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Q: 1) ? 65° 57°

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A: Explanation of the answer is as follows

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A: This is a problem related to vector calculation. Please find the procedure given below.

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A: Solution:

Q: 1 (a) Use the Integral Test to show that > converges. 2. n' +1 d 1 n = 0 -1 tan dx Hint: 1+x?

A: As per our guidelines, we are supposed to solve only one question.  Kindly post other questions  as ...

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Q: 2. cos(arctan(1)) =

A: cosarc cosx =x

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Q: 1. Determine if the series * (H) cos en? n=1 is absolutely convergent, conditionally convergent, or ...

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Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

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A: Use basic property of integral.

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Q: There are 206 people who have signed up for cooking classes. If there will be 8 people in each class...

A: There are 206 people who have signed up for cooking classes. If there will be 8 people in each class...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: f(x) = 9x + 9 %3D g(x) = x² – 7x – 8 - Find |(2) g. The domain of is z + Question Help: D Video Add ...

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Q: Solve this problem on separate paper. Show all supporting work and include units on your solutions. ...

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

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Q: Draw a graph that is not continuous and not differentiable

A: Let us take greatest integer function. 

Q: 32. Tell if the following infinite series converges or divergesE,)", 8n2

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

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A: To find the sum of the given series  Note : If a series is divergent then we cannot find its sum.

Q: Suppose that f(x)f(x) is a function with f(120)=34f(120)=34 and f′(120)=2f′(120)=2. Estimate f(123)f...

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Q: -1.5z – 7 if I 2 4- -8 -7 -6 -5 -4 -3 -2 -1, 1 23 4 5 6 7 8 -2 -4- -5- -7 8- Clear All Draw: Note: B...

A: Topic:- function

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Q: If 972 cm? of material is available to make a box with a square base and an open top, find the large...

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Q: lim, 00 f(x) = lim, 4 f(x) lim, -1 f(x) = f (4) =

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Q: If 250mg of a radioactive element decays to 190mg in 12 hours, find the half-life of the element.(Ro...

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

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax...

Q: . Tell if the following infinite series converges absolutely (-1)**' 2 or conditionally En=1 5n

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Q: Identify the explicit formula for the nth term of the sequence written below. Note that the first te...

A: To find the sequence

Q: Find

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Q: Use the &-e definition of a limit to show: lim (3- x) = -2 | x5

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Q: ,In sec2(sin2y)dy can be evaluated by writing it as sec2y (A @ In sec2( sin2y) · cos2ydy ®/ sec2(sin...

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Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A i...

A: The given question has been solved in detail. 

Q: 1.25 times ta

A: answer of given question is in step 2