Use the graph to locate the absolute extrema (if they exist) of the function on the given interval. 3x-² (x-4)² f(x) on (-∞, ∞) 70 60 50 40 30 20 3 10 -S The function has no minimum. The minimum is f(0) = 0. The maximum is f(0) = 0. The function has no maximum. -6 4 -2 0 2 4 6 S

Q: -3x+6y = 9 x-2y = -3

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Q: Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: List all the primes between 20 and 40 in increasing order (in the form 2,3,5,7,9,11). A/

A: I am attaching image so that you understand each and every step.

Q: Use the Laplace Transform to solve the given initial value problem. y" + 2y' + 5y = 0; y(0) = 2,…

A: The given equation is; y''+2y'+5y=0, y(0)=2, y'(0)=-4.

Q: Assume that I and M are real numbers such that lim_f(x) = L and lim_g(x) = M. Let c be x→a x→a a…

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Q: The independent variable x is missing in the given differential equation. Proceed as in this example…

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Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: Exercise 3 Determine the derivative to a function applying a combination of sum, difference and…

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Q: A particular type of bacteria is found capable of doubling in number 49.4 minutes. every N of…

A: Topic- Exponential function We are given,the number N of bactria present after t minutes…

Q: Consider the following infinite series. Complete parts (a) through (c). 80 2 Σ k=1 3K-1 a. Find the…

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Q: Solve the differential equation. y' − y = 9ex

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use the Laplace Transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1,…

A: Let's solve given diffential equation by using Laplace transform.

Q: Suppose the revenue function for a product is given by the function:: R(q) = 7q2 + 14q where q is…

A: I am attaching image so that you understand each and every step.

Q: Solve the system of equations by any method. -2x+8y=6 X - 4y = -3 Enter the exact answer as an…

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Q: If n=600 and p (p-hat) =0.93, find the margin of error at a 99% confidence level Give your answer to…

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Q: Given the function h (x) = 9x¹ 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros:…

A: Need to find out the factors and also the real solutions.

Q: Determine R(t) if R' (t) = (2e²t-4,) and R(2) = (3, −5,0).

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Q: - 1) If / (z −4) (2 + 6) 6 O 10 O 1 O 4 dr = | Adr 2-4 √ + Bdr +6 then A+B = The area under the…

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Q: 2. Determine f'(x). (a) f(x) = √26

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Q: ● Look over Example 4 carefully. Then find the antiderivative fe* cos xdx. Use the back of the sheet…

A: Please see the below picture for detailed solution.

Q: If two integers have opposite parity, then their product is even. Direct proof.

A: Topic = Algebra

Q: Given the function below 3 25 g(x) = X x+1 Which of the following leads to the solution of the…

A: Topic = Function

Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: +In+siny) dy = 0 xcos (xy) + 2y] dy 1. (e+ Iny +) dx + 2. [e²y ycos (xy)] dx + [2x²y 3. (10-6y+e-3)…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t AF)-¹2-1521)²…

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Q: Answer is incorrect

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Q: 5. Suppose a novelty cake has a base which can be described as the region bounded by y = 4x² and y=…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x,y) 8x - 7y 1x + 6y

A: To find partial derivatives,

Q: Find the differential dy and evaluate dy for the given values of x and dx. a) y = arccos x, x =…

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Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: 2x - 4 Find f ' (x) using the definition of the derivative: f ' (x) = lim h>0 f(x+h)-f(x) / h

A: Given query is to find the derivative using definition.

Q: 6.) A function g is defined by g(x)=3e³x, what is g"(2)?

A: Topic = Derivative

Q: The function f(x) = 2 + 6x + 54x has one local minimum and one local maximum. This function has a…

A: The given function is: fx=2+6x+54x-1   First, we have to find the critical point by solving f'x=0.…

Q: af af 6. Find and where f(x,y)=√√/24 - x² - 2y². Interpret the value of fx (2, 2) in əx ду two ways…

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Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle…

A: need to find out the critical point.

Q: The auxiliary equation of y"" - 4y" - 4y' + 16y = 0 is r34r²4r + 16 = 0. The auxiliary equation has…

A: Given; f(r)=r3-4r2-4r+16 , [-0.75,3.75].

Q: use the appropriate compound interest formula to find the amount that will be in each account, given…

A: NOTE: Refresh your page if you can't see any equations. . P=27500 (invested amount) r=3.65%=0.0365…

Q: Q3 Calculate the area of the shaded region in the given figure y Focus point Parabola curve P- 2p 8p…

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Q: Evaluate the triple integral. III TV where G is the rectangular box defined by the inequalities T…

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Q: Given vectors from the origin r = 3a, + 8a, +a, r=a, -6a, + 5a,, and rc = 7a, - 48,, find: (a) a…

A: The cross product two vectors, say a= a1ax+a2ay+a3az and b = b1ax+b2ay+b3az denoted by a×b is…

Q: Suppose that a tank with a capacity of 30 gallons initially contains 18 gallons of pure water. A…

A: Concept: Let w(t) be the amount of salt at any time t Now rate of change of w(t) is the difference…

Q: 81 = 3

A: Given data, 81x=3

Q: Continuing with the same table of values for f(t), is f'(t) increasing or decreasing? t f(t) 1 10 O…

A: From the given table we can see that, the value of function is increasing from t=1 to t=5. Then it…

Q: Find the Wronskian of the given pair: e4t, e-3t/2 O (11/2)^(5/2) O -(11/2)^(5/2) O -(5/2)^(5/2) O…

A: e4t, e-3t/2

Q: 5. Use Lagrange multipliers to find the extreme values of the f (x, y) = x² + 2y² subject to the…

A: By using Lagrange multipliers to find the extreme values of the function fx, y=x2+2y2 subject to the…

Q: H.W: Solve the following equations.:-. 3 ... ex A dy. X. 34).........

A: As per the requirement of the student Integration factor has been calculated.

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

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Q: Assume a population of fish exponentially. A Pond initially with 500 fish. After 6 months there are…

A: Given the initial number of fish is 500. After 6 months, it will be 1000.

Q: r> 0 r< 0 (4₁-2-3) (r, 0) (r, 0) = X X

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