area of the shaded region.

Q: If 28200 dollars is invested at an interest rate of 7 percent per year, find the value of the…

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Q: For f(x) = what value C₂ 8, x2-16 (x+4)(x−5)' of c X = x = 1 otherwise is the continuous at x =…

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

A: To approximate the area under the curve over the specified interval by using the indicated number of…

Q: A Box Constracted Card or Cutting Corners with an from a board out T each and find the largest open…

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Q: 1 3 4 3 2 1 1 2 3 + To find the blue shaded area above, we would calculate:

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Q: Find all critical numbers for the following function. Then use the second-derivative test on each…

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Q: dy dx Find for the parametric curve c(t) = (t-¹ – 3t, 4t³) at the point t = 2. - (Use symbolic…

A: Given: Parametric curve c(t)=(t-1-3t,4t3) We are required to find: dydx at t=2

Q: 1. Find the first line ONLY of the derivative showing the product rule. a) y = (- 2x¹ + 2x³ - 8)…

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Q: 9) There are $320 available to fence in a rectangular garden. One side of the garden is parallel to…

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Q: Write an equation for the function graphed below y TY 9

A: Vertical asymptotes at x=4 and x=-2 so in denominator we have function like  (x+2)(x-4)

Q: Given vector u = (1, 2) and v = (4, -3), determine the value of 4u Click and drag copies of the…

A: The component of u perpendicular to v is referred to as s, while r is referred to as the projection…

Q: lan Dan and Tom share a sum of money. Ian received 5/6 as much as Dan. The ratio of lan's share to…

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Q: 3 ⋅ (x + 1)! − (x − 1)! - (b) lim x→→∞ (x + 1)! + 6 ⋅ (x − 1)! .

A: We have to evaluate the given limit.   First we will expand the factorials then take common part and…