s) Check the series below for convergence or divergence, State which test you are 1 carefully outline how you carried out the test to get your conclusion. Hint: Rewrite the expression in the form proceeding., (v) En=1 n+1/n ·

Q: what is 3-2=

A: we know that 3-2=3+-2=1

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A:

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A: To determine: Graph of 2x-5y-10=0 using intercepts.

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A: Here the value of f(x) is given at some points. Using this value we can find the value of 'd'.

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A: Given that the investment is $4000. We need to find when would the investment would get doubled if t...

Q: If the slope of the curve y =f-(x) at (4,9) is find f'(9). f'(9) = |(Simplify your answer.)

A: Given slope of the curve is 2/3 y=f-1(x)point is (4,9)9=f-1(4) we can write f(9)= 4 f(y)=x because x...

Q: ∫ln(x)/x dx

A: GIven : ∫ln(x)xdx

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A: The two areas are given where area labeled B is three times the area labeled A. AreaB=3Area A. Simpl...

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A: STATEMENT-1 Given equation is, sinx=22⇒sinx=12 The General Solution of the equation in the interval ...

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A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

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A: Given information: The national debt of a country is given by an expression, Nt=0.5+1.50.01t    

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A: Given graph is,

Q: Use the Integral Test to determine whether the series is convergent or divergent.

A:

Q: Find the limits

A:

Q: What is r' (x) when r(x) = In (x + 2x2 + 3x + 1)? %3D Select the correct answer below: O In (3x2 + 4...

A: Given: r(x)=lnx3+2x2+3x+1 We have to find the r'(x)  

Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its...

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function i...

Q: 27x Find the maximum and minimum values of the function f(x) = x – x+3 on the interval [0,7]. The mi...

A:

Q: Use a half-angle formula to find the exact value of the expression sin 15°.

A: Consider the following formula: cos2x=cos2x-sin2xcos2x=1-sin2x-sin2xcos2x=1-2sin2x2sin2x=1-cos2xsinx...

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A:

Q: Let a = (4, 1) and b = (2, – 2). Find the projection of b onto a. proja

A: We have to find projection of b→ onto a→ for given vectors a→=4,1 and b→=2,-2 We know the projection...

Q: -5 -4 -3 --1 1 2 3 4 5 -2 The function graphed above is decreasing on the interval 1. 3.

A: from the graph  in interval -∞, -2, function increase and in the interval -2, 2, function decrease A...

Q: I need help evaluating this integral

A: Given: I=∫6+3y22dy we know that a+b2=a2+2ab+b2                                 ..1

Q: 18. Find the most general antiderivative of the function. a. f(x) = -9x² +10x %3D 8. b. f(x) = + 15 ...

A: Given :       f(x)=-9x2+10x      f(x)=15x4+8x5f(x)=4 sinx3 tanx

Q: 7. If the line 3x - 5y = 7 is tangent to the graph of f at the point where x = 4 then lim А. B. С. 3...

A: Given line, 3x-5y=7 It can be written as 5y=3x-7  y=35x-75

Q: The number of times a new pop song has been downloaded t weeks after its initial release is given by...

A: The given function is: ft=31000001+200e-0.55t                                  …(1) Differentiate th...

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A:

Q: I need help with solving for indefinite integral

A: Given- ∫6x3-6·x23dx To find- The value of the indefinite integral. Concept Used- To simplify the abo...

Q: 6. A quadratic function y = x2 – 12x + 11 is intercepted at right angles at the point (3, –16) by an...

A: A quadratic function y=x2-12x+11 intercepted at right anglesat the point (3,-16) by another curve .T...

Q: Thanks

A: we have to evaluate the function ∫34x3-27dx for n=10 the formula used in evaluating the trapezoidal...

Q: Let 5 dy Use implicit differentiation to find a formula for da

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Q: Solve by the method of your choice: Fifty people purchase raffle tickets. Three winning tickets are ...

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Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the ...

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A: Given: y=fx=x2 we know that graph of given function is upward parabola, which is symmetric about y-a...

Q: 17. A rectangular storage container with an open top is to have a volume of 10 m3. The length of its...

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Q: Many animal populations, such as that of rabbits, fluctuate over ten-year cycles. Suppose that the n...

A: Given  N(t) = 1000cos(πt5) + 4000

Q: Verify the identity.

A:

Q: the ne unkrnown X. places.) 5· 10* = 3

A:

Q: 16. Evaluate using L'Hospital's Rule. x3-216 a. lim X-6 (In x) b. lim 4x2

A: Given, Part a: limx→6x3-216x-6 If we put x=6 we get an indeterminate form, Therefore by using the L'...

Q: Find the length s of the circular arc.

A: Given Data: The radius of the circle is: r=9 unit The angle of the arc s is: θ=5π/6   The arc s of t...

Q: 5. Suppose the daily total cost (in dollars) of manufacturing x televisions is  C(x)=0.0004x3-0.06x2...

A: Given,      C(x)=0.0004x3-0.06x2+190x+7000                        ...(1)

Q: Evaluate the integral:   ∫ (-6x^2 +6x-36)/x^3 +3x

A: we will solve this step by step=∫-6x2+6x-36x3+3xdxnow solving=∫-6(x2+x-6)x(x2+3)dxfactor the denomin...

Q: using the pictures provided solve For f(x) = 3x −9 3√x, find the domain, x-intercept(s), y-intercept...

A: Note: There are many subparts in the given question so I will answer the first three of them and oth...

Q: Application of Differential Equation

A:

Q: For the function f(æ) = æ5 – 2a³ + æ, find the intervals on which it is concave up. - 3 3 5 3 O [0, ...

A: Given fx=x5-2x3+x

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 7t + 7 cot(...

A: