For the function ƒ (x) = 1 – 1 / (x + 2)2 , find the following: ii ) ƒ ( x + k)

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=5 and ...

A: NOTE: Refresh your page if you can't see any equations. . x=0 with the multiplicity of 2 so the firs...

Q: Let T be the triangular region with vertices (-1,0), (0,1), and (1,0). Use an iterated integral to e...

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Q: Each of the following definite integrals are improper. Determine which converge and which diverge. F...

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: Differentiate implicitly e2zy = y³. Select one: О а. dy ye2ry 2y3 – xe?zy dx O b. dy 2ye2zy dx 3y2 О...

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Q: 3ズる一と find dx dy 17 x° +

A: Answer: As per guidelines we can answer only 1 question so i had answer Q17 below :    

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

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Q: What is the phase shift of F(x) = 3 sin (2x - 4)? 4 right 2 right 2 left

A: Given query is to find the phasse shift of the function.

Q: The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the atmosphere...

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Q: Use the method of disks/washers to find the volume of the solid formed by revolving the region bound...

A: Volume

Q: SOLVE FOR THE FOLLOWING DIFFERENTIAL EQUATIONS. 1.(1+x4)dy + x(1+ 4y2)dx =0

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Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expla...

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Q: sinxtanx/cosx+1

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: Use the product rule to find the derivative of (102° – 72*) (6e" – 7) Use e^x for e". You do not nee...

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Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the nor...

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,           T...

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: 5. Ydx – xdy + x(2 – y)dy = y? eY dy

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Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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Q: Question Evaluate the following integral using a trigonometric substitution. • 14 1 dx 36x2 – 1296 B...

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Q: Evaluate. 25х —31 dx J (x + 5)(x² + 1) %3D

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Q: 5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1 X-...

A: To determine the value of a such that limx→1a-x-8+xx-1...(1) exists.

Q: 5 Suppose u $v are ditferentiable functions of x Given uca) = -3 u'la) =8 Vca) = 12 V'la) =-16 find ...

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) → ...

A: The given question can be solved as shown in step2.

Q: Solve the following problem on separate paper being sure to show all supporting work. Answer any "in...

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Q: 20 Evaluate the integral: da 2 +16 2. (A) Which trig substitution is correct for this integral? Ox =...

A: We will evaluate the given integral by using substitution method as shown below

Q: | log(22 +1) dr d.x

A: Follow the procedure given below

Q: Solve the equation using the quadratic formula. 7x2 = 2x - 1

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Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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Q: 3 e3/x - dp- x2 83.

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Q: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y ...

A: First find value of t using x  then put that value in y

Q: Finance. Suppose that $7,500 is invested at 5.7% annual interest rate, compounded monthly. How much ...

A: Investment is (P)= $7,500  Interest (r)= 5.7% = 0.057  n= 12 find amount in  A) 6 months , B) in 7 y...

Q: By considering, but not calculating, the slope of the tangent line, give the derivative of the follo...

A: We can find the derivative as below

Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

Q: 52-56 Find the limits as x → ∞ and as x → 0o. Use this infor- mation, together with intercepts, to g...

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.?

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Q: nd all valuesx=a where the function is discontinuous. For each point of scontinuity, give (a) lim f(...

A: Given the query is to find indicated limits and discuss the continuity of the function.

Q: f(x)={x^2-8x+16, if x 3 find a and b such that the function f(x) is differentiable everywhere. (HI...

A: Given the query is to find the value of a and b.

Q: C. Find ax and 4. 5x*y'z-y CS Xz = 2x°+y*

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Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

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Q: Calculate the work (in joules) required to pump all liquid out of a full tank. b Assume a = 4 m, b =...

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Q: The half-life of caffeine is 5.5 hours. You drink a double espresso, which contains 128 mg of caffei...

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Q: 25 Evaluate the integral: a +9 (A) Which trig substitution is correct for this integral? x = 3 tan(0...

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Q: X + |

A: topic - indefinite integral

Q: or the given function, find (a) the equation of the secant line through the points where x has the g...

A: Given the query is to  find the equation of secant and tangent for the curve 

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p an...

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: dy 3. 9-49y²

A: To find out the integration. 

Q: Calculate the volume of the solid of revolution (or show why it does not exist) obtained by rotating...

A: We have to calculate volume of solid of revolution obtaining by the rotating the function. 

Q: The total costs for a company are given by C(x) = 5400 + 20x + x2 and the total revenues are given ...

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