ax"y" (1, y)-(0, 0) bx"+" + cym+n does not exist when a, b, and c are nonzero real numbers and m Nonexistence of limits Show that lim and n are positive integers.

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A:

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use u Substitution.

A: The given integral is ∫12x x2-9-3 dx. Let u=x2-9. This implies that du=2xdx. Substitute these values...

Q: If $300 is invested at an interest rate of 2.5% per year, find the amount of the investment at the e...

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Q: Let p(x) = x³ + 3x? – 9x + 10. Find two values of æ for which the tangent line through the point (x,...

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Q: Define a critical number of f

A: Critical number of a function is point where graph of function changes its direction. Critical numbe...

Q: Write each expression in the form cekx for suitable constants c and k. се (e 18)*, 19 e

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Q: Series of squares Prove that if ∑ak is a convergent series of positiveterms, then the series ∑a2k al...

A:  ∑ak is a convergent series of positive terms, We should prove that the series ∑a2k also converges. ...

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A: tan θ=oppositeadjacent

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A: The given equation of the curve y=3-x3 Differentiate with respect to t using the chain rule dydt=13×...

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A: T(h)=30.5-2.5hwhere h is the height in kilometersand T is the temeprature in celsius We find the inv...

Q: 3- I want solution of this question with all steps. Big Thumb for you

A: Given data:   The income tax for income less than or equal to 20000$ is t1=10%x. The income tax for ...

Q: Solve the differential equation by variation of parameters. 2y'' − 4y' + 4y = ex sec x y(x) =

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Q: Find the exact value, in radians, of the expression. V2 sin 2

A: sin-1-22

Q: A home pregnancy test was given to women, then pregnancy was verified through blood tests. The follo...

A: Using the formula, PAB=PA∩BPB

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Q: What is ∫3x(x^2+2)^5 dx? Do not include the constant "+C" in your answer. For example, if you found ...

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Q: dx Given y= e-2x? dy when X = 1 and dt 2. Determine the value of dt

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Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in millim...

A: Given that:L=-37.36+3.74t-6.38×10-4t3We use the power rule to find the derivativedLdt=0+3.74(1)-6.38...

Q: I Real and Imaginary Parts Find the real and imaginary parts of the complex number. • 7. 5 - 7i 8. -...

A: If z = a+ib is any complex number then 'a' represents real part of z and 'b' represents imaginary pa...

Q: Write the sum in expanded form. E an where a, =2 and a, +1 = 2an n=0 3 E a, = 0 n=0 (Do not simplify...

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Q: C and d

A: Define f and its first and second derivative as: f=x21-x2, f'=2x1-x22 f''=-23x2+1x2-13.

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A: The given limit is limx→∞x22x.

Q: Can you help me find:  Length  Width  & Minimum perimeter

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Q: Find f (x) and simplify ) /(x) =5'+3r'+4e-2c b) a)%3(r'+3r+2r(2x a) c) /(x)=(4x-2r+ 7)

A: (a) Consider the given function fx=5+3x4+4ex-2ex-lnx7

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Q: Using the given formula for Sn I need help figuring out which of the four choices below is correct a...

A: Sn=3n+14n-n.

Q: Evaluate the integral by interpreting it in terms of areas.  integral 0  to 9  (1/3 -2)dx

A: given that integral 0  to 9  (1/3 -2)dx We need to evaluate the integral by interpreting it in terms...

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Q: Find the exact values of sina, cosa, tana, sinß, cosß, and tanß. 25 7. sing = (Type an integer or a ...

A: The exact values of sinα, cosα, tanα, sinβ, cosβ, and tanβ are determined as below,  

Q: ) A virus is believed to be spreading through a sheep farm according to that equationN = 450 (1/1+24...

A: ) A virus is believed to be spreading through a sheep farm according to that equation Nt=45011+249e-...

Q: Put the equation y=x^2+22x+120  into the form y=(x-h)^2+k:Answer: y=

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Q: Find the limit of the sequence {an} if 1 - (1)/(n) < an < 1 + (1)/(n), forevery integer n ≥ 1.

A: Given: 1-1n<an<1+1n where n≥1 We have to find the limit of the sequence an:  

Q: A cardboard box with a square base and no top is constructed out of 12 sq. in. of cardboard. Assumin...

A: Given, A cardboard box with a square base and no top is constructed out of 12 sq. in. of cardboard. ...

Q: 1. Suppose f(T/3) = 5, f'(T/3) = -3,and g(x) = cos(x)/f(x). Find g' (T/3). Give an exact answer.

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Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $12 the ave...

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Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D ...

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit de...

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Q: Find the interest rate needed for an investment of $3,000 to triple in 11 years if interest is compo...

A: To find the interest rate we use compound interest formula A=p1+rnnt where p is the amount invested ...

Q: Find the solution of the differential equation that satisfies the given initial condition. du - 2t +...

A: The given differential equation is, dudt=2t+sec2t2u Apply Separation of Variables method, 2udu=2t+se...

Q: Use the limit process to find the area of the region bounded by the graph of the function over the x...

A: Given, y = x2 +1 , [ 1,2]

Q: part c

A: Given that a Regal theatre puts on a community theatre productions each season , where x represents ...