The cost (in pesos) of producing x toys is given by x² + 100x + 2000, while the price (in pesos) of each toy if there is a demand for x units is given by p(x) = 550 - 0.5x.

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)

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A: Given equation of polar curve, r=6 sinθ

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nidi What is the…

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Q: How much will Software E cost you in the long run? $[?] Satisfied 75%. $0 $6,000 Software E Software…

A: Based on the given data we need to find the cost of the software E. This can be evaluated as…

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞ in…

A: let B=limx→∞(5x159x13+31x15)

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Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 # x=3 Q C (a) The…

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Q: Calculate 3 (c COST + i sin COS the argument from 0 ≤ 0 < 2π. }] and express the answer in simplest…

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Q: The figure gives the time it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph to 100 mph,…

A: The graph plotted gives the times that it takes a Mitsubishi Eclipse GSX to reach speeds from 0 mph…

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A: hx=x3+3x2+7 on -3,2

Q: Evaluate the limit. lim √-2x +3 x-4 O-2√19

A: Given expression of limit  limx→-4-2x+3

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Q: Use the graph of the quadratic function f to determine the solution. (a) Solve f(x) > 0. (b) Solve…

A: Explanation of the answer is as follows

Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 (a) The solution…

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Q: ds dt |₁=5 m/s

A: We know that the speed formula =sqrt((dx/dt)^2+(dy/dt)^2)

Q: 7. Use Rolle's Theorem to show that the equation has one and only one solution No graph's! x³ + 3x +…

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Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=50x² +10x+1 (Simplify…

A: To find the complex zeros of the quadratic function. To graph the function. fx=50x2+10x+1

Q: Given vectors u =(−3, 2) and v = (6, 7), find the sum u + v and write the result in component form.

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

A: Degree of the polynomial is 4, zeros are 2-2i and 5 multiplicity 2. Since complex roots occur in…

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Q: IT y = -x + 6 y 6 ett 2 2 dx = 4 6 X

A: We have to find the area bounded by the curve and fill the boxes

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A: The population of trout in a certain lake after t years from now is given by the…

Q: Find the scalar and vector projections of b onto a. a=3i-j+4k, b=j+k

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Q: The cost (in pesos) of producing x toys is given by x² +100x + 2000, while the price (i pesos) of…

A: The cost of producing x toys is given by x2+100x+2000The price of each toy is given by px=550-0.5x

Q: Find the domain of the function. f(x)=√3x-9 The domain is. (Type your answer in interval notation.)

A: given function is f(x)=3x-9

Q: 2 If f(x) = 3x5 + 5x² + 7x +3, find the second derivative, f"(x).

A: To solve the following

Q: -2 6 2 0 (0, 3) The graph of f(x): B) lim f(x) = x 0+ = 2 (3,2) (3, 3.141) 2x² +3 sin(x) +3 -2x + 8…

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: Find sin(0); if sec (0) = 2, with 0 in quadrant IV. Give a reduced answer in exact form. sin (0) =

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Q: Consider the given vector field. F(x, y, z) = xyz i-x²y k (a) Find the curl of the vector field.…

A: Given vector field F( x , y , z ) = xyzi - x2yk

Q: 5) Use the comparison property of integrals below If m≤ f(x) < M for a ≤ x ≤ b, then m(b − a) ≤ f…

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Q: (1) (2) Find the points on the curve where you have a horizontal tangent line for the function…

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Q: y" 7. f(x, y, z) = 2x + 2y + z; x² + y² + z² = 9 f( X²

A: We have to find the maxima and minima of the given function using Lagrange's Multiplier. For this we…

Q: A hummingbird needs 10 grams of sugar and 8 grams of protein each day. One honeysuckle flower…

A: NOTE: Refresh your page if you can't see any equations. . x=number of honeysuckle flower y=number of…

Q: Convert the complex number −6+2√3i into polar form. Express the angle using radians in terms of over…

A: given complex number is -6+23i and we need to convert it to polar form.

Q: cep and indicate where tables were used in a step. No points will be given fo riting the answer. 2y"…

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Q: Find the average value gave of the function g on the given interval. 8 1+ t²' gave = g(t) = [0, 9]

A: The function isgt=81+t2 ; 0,9

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A: The given series is: ∑m=2∞ 74m

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Q: SECTION EXERCISES 2.3 1. The average hourly wage paid to U.S. workers for selected years from 1970…

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Q: 5. Determine the limit of each of the following functions if they exist: a) lim x-3 x²+2x-15 x² -9…

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Q: 1. For the following systems (a) x' = 2) x 1-2 2 5

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x +4. Then use the factor…

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