Which of the following represents a possible equation for a sinusoidal function with an amplitude of 4 and a period of ?

Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

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Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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Q: y = ln(4x³ + 7x)

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Q: Let ƒ(x) = x³ + 3x² − 9x + 22. (a) Use the definition of a derivative or the derivative rules to…

A: The given function fx=x3+3x2-9x+22 use the derivative formulas, ddxxn=nxn-1ddxax=addxa=0 where, a be…

Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

A: given that, for every 2 adults,there are 3 children total number of people=275 how many kids are…

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: TU 2. fz sin² x cos4 x dx J

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: 5x9 8. What are the restrictions on the variable for · 2 x + 13x + 42 a) x # 6, x # 7 b) x −6, x‡ -7…

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Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: To determine the maximum area of a rectangle placed between the x‐axis and the function fx=-x4+3.

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: 4. The population, P, of a school of fish t years after being released in a new habitat is given by…

A: The solution is given below

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

Q: What are two numbers whose sum equals to 23, and whose product is a maximum

A: Let the two numbers be x and y.

Q: c) 2 √9x²-16 x² dx

A: Given problem:- ∫9x2-16x2dx

Q: Given r(t) = 9t² i + 18tj and t = 1, find the tangential and normal components of acceleration. ат…

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Q: Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob.…

A: We have to find the power series representation for given function.

Q: Determine the limits of the following Limit/ 1-c05 (22²) Ayo sinx

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Q: 14-Consider the Lie nard equation - (u-x²)x + x = 0. The Jacobian matrix for the linearized system…

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Q: 4) Activity 5: Check for Understanding (10 mins) NOV ob For the equation of y²dy = x(xdy - ydx)e*/y.…

A: We can find the degree of the given function and differential equations.

Q: The graph below shows a company's estimated profits (in dollars) for different advertising expenses…

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: 1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the…

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Q: uppose a company's profits are given by P = x2y, where x is the amount of money they spend on TV…

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Q: A3. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(8) for the given function so that it is continuous…

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Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: Evaluate the Integral using the following values. [°x³ dx = 260, [°x dx = 10, [°dx = 2 [°(22-7x-x²)…

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Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Observe the given graph and answer the each part.

Q: Question 4 Use Laplace transforms to solve the differential equation: d²x di 2 + 4x = cos(21) where…

A: Topic:- application of integration and differential equations

Q: Find the area under the curve y 9 x over the interval [1, 5]

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: Compute the first, second, and third derivatives of r(t) = 9ti + 5 In(t)j + 5e-3tk. first derivative…

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Chain rule:…

Q: Find the exact average value fare of f(2)=√16-2² between 0 and 4, then find an exact number e in…

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Q: Test and k=/ each name K+ k³+1 of all the tests following. you for use. Conver

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Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: 19. 2x³y = y(y² + 3x²).

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Q: Let f(x) = x³ + 3x² (a) Use the definition of a derivative or the derivative rules to find f'(x) =…

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Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: Find the limit, if it exists. 8x Ilm x---x+ 2 Submit Answer

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Q: Please correct me if i'm wrong. The points where f(x) appears to concave downward appears to be…

A: Given , the point where f(x) appears to be concave downward appears to be (-2 , 2.9 )

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Given f(x)=1xa=1

Q: 1. A 6 kg sign is suspended by two strings making angles with the ceiling as shown in the diagram.…

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Q: Aylindrical can has a volume of 167 cm³. Use Lagrange multipliers to determine the dimensions of the…

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Q: 2. d. lim f(x) = e. x-0+ f lim_f(x) = lim f(x) =

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