Solve the given differential equation. x?y" – 3xy' – 7y = 0 y(x) = %3D ,x > 0

Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: Choose among the following suitable to define the given integrations: Sx sin x² dx By parts, the red...

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Q: Let f (x) and 8(x) be antiderivative of h (x), The which of the following is true? (A None of the gi...

A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

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Q: Solue the following d.e. 16 tang x

A: Let's find. 

Q: d/dx(x2 + 3x + 5) = 2x + 3 %3D Select one: O True O False

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Given Cost and Price (demand) functions C(q) = 120q + 45000 and p(g) = - 2.6q + 800, what profit can...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the price funct...

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x² ...

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Q: The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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Q: Given the cost function, C(q) = q³ – 30q² + 7200q, Obtain the marginal cost function and determine t...

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the tri...

A: Given that the altitude of a triangle is increasing at a rate of 3 centimeter/ mimute.⇒dhdt=3 centim...

Q: Complete the given 2 sets of tables of values to investigate the limits of a function lim f(x) If r«...

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Q: 8. Evaluate the limit r sin 0 sin(20) lim 0-0 + 2 cos 0 tan 0

A: As per the guidelines we are supposed to solve one question at a time. So please upload the other qu...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у) %3...

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0 For...

Q: Given cost and price (demand) functions C(q) = 100q + 40,800 and p(g) = - 1.8q + 870, what is the ma...

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Q: Let R be the region bounded by the curves y = -a + 6x- 8 and y = 0. %3D a) Use any method to compute...

A: Given :- Let R be the region bounded by the curves y =-x² + 6x - 8 and y = 0. To find:- a) Use any m...

Q: Mom and Dad have decided to put themselves on a strict budget so that the family can save money to g...

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Q: Use a 45° -45° right triangle to find the exact value of the following trigonometric expression. csc...

A: Draw a schematic diagram of given question.  

Q: Find the MacLaurin series of f(x) = sinh(3x) . Express your answer in the form Σan (x - c)^n. The pr...

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Q: Using integrating factor, solve dy/dx - 2xy = x

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Q: dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3...

A: Given query is to find derivative using chain rule.

Q: 4x2+4x-24 Given f(x) = x*-2x3-9x2+18x a.) Find the vertical asymptotes of f and use limits to descri...

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Q: Please show steps clearly, thank you!!

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Use the given equation, which expresses price p as a function of demand x, to find a function f(p) t...

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Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

Q: Multiple choice, questions are connected, I will rate and like. Thank you!

A: Solution: As we can see in given table.

Q: 31-35 fx) = - 2x+4 [-2,2]

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y...

A: The given question has been solved in detail

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y2 - 9z2 where T is measure...

A: Please follow step 2 & 3 . 

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x...

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the po...

Q: Solve  (x+1)(dy/dx) +y = ln(x) y(1)=0

A: We will solve the differential equation. 

Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm/minute. How fast is the volume...

A: Given:- The radius of a spherical balloon is increasing at the rate of 0.6 cm /minute. To find:- How...

Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has uni...

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Q: Find f(a + h) – f(a) lim h→0 h If f(m) = m² – 4m + 6 O 2(2a-1) 4а-2 2а-4 2(a+2) None of the Choices

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x...

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: (2) The number of people in a certain community who contracted a certain disease is modeled by 1000 ...

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Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

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Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the close...

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

Q: Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits ...

A: P(x) = −(2x − 1)(x + 1)(x + 4)

Q: Use the Integral Test to determine whether the infinite series is convergent. -2 n=1 Fill in the cor...

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Q: Also find the solution of the differential equation that satisfies the initial condition y(1)=3(simp...

A: (a). The given differential equation is: x2y'+xy=4

Q: After school, Shaquille and Reyna need to pick up their basketball uniforms and return to school for...

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Q: sin4 Ce3x)

A: Solve by integration

Q: modeled by the function F given by F (t) = 5 + - sin(), where F(t) is measured in 4 gallons per day ...

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Q: Spot the mistake/s in the solution. Tick the box that applies. S sin x h (os x ) dx

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Q: Determine which of the following are ordinary differential equations and which are partial different...

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Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

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