23. R = 50x 1 2 x²

Q: 2. The function y = (5x+4) + 4 has a y intercept of 301 75 Determine the value of A. 3. Simplify as…

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Q: To find the blue shaded area above, we would calculate: b [ f(x) dx = area Where: a 1 f(x) ■ Area ■…

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Q: Find f'(x) for the following function. Then find f'(2), f'(0), and f'( − 7). f(x): = - 6 X f'(x) =…

A: f(x) =-6/x Find f'(2), f'(0) & f'(-7)

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: 4. Perform the line integral F. dr, where the vector field is F(x, y) = yi+xj, and the path C is…

A: Fundamental of line integral ∫F.dr = ∫t1t2F( r )r'( t )dt Given F( x , y ) = yi + xj r( t ) = cost i…

Q: Let C be the positively oriented closed plane curve consisting of the line segment from (-3,0) to…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy dx =…

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Q: 1 Σ"=1+z+z²+z³+¹+... It is known that on its interval of convergence. n=0

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Q: a. Compute the present value of an investment that generates income at a rate of 5000te 0.01 dollars…

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Q: Solve the inequality algebraically. 3x³> -12x² List the intervals and sign in each interval.…

A: Solve the inequality

Q: Matt bought a new car for $35 000 and sold it five years later to Martin for $20 000. Assume that…

A: Given: Matt bought a new car for $35000 and sold it five years later to Martinfor $20000. The value…

Q: List the zero's of f(x) = x³ +3x²+2x.

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Q: Suppose the Maclaurin series fƒ(z) is ƒ(z) – Σ (³)*. = I

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Q: The graph of a function is given. Use the graph to find the indicated limit and function value, or…

A: Graph

Q: [ ,20 ' sin (30 ) d0

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Q: 1. Solve separable differential equations exy = e-y +e-2x-y dx a.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 4. Trace the curve: y² = x²-4x-12 x²-2x-3

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Q: Performing the substitution yields the integral 2/(x²- +8) + C du syntax error. Check your variables…

A: the indefinite integral :   ∫ x6 x7+8 2 dx

Q: A 10 ft chain weighs 65 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the…

A: We have to find the work done in lifting the chain.

Q: Find the general solution for the differential equation. dy = = 12xy dx The general solution of dy…

A: dy/dx =12xy Find general solution of dy/dx = 12xy y =?

Q: I+tu ug LU Σ 18

A: By using the integral test to determine whether the following series converges. ∑n=1∞ 5nn2+1

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.005t² +0.9t, where…

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Q: Solve the following homogeneous differential equation: 2y4+ x1 Kya =

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Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: The linear density p in a rod 3 m long is Pave 14 x + 1 Find the average density Pave (in kg/m) of…

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Q: 9 Find the derivative of ƒ (w) = w 10 +5w. What is the domain of f' (w)?

A: The function is given by fw = w910+5w To determine: The expression of the derivative of the function…

Q: Write an equation (any form) for the quadratic graphed below 15

A: Given: parabola with vertex (3,3) and passes through point (1,1) To find: Equation of parabola

Q: A glass door has an aluminum outer frame that is 3.5 cm wide on the left and right side, and 5 cm…

A: The outer frame is 3.5 cm wide on the left and right side . And 5 cm wide on top and bottom. We will…

Q: Let f(x) = (x + 1)e²x. 1. Find the local linear approximation of f at xo = 0. 2. Use your answer…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 3' hyperbola,…

A: The polar equation of a conic section with  focus at origin, eccentricity e and the equation of…

Q: What is the exact value of tan csc

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Q: The force on a particle is described by 8x³ - 2 at a point x along the x-axis. Find the work done in…

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Q: 31. The revenue from producing x units of a product is R = 12x 0.001x² (a) Find the additional…

A: The revenue from producing x units of a product is R=12x-0.001x2

Q: Find the derivative of the following function. f(x) = e⁹x + 7 In (5x − 2) 9x f'(x) = (Simplify your…

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Q: The function f is defined as follows. -3x+4 if x < 1 if xz1 f(x)= 2x-1 (a) Find the domain of the…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find the Le 2t sin 2t + e3³t+²} following Laplace transform.

A: First shifting property L { eatf( t ) } = F( s- a ) L { sinat } = as2 + a2L { tn } = n!sn+1

Q: 3141 What is the value of the expression 5! ? A 3 In

A: find the value of 3! 4!5!?

Q: Use the Maclaurin series sin æ = Σ(-1)"- n=0 1² st t Find the first three terms of the Maclaurin…

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Q: Let the vector v have an initial point at (-5, 2) and a terminal point at (-1,] the vector v and…

A: Initial point -5,2terminal point -1,1

Q: 39. lim int x x-0.01 X 41. lim x→0+ |x|

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x)=x² +6x³…

A: Given function : f(x)=x4+6x3+2x2+54x-63

Q: Determine the location of each local extremum of the function. f(x) = ³-2x²-120x+1 What is/are the…

A: Given that , fx=43x3-2x2-120x+1 Determine the location of each local extrema of the function.

Q: Given the demand function D(p) = 150-3p², Find the Elasticity of Demand at a price of $6 At this…

A: We have to find the elasticity at the given price.

Q: Find for the parametric curve c(t) = (Use symbolic notation and fractions where needed.) dy = dx t=3…

A: C(t)= (t-1-4t,3t3) We have to find dy/dx at t=3

Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

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Q: Evaluate the definite integral. 64 104 7 1 (x + 1) √x dx

A: I=∫1641x+1xdx

Q: Q.4// Solve the following differential equation using the method of undetermined coefficient: -6y +…

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Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: Show whether or not the following limit exists: lim (x,y) →(0,0) xy ³ x² + y²

A: The given limit is lim(x, y)-(0,0)[xy3/(x2+y6)].

Q: n=1 1 + cos n en

A: