A dilation has center​ (0,0). Find the image of the point ​L(−3​,0​) for the scale factor 2. L'=

Q: (a) Show that every member of the family of functions y = 6 In(x) + C is a solution of the different...

A: solution is given below

Q: 11. Let f(x,y)=x²y+y?cosx, find Vf. einiog O lo 03002 oldizaog Ics

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A: The given series is: ∑n=1∞(n!)n(nn)8

Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

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Q: 1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1

A: We know that, -1 ≤ sinx ≤ 1 for all real x  

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx) y = (tan x + sin...

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Q: 1. Examine the given graph and evaluate the following. a) lim f(x) b) lim f(x) x→1+ c) lim f(x) x-1-...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: Let s(t) denotes height  of a rocket at any time t. Then velocity of the rocket at any time t is giv...

Q: Q1 Choose only two: A) Solve the inequalities and show the solution sete B) Solve the equation: 18 –...

A: In this question we will use basic concepts of inequality. Solution of the above question is in the ...

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: The Pacific halibut fishery has been modeled by the differential equation dt where y(t) Is the bioma...

A: the solution of equation y(t) = M/(1+Ae-kt) where A = (M - y(0))/y(0)            A = (9 * 107 - 2*10...

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

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Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y = ...

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So fo...

Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. In n Σ n + ...

A: Given :∑ n=2∞ln nn+3

Q: X-2 What can we conclude about the function f(x) = %3D X-3 O The function is discontinuous at X = 3....

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Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1– x? and the ...

A: Given:      Region enclosed by parabola y=1-x2 Volume of solid rotated around x-axis is given by    ...

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8...

A: as per guidelines I can only do first 3 subparts

Q: A function y(t) satisfies the differential equation dy =y4-5y3+ 6y2. dt (a) What are the constant so...

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Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: a. Use the definition m,an = lim f(x) - f(a) to find the slope of the line tangent to the graph of f...

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Q: What substitution should be used to solve the integral x²dx 4-9x2 sinu=3x/2 O sec u =2x/3 O sec u =3...

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Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: Question 2 --> Find the Stalionary Values of the fllcwing functions and show wheher they reecesent M...

A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: Q1 Choose only two: x+5 12+3x - 2. VI

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: 3. A ball is launched vertically into the air from a height ofh meters and with an initial upward ve...

A: Given: A ball is launched vertically into the air from a height of h meters and with an initial upwa...

Q: The graph y = cosx, given the domain has x-intercepts at 4

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Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: A given partial fraction Cx +D x² +1 2x A + X+4 (x-1)(x+4)(x² +1) X-a A can be evaluated as: O 15 2/...

A: Given that partial fraction 2xx-1x+4x2+1=Ax-1+Bx+4+Cx+Dx2+1To find : value of ASolution:2xx-1x+4x2+1...

Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

A: The given function,   f(x)=eax

Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

A: topic - exponential function

Q: 2 f(x)=-2cot(x-45)+2 Period f(x) Vertical Shift Horizontal Shift Start End: Increments

A: According to question,Given function,fx = -2cotx- 45o + 2

Q: 2x – x3 da. = |- In(x – 1) + | Ftan-1(x)| + с Given: + J (x – 1)²(x² + 1)' 2(х-1) 2 2x – x3 determin...

A: Find your answer below 

Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

A:

Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: use rules of differentiation, find the derivative

A: Given y=4log3x2

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of ...

A: The given cost function is: C(x)=x3-4x2+8x+50, x>0 where x is quantity.

Q: Suppose f(x, y) = x² + 2æy+ y². Which field plot is Vf? Justify your answer. 鹿

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Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

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Q: For the function y =f(x), it was found out that f(c) = 0 and f'(c)=5. What can be said that x-c ? cr...

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Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in 90...

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Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that L=∫ab1+[f'(x)]2dxTherefore,L=∫011+dd...

Q: What is the derivative of f(x) = e&x + 3? a. f(x) = 8e b. f(x) = e8 C. f(x) = 8e8x+3 d. f(x) = 3e&x ...

A: We find derivative of given function.

Q: Find the Fourier series of the following waveform: f(t) 2 ... -T -T/2 T/2 T Which is defined as 2t f...

A: