Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1) fr+2 if x2 10 Given f(x) = -7 if x<10° determine each of the following. a.) f(14) b.) f(10) c) f(-1) D.

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Q: e+1にん uD!セ-1=ス'e-=メ Determine o Polynomiial with real-ualued coefficients that has the roots: hos th...

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Q: Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of th...

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Q: Evaluate the indefinite integral sin' t cos tdt %3D + C

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Q: Please help! Find y^’’ by implicit differentiation. a) 5x^2+y^2=4 b) 5x^3+4y^3=1 c) x^2+7y^2=7

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Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

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Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

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Q: D. Tell if the function is continuous at given interval. 31-35 f(x) = ; 2.x +4 [-2,2]

A: Given, f(x)=x2/(2x+4)

Q: 31-35 fx) = - 2x+4 [-2,2]

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Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: 2. (cos"B- sin4 ß )?dB

A: ∫cos4β-sin4β2dβ∫(cos2β)2-(sin2β)22dβ∫(cos2β-sin2β)(cos2β+sin2β)2dβ∫(cos2β-sin2β)(1)2dβ∫cos2β2dβ     ...

Q: The total area of a cylinder of revolution is 100pi sq. ft. and the radius of the base is 5 ft. find...

A: We can find the altitude as below and verify the answer given as below.

Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of...

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Q: Express the repeating decimal as a fraction. 2.717171...

A: We can find the answer as below.

Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

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Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

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Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: Given the function g(x,y) : 2.x – y2" (a) Give the equations of the level curves of g at k = -1,0, 1...

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: Let g be a differentiable function such that g (10) 2e and g' (x) 5e-V. What is the value of g (2) ?...

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Q: 11. y x Sin x + (1 -x) Cos x Oa. x Sin x+ 2x Cos x b.x² Sin x ©* Sin x dxSin x+ 2 Sin x

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Q: The value of a particular retirement account is A(t) = 25,000e0.06t dollars after t years. Compute A...

A: Given query is to find the derivative of the function at indicated point.

Q: Which of the following is equivalent to 24 f /4- da O none of these • 12 f(1 -cos 0) dº O 24 f (1 - ...

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Q: 3x+4 lim 2e x→-1

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Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)* Σ k=I V...

A: The given series,       ∑k=1∞(-1)k6k(k+1)

Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use ...

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: 1. Find all possible points of discontinuity and classify each discontinuity as removable, jump esse...

A: This is a limit and discontinuity problem

Q: A. Find an equation of the level surface of f(r, y, 2) = 4.x2 + 22 that passes through the point (1,...

A: Given:     f(x,y,z) = 4x2 + z2      Point: ( 1 , 2 , 3 )

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: All functions with trigonometric functions are integrable

A: Given All functions with trigonometric functions are integrable. 

Q: x + 3x – 1 lim V4r6 – 2x エ→ーx 2.r

A: We have to find limit

Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We ...

Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight incr...

A: We can find the required model as below.

Q: (0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices ...

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Q: Evaluate the indefinite integral ²v cos vdv = %3D + C

A: As we know that; The trigonometric identity: sin2x+cos2x=1 The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; ...

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on...

A: topic - application of derivatives

Q: 10111111110 110101

A: Solution is 10011110110010110

Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: у" — 7у' 3D (2х — 1) sin 2 x -

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Q: Compute the partial sums S2, S4, and S6 of 1 1 + • 6 1 1 + 8 · 10 + + 2. 6 · 8 (Use symbolic notatio...

A: The given series,    12.4+14.6+16.8+18.10+......