Find limt →0 1 t+2 2 t

Q: 1. (6399 #7 p. 299) Find the area of the two-part region y = cos x which is also between the…

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Q: Evaluate the definite integral D= D = = 1/3 cos(πw) dw. NOTE: Use exact values only. Do not provide…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

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Q: (6385 #9 p. 263)

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 Ps(x) =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: f(t) = - 16t² + +268t + 10 is the height (in feet) of a ball launched straight up t seconds after it…

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Q: a B с What is the value of cos(a)? b Description of image (in case it has trouble loading): A right…

A: To find the given trigonometric ratio.

Q: tan¹y-sin y y' cos y lim-

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 5 3…

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Q: Determine whether the series converges or diverges. Σ(1+1) (¹ ²0 n = converges diverges e-n

A: We can check whether the given series is convergent and divergent .

Q: A) 13 B) 글 2/3

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Q: Use Stokes' theorem to write a surface integral that is equal to the line integral F. dr around the…

A: Please see the below picture for detailed solution.

Q: 4-3x² x(x² - 4)

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Q: 17. Determine k so that d(x) is continuous -x-k, ifx-1 [2x+ 2k, if x = -1 d(x) =

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Q: ) If cos (y) = and y is in the first quadrant, find cot²2/1.

A: To find the given trigonometric expression

Q: 35. The magnitude of m is 29.2 meters, and the magnitude of n is 35.2 meters. If m and are…

A: We have to calculate the magnitude of sum m and n

Q: Minimize C = 4x₁ + 11x₂ + x3 subject to the constraints X1 + X3 ≤8 2x₁ + x₂ X1 X₁ ≥ 0, X₂ ≥ 0, > 5…

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Q: Complete the chart to give the Example: x² + y²-2x = 0 r²2rcos0=0 r(r-2cos0) = 0 r = 2 cose…

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Q: y = x², y = x

A: Here is the solution:

Q: Find the average value of the function f(x)=x²-7 on [0,6]. The average value of the function…

A: Given f( x ) = x2 - 7 given interval = [ 0 , 6 ] Average value = ∫abf( x )dx

Q: Assume that f is a one-to-one function. (a) If f(1) = 17, find f¯¹(17). (b) If f¹(2) = 9, find f(9).

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Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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Q: Write the sum using sigma notation: A 1+2+3 +4 + ··· + 84 = Σ Β, where B, n=1 A = B =

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Q: Differentiate implicitly to find d2y/dx2.   x3−y3= 10

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Q: Suppose that is an angle for which both of the following are true: 3 5 cos(0) - 4 5 Evaluate the…

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Q: 31 If f.3² f(x) dx = 12, then compute the value of the following definite integral. f(4x + 3) dx

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Q: Find the exact value of each expression. (a) e2 In(4) (b) e-4 In(2) (c) eln(In(e))

A: We can answer all the three questions in the below steps.

Q: Compute the Taylor series of the function around x = 1. f(x) = e7x f(x) =

A: Compute the Taylor series of the function around x = 1. f(x) = e7x

Q: 14) f 118 dx X A) 118x + C B) 59x-2 + C C) In 118 + C D) 118 In x + C

A: See this solution in below.

Q: Determine whether the series is convergent or divergent. co n = 2 O convergent Odivergent 9 n In(n)

A: To determine whether the series is convergent or divergent. ∑n=2∞ 9n lnn

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 196 in². The smallest…

A: let width of rectangle = b length of rectangle = l given Area of rectangle = 196

Q: e 2x³ y = e Y

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Q: Hey, isn't a hyperbola supposed to be the to minus each other instead of plus?

A: yes you are write there is minus sign instead of plus please find below step wise solution

Q: Write an equation for the following conic section: A hyperbola with vertices (-3,-3) and (7,-3)…

A: Answer is in step 2.

Q: A circle is​ growing, its radius increasing by 2 mm per second. Find the rate at which the area is…

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Q: Determine the slope of the tangent to the curve y = x^2 - x at the point with x -coordinate 4. Show…

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Q: 20. Find the foci of the ellipse whose equation is given below. (x+1)² (y+3)² 36 16 -1

A: As we know the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where the center is at h,k. And…

Q: Find the domain of f . (Enter your answer using interval notation.)

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Q: 1 4) y = - = cos(x) 2

A: To sketch the graph for one period and to determine the amplitude and period for the following trig…

Q: What interest is accumulated on an investment of $10,000 left in a bank for  5 years with an…

A: use the simple interest formula for calculating the interest.

Q: x4 (x5 – 4)5 This can be transformed into a basic integral by letting Consider the indefinite…

A: Given query is to find the integral after substitution.

Q: Find the Maclaurin series for f(x) = cos(19x). cos(19x) = Σ n0

A: As we know that: Maclaurin series for the cosx centered at x=0 is given by f(x)=∑k=0∞(-1)kx2k(2k)!…

Q: (c) Study the convergence of the following series n=1 (−1)n+1 2n + (−1)n Is it absolutely…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.)…

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Q: Evaluate the definite integral D = r/2 D = = ST cos(2 w) dw. NOTE: Use exact values only. Do not…

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Q: Find dw ər dw & interms of r&s if w = 2x + 2y + 2z² əs x=y=5r² + In 2s & z = 3r

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: We need to find the Taylor series of the given functions using the definition of Taylor series.

Q: What is the minimal degree Taylor polynomial about x = 0 that you need to calculate sin(1) to 3…

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Q: Use the method of partial fractions to evaluate: 3x + 10 x² + 9x + 20 2 S dx

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Q: Find the exact value of each expression. (a) log₂ (16) (b) log2 2 (7/6) 16 (c) log64(2)

A: To find the exact value of each expression.a log216b log2116c log642