(-1)k 9. Does the series Ex=1 +7 converge absolutely, converge conditionally or diverge? A. converges absolutely B. converges conditionally C. diverges

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A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

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A: Given that y=4x7-56x6Solution :if we find critical point then f'=0 and f' does not…

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A: Topic = Limits

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A: The given function, f(x)=x6-x3

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. - (a) lim sin (2x 6)…

A: solution is given below

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A: Th exponential decay model states that At=A01-rt,   where   A0 is the initial amount of the…

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A: We will solve the problem

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A: Option E is not correct .

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A: We have to above question

Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

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Q: Using the method mentioned in Item #7, find the volume of the solid generated by 3 revolving the R…

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Q: Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the…

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Q: If f is continuous on [a,b], and f(x) > 0 then b [²√f(x) dx = a √5°₁ S f(x) dx

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Q: 4 2 dx : 5₂² In evaluating is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

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A: To find out the compound interest.

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A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: 5.12 7 ln 3x dx X

A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

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Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…

Q: R(t) = (2 ln|sec t], sin 2t, cos 2t) Find the distance travelled by a particle along the curve…

A: Let's find distance traveled by a particle.

Q: Determine whether the given 3-tuple (6, -2, 2) is a solution of the linear system: 2x₁-4x2-x3 = 2 x₁…

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Q: Which of the following is not true? ,5 Ⓒ √√² 25²x x² = 11m -√² 25-4x2² dx dx A lim o c+5-0 3 3 dx dx…

A: We have to find out the option

Q: Using Simpson's method Blank 1 Add your answer √xdx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral:

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A: Here we have to determine whether the statement is true or false.

Q: 18. What is the length of the polar curve below? 3πt x = 8cos (0) for 0 ≤ 0 ≤ ³1

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Q: Find a particular solution of ds 1 π = cost determined by s=3 when t == = cos dt 3 ✓

A: Please see see below picture for detailed solution.

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Q: sin(x) L²₁(x² - 4x² + 3x)2 Jax-0 |dx=0 1 (1+x²)² (A) True B) False

A: We have to find the integral

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Q: ds π Find a particular solution of =10csc² 2t determined by s= 2 when t = - dt

A: Given that the differential equation  ds/dt=10*csc^2(2t) Determine by s=2 when t=pai/4  To find the…

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: 5. x x2 + x − 6 dx

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Q: aces)

A: We will find the value of the integral