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Q: Simplify the given expression. ∛16x4

A: The given expression is

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at...

A: Slope of the tangent line is the derivative of the given function at the given point. Now differenti...

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

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Q: find the domains of ƒ, g, ƒ + g, and ƒ . g ƒ(x) = √x + 1, g(x) = √x - 1

A: Now domain f is the set of all values of x for which, Now domain g is the set of all values of x fo...

Q: Consider the following problem: A farmer with 750 ft offencing wants to enclose a rectangular area a...

A: Given that, The fencing encloses a rectangular area is 750 ft. The rectangle divides it into four pe...

Q: = 1 + 16 9. revolving (#1) Find the volume of the solid bounded by about the x-axis:

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be continuou...

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Q: A cone-shaped tank with the tip down has a radius of 10 ?? and a height of 20 ??. We lead water into...

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Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval. Differe...

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: and the parabola the vertical ine The region enclosed by the x-axis y=frx)=3x -x is revolving X=-1 t...

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Q: Integrate ƒ(x, y) = 1/ (1 + x2 + y2 )2 over a. Triangular region The triangle with vertices (0, 0), ...

A: Given Data The function is f(x,y)=1/(1+x²+y²)². (a) The triangular vertices are (0,0), (1,0), and ...

Q: Plot and label the center, vertices and foci of the ellipse a. 4x? + 32x + 9y² – 54y = -109

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: find a parametrization for the curve. the left half of the parabola y = x2 + 2x

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

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Q: Find the limits. Are the functions continuous at the point being approached?

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Q: Q) Find the sequences generated by the following generating functions:- a) F(x) =2/(1-x^2) b) G(x) =...

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Q: EXAMPLE 5 A Limit That Does Not Exist numerically. Investigate lim sin graphically and

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Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is We have to prove ,where the length h of the perpendicular from point B to s...

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to...

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Q: Convert the following polar equation into a rectangular equation. If possible, write the rectangular...

A:

Q: Find the general indefinite integral. Thank you!

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Q: Please solve the question as given in attached picture

A: Since you have posted question with multiple sub-parts, we will solve the first three questions for ...

Q: If ƒ(x) = x + 5 and g(x) = x2 - 3, find ƒ(ƒ(x))

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Q: Linearizations at inflection points Show that if the graph of a twice-dierentiable function ƒ(x) ha...

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Q: Plot each pair of points and compute the distance between them:(a) (0, 0) and (-2, 3) (b) (-3, -3) a...

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Q: 8. Find f(x) dx if S4 for x 2 4 {: for x < 4 f(x) =

A: Given function is

Q: - e d山 e +e==

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Q: Find the indicated partial derivative. f(x, y) = x3y9; fx(5, −1) fx(5, −1) =

A: Partial differentiation of a function with respect to a specified variable can be evaluated by consi...

Q: Sketch the region bounded by the graphs of the equations and find the area of the region . y = ex, y...

A: The diagrammatic representation of the area is,

Q: compute the definite integral.

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Q: Which of these vectors is perpendicular to (1, 2, 3) ?MARK ALL THAT APPLY PLEASE. A) (–1, –1, 1) B) ...

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Q: Please solve the Part (b) and (c) only. No need to solve Part (a). Question is attached below.

A: b) Re-write the system of equations having variable terms on the left side of the equation. Write i...

Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent integr...

A: Given

Q: |89. Let w = f(r, 0), r = Vx² + y², and 0 = tan- (y/x). Find dw/dx and dw/ðy and express your answer...

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Q: z =3−4i

A: Now conjugate of z is,

Q: Supply the details for the proof of the Weierstrass M-Test (Corollary 6.4.5).

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Q: at what x-value does the function y=cot (x) have a vertical asymptotes?

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Q: Question in picture

A: Given data: The given integral is: . The expression for the Green’s theorem is, Compare it wi...

Q: Find the initial velocity of the sky diver.

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Q: Evaluate the trigonometric function. Round your answers to four decimal places cos(−3/7 )

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Q: Let f(x) = cos x. Sketch the graph of y = 2f (3x – 4) for 0<x < 67.

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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: Find the asymptotes of the curve defined by the parametric equationsx=φ(t)=1t−2,y=ψ(t)=tt−1.

A: Given parametric equations.

Q: Evaluate the definite integral.

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Q: Obtain the Taylor series for f(x) =3x2−6x+5 about the point x=1.

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Q: 19. Evaluate ra emax (b²x², a°y') dy dx, Jo where a and b are positive numbers and max (b²x², a²y²) ...

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Q: (a) Consider the integral | sin(5x) dx. Which of the following expressions represents the integral a...

A: Consider the integral: Hence, B is the correct option.

Q: Find ds/dt when θ = 3π/2 if s = cos θ and dθ/dt = 5.

A: Differentiating with respect to t, we get

Q: find the mass and center of mass of the lamina bounded by the graphs of the equations for the given ...

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