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Calculus

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Of all numbers whose sum is 46, find the two that have the maximum product. That is, maximize Q = xy...

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Q: Use the graph of the function y = f(x) provided above to fill in tables below (write DNE (does not e...

A: We have to find the limit from the figure.

Q: I'm a little confused with this problem Polar equation: r = 7 sin(theta) Find the tangent line(s) at...

A: Pole is the point where r = 0Put r= 0 to find pole7sinθ = 0soθ = 0 as given θ ∈-π,πNow we will ...

Q: Find (a) parametric equations for the line of intersection, and (b) the cosine of the angle between ...

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . ...

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Q: 1. Use the Ratio Test to determine the convergence of Divergence of the sires. 5" n=1 n*

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Q: The product of two positive integers is 48, and their sum is 14. What are the integers?

A: let two integeres are X and Y product is X*Y = 48 sum X+ Y = 14 detailed solution is given below

Q: Find (x*sin (2))'.

A: Given, x4sinx'

Q: Find the solution y(t) by recognizing the differential equation as determining unlimited, limited, o...

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Q: Find an equation of the plane that passes through the point (1,-1,1) and contains the line of inters...

A: Let P=(1,-1,1) and n1=<1,1,-1> ,n2=<2,-1,3> The vector a for the line of intersection, w...

Q: give solution

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Q: 2. Find the cxoct values of Sin Zu and cos2u

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Q: 1. Does there exist a differentiable function f that is continuous on the closed interval [1, 4], wi...

A: Mean Value Theorem (MVT): If f(x) is continuous on the closed interval [a, b] and differentiable o...

Q: Find the solution y(t) by recognizing the differential equation as determining unlimited, limited, o...

A: The given differential equation is y'=58(3-y) is limited growth differential equation. where 3 is t...

Q: Use any method to find the relative extrema of the function f(x) = x³ + 13x – 7. If there is no rela...

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Q: 15. Use the indicated change of variables to evaluate the double integral ||18xy dA where R is the r...

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Q: Solve the triangle A = 85°, B = 35°, c = 30. Round lengths to the nearest tenth and angle measures t...

A: Given- A=85°,B=35° and c=30 To find- The remaining angles and the remaining sides of the triangle. F...

Q: If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the valu...

A: If x moves from a to a+∆x, then the corresponding change in the value of a differentiable function f...

Q: suppose that the initial mass of a radioactive substance is m0 and the half-life of the substance is...

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Q: Please explain as clearly as possible, thanks.

A: Since, we have to write the equation of the line that is:-(a) Tangent to the function y=3x2-12x+2at ...

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² – I...

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Q: Q8: If L = 100, h = 6, and v0 = 450mph, sketch a graph of dy/dt. What does this tell us about vertic...

A: Given:y(x) = 2hL3x3 + 3hL2x2 (miles) (1)v0 = dxdt (mph) ...

Q: Use intercepts to graph equation. 6x - 3y + 15 = 0

A: As we know definitions of X and Y-intercept:- The X - intercept is where a line crosses the X-axis, ...

Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential e...

Q: Even if it's just adding and stuff. Please show all work, I'm dumb.

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy/...

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Q: Solve : 3x2 - 27 = 0

A: Given, 3x2-27=0 Adding 27 on both sides we get, 3x2=27

Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the par...

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Q: 16.4.03

A: Since, we have to evaluate the line integral given by:-I=∮C xy dx + x2y3 dy -(i)Our aim is to solve...

Q: Find dy/dx and d²y/dx?, and find the slope and concavity (if possible) at the given value of the par...

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Q: Suppose that a you are the owner of a movie theater. You have to decide the price of a movie ticket....

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Q: Solve the triangle a = 5, b = 7, c = 10. Round lengths of sides to the nearest tenth and angle measu...

A: the given triangle is a=5 b=7 and c=10

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream, ...

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Q: For the equation: 7x2 - 6√3xy + 13y2 - 16 = 0, determine what angle of rotation would eliminate the ...

A: Concept; The calculus helps in understanding the changes between values that are related by a func...

Q: Of all numbers whose sum is 52, find the two that have the maximum product. That is, maximize Q = xy...

A: Given, Q=xy ...(1) Where x+y=52⇒y=52-x ...(2)

Q: Use a polar coordinate system to plot the point with the given polar coordinates (-1, 3π/2)

A: Use a polar coordinate system to plot the point with the given polar coordinates -1,3π2 Here r=-1 , ...

Q: Suppose that g (x) is a function that is defined and differentiable for all real numbers x and that ...

A: According to your question, a format of equation what I derived is attached but parallel you have to...