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Q: Find the area of the region R bounded by y2=a2−ax, y=a+x.

A: Consider the given curves Let sides of the equations are the same. Equate right sides, The limit o...

Q: The first term of a geometric sequence is 16, and the fourth term is 4 (a) Find the common ratio r. ...

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Q: A puppy weighs 0.85 lb at birth, and each week he gains 26% in weight. Let an be his weight in pound...

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Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets ...

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Q: Match the logarithmic function with its graph. I II y 1 + III IV 1 ++ (a) f(x) = -log2(x) ---Select-...

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Q: fr? sin (1/x), x 0. Find (a) lim, 0+ f(x) and (b) lim, 0 f(x); then use limit defini- tions to veri...

A: Given

Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which integrat...

A: The given integral

Q: Compute the path integral of F = ⟨ y , x ⟩ along the line segment starting at ( 1 , 0 ) and endin...

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Q: A rubber ball is dropped from a height of 33 meters, and on each bounce it rebounds up 79% of its pr...

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Q: suppose the amount of people eating hotdogs in Europe is given by the function f(t) =

A: Till 1979, there was a span of 9 years in between 1970 and 1979. So, to calculate the number of peop...

Q: y' + 2y = 1 + e−x, y(0) = −4

A: This is the first-order differential equation; it is in the form of Therefore, Then find integrati...

Q: A hawk flying at 11 m/s at an altitude of 132 m accidentally drops its prey. The parabolic trajector...

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Q: Calculus Question

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Q: Use the disk method to evaluate the volume of the solid formed by rotating the area between f(x)=3/(...

A: Given, Interval [ 2, ∞)

Q: Solve the given differential equation by separation of variables. dy = x1- y?

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Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there....

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Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the xy-pl...

A: The diagrammatic representation of the area is,

Q: Solve for y in two ways. y' - 5y = -3

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Q: ' 2 (а) f(x) dx 0. |4 5 (b) f(x) dx 7 (с) f(x) dx 9. (d) f(x) dx

A: (a) The given integral represents the area under the curve from 0 ≤ x ≤ 2. We have to find the area...

Q: Find an equation for the hyperbola with foci (0, ±10) and with asymptotes y: = +x.

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Q: At 2:00 PM a car’s speedometer reads 30 mi/h. At 2:10 PMit reads 50 mi/h. Show that at some time bet...

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Q: Is the integral / A · dr path independent if A = (2x - y)i+ (x + y)j? of Evaluate A · dr around a un...

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Q: Find the first partial derivatives of the function. f(x, y) = x6 + x2y2 + y6 fx(x, y) = ...

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Q: Use the initial condition to find the particular solution of the differential equation. Differential...

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Q: The equation for the moment about the origin of a one-dimensional system is M0 = 5(−3) + 2(−1) + 1(1...

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Q: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number ...

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Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used f...

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: Find an equation of the line with x-intercept x = 4 and y-intercept y = 3.

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Q: Use exponential and logarithmic differentiation to find the derivatives of the following functions:

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new quest...

Q: Show that the function y=e−2x(sin3x+cos3x) is a solution of the differential equation y′′+4y′+13y=0.

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Q: Verify the solution of the differential equation. (Enter your answers in terms of x and C only.) Sol...

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Q: Show that if f is symmetric with respect to x = a, then g(x) = f (x + a) is even.

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Q: if f(x)=integral t^3+5t^2+6, from 0 to x. what is f''(x)=?

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Q: The graph of the derivative f' of a continuous function f is show below.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: (a) Find the intervals of increase or decrease.(b) Find the local maximum and minimum values.(c) Fin...

A: Given Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the ...

Q: Graph the given functions,f(x) = -2x, g(x) = -2x - 1, in the same rectangular coordinate system. Sel...

A: Given: The functions are, To find the points, substitute the values from -2 to 2 for x in f(x) = −2...

Q: Use separation of variables to find the general solution of the differential equation. e*(y' + + 3) ...

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Q: Find the volume of the solid cut from the first octant by the surface z = 4 - x2 - y.

A: The volume of the solid is the double integral of the region R. The domain is restricted in the firs...

Q: Use partial fractions, completing the square, and/or integration tables to find the following defini...

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Q: express the given complex-valued function in the form u(x) +iv(x) for appropriate real-valued functi...

A: Given:

Q: Use integration to find the general solution of the differential equation. (Use C for the constant o...

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Q: use the fundamental theorem of calculus to find the derivative of y=intergral of cos(t)/t^10, from -...

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Q: A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of ...

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Q: How can I find the derivative of an integral. For example g(x)=the integral from 0-x (t+t^3)^.5 dt

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 2 s...

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Q: (d) 6" n=5 8" (e) E gn+4 5" + 3" 6" n=1 II 8.

A: Convergence of geometric series: A geometric series is as

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' = 2...

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Q: Determine any extreme points to ? (?) = (? − 3) ^2 ?^? in the interval [0.4].

A: We find the derivative of f(x)

Q: Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 16x2 + 36y2 – 128x...

A: Given, the equation of a conic: 16x2 + 36y2 – 128x +36y + 121 = 0 We have to check whether it is el...

Q: Find the limit, if it exists

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Transcribed Image Text

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