Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

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Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Find the Area of the heian enciosed b9 the two function s Y=5x² and y=x²+4 %3D 18 -5

A: Given query is to find the area enclosed.

Q: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

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Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: dy 1 y? +y 3

A: We have to integrate.

Q: Please answer the following questions about the function f(x) = 2/x^2-36 Local minima x =…

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Q: Э) у%3 (3x2 + 5х +1)3/2

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Q: x2 +x+1 dx. Use partial fractions 2x2 +2+x³+x

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Q: 9 – 4x2 -dx Evaluate: x2 (품) (A 9— 4г2 2.x sin- f (x) = +C V9 – 4.x2 - 2 sin- (4) + C 2r В f (x) =…

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Q: ind the points of inflection of the graph of the function. (Order your answers from smallest to…

A: Here, the given function is: f(x)=x(x-4)3 So,…

Q: Solve the system of equations. If the system does not have one unique solution, determine the number…

A: In this question , we can solve the system of equation by eliminating the variables .

Q: 3. Find dy/dx x = Vy + Vỹ 1 + Vx 4. Find the second and third derivative of y = 5. Find dy/dx y =…

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Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

Q: S, 3x²e* dx .2

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Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

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Q: Se dt

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Q: 9- 4x2 Evaluate: xp-

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Q: Using integration by parts, which of the following options is true of J x arcsec x dx ? (A none of…

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Q: 5xy = 4x²z – 3yz2; yx and y,. -

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Q: 5xy = 4x?z – 3yz?; yx and yz. -

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Q: Find the Area of the hegion baudded by the ghaphs Of y=x3 and Y = 4x Using integtation Determine the…

A: Given:      y = x3       y = 4x

Q: The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the…

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

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Q: %3D variable expressions represent positive real numbers. Write logarit as a single logarithm with…

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Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: Consider the following piecewise function Quiz Content x² – 1 x 1 x2 Find the value(s) of a for…

A: Use the definition of  continuous function .

Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x2 (in…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: The function f(x)=ex revolved about the x-axis over the interval 0,5

Q: S cot®x csc°x dx Gcot'x -cot"x + cot":) + c B none of the choices Gcot"x - cot "x - cot":) + c…

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Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: Use the following information to complete parts a. and b. below. f(x) = - a = 3 a. Find the first…

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Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x? + xy + y? - 9x…

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Q: Determine the general cquation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A: We have to find equation of ohm plane

Q: Find the absolute extrema of the function on the closed interval. f(x) = 6x + 1, [-1, 2] minimum (x,…

A: Finding extrema of a function. We can find the extrema of a function of function f(x) by  finding…

Q: sin (3æ) cos (4æ)dx 1 -cos (72) + cos (-a) + C 1 1 1 -cos (7x) + 14 -금in (7z) + 글sin (- 14 2 O A 1 1…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx