x+4 5 y-2 -5 2+1 1

Q: A cost function is given by C(x) = 200e-0.5. Calculate the marginal cost when x = 3. Give your…

A: Topic- derivative of a function

Q: I'm struggling with variations! Scenario: You build a deck of cards from a collection. In the…

A: You build a deck of cards from a collection. In the collection, there are 7x a cards and 8x b cards.…

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

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Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

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Q: 2.3 2.3.1 2.3.2 Mr. Anderson wants to set up a vegetable garden on the leftover land in his yard. He…

A: Let's solve area for rectangle and circle.

Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Firstly we have to solve for average cost per unit as given in the question.  Then apply…

Q: Which of the ff double integrals has bounds that represents the Region A a. b. y [ -6 y = 2x [ f(x,…

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Q: Which of the ff is a valid double integral? -2x [*f* xy dy dx b. f*f* xy dx dy a. C. -2x ** 1²* xy…

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Q: 4. Given f(x) = 3(x − 2)² + 6, what are the domain and range of f(x)? - a) Domain: {x € R}, Range:…

A: The given function fx=3x-22+6 we have to find its range and domain consider the general parabola…

Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

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Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

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Q: 4. The Daytona 500 is a NASCAR event that requires drivers to complete 200 grueling laps around a…

A: Given data:- Total driving time = 2.5 hours First 65 laps of the race at a constant speed Next 65…

Q: Use the data and story to answer the following questions The table below shows the number of…

A: The number of state-registered automatic weapons and the murder rate for several North western…

Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: Differentiation from first principles F(x)=x^4+1

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Q: Find the exact value of cos (-42) √√2 2 (Type your answer in radians.) COS ...

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Q: If f(x) = 2x² − x + 4, find the following. f(1) f(-1) = f(a) = f(-a)= f(a + 1) = 2f(a)= = f(2a) =…

A: We have to solve above question

Q: Q1. Solve the following simultaneous equation for the complex numbers z₁ and 2₂: Z₁ + 2z₂ = 12 - 8j…

A: Take z1 as x+jy and then simplify.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

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Q: fferent rotations are called ard position by an integer multiple of resul an angle in standard…

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Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

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Q: Homework: Ex dx 7.S √√x + ³√x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 17. tan (cos x)

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Q: 70. S tan-1 x dx 1+x²

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Q: x²-4 x < 2 x-2' ax² - bx + 3,2 ≤ x < 3 a+b, x ≥ 3 2x Explain your reasoning using the three…

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: Evaluate the definite integrals using the graph of f(x) below. (a) (b) (c) [³ f (x) dx = 5 [³ f (x)…

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Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

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Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: In March 2020, the PH coronavirus cases recorded was 2 089. By month of August 2020, the number of…

A: Here is the function we can use to calculate this. P= P° × e^rt Where p= population affected after…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Concept: Concavity: if f''(x)&gt;0 ∀ x∈R implies that f(x) is concave upward  And if f''(x)&lt;0 ∀…

Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: For the following exercises, state the range of the inverse function and evaluate the function at…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: On the Fahrenheit temperature scale, water freezes at 32º and boils at 212º. On the Celsius…

A: Degree and Fahrenheit

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: Evaluate the following integrals: 3.f 2. S dx 4 sin x-3 cos x cos xdx 2-cos x

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Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: 18. Create an equation and sketch the graph of a function using the following table: Time 0 15 30 45…

A: Given qiestion:- Create an equation and sketch the graph of a function using the following table:…

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: dx x (In x)5

A:

Q: The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of…

A: We have to find the value of j.

Q: At the beginning of an experiment, a scientist has 148 grams of radioactive goo. After 105 minutes,…

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Q: Find the limit, if it exists. 4x² lim X--X+2

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Q: find the complex Fourier expansion of the periodic function shown below COS X Cn = -1<x< 2 TL .na…

A: I have stated the used formulas in the solution.

Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.