Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) maximum minimum. f(x) = X 81 + x²

Q: 4. A circular balloon is inflated with air flowing at a r 10cm³/s. How fast is the radius of the…

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Q: Evaluate the integral using the following values. fx d [₁²x³² f³x dx x3 dx = 580, x dx = 20, [² dx =…

A: NOTE: Refresh your page if you can't see any equations. . it is given that use the integral rule

Q: Part 2 - Find the error(s) and solve the problem correctly. Find sin 52° Answer: sin 52 = -0.9866

A: Find the value of Sin(52°)

Q: Find the maximum value of the function f(x, y) = 22x³/2y subject to the constraint x+y=45. Round…

A: We need to find maximum value.

Q: Consider the function f(x) = x5 +5√√x. Let F(x) be the Then F(x) = antiderivative of f(x) with F(1)…

A: Given: f(x)=x5+5x F(x) is the antiderivative of f(x) with F(1)=-1 We are required to find: F(x)

Q: Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated…

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 12 Figure 1 A…

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Q: Find all possible functions with the given derivative. f'(t) = sin 6t+ cos f(t) = t

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Q: Which translations are performed on f(x) = In(x) to graph g(x) = -In(x+3) - 3? Select all that…

A: The parent equation is f(x) = ln(x).

Q: 14. f(x) = = x+5x 5x²-3x+2

A: Given that , fx=-x3+5x2-3x+2 Sketch a graph of the given function.

Q: Consider the function f(x) this interval. 1 on the interval [5, 12]. Find the average or mean slope…

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Q: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

A: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

Q: Use the Lagrange multipliers to find the maximum and minimum values of f (x, y) = 2x + y − 2z…

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Q: In the study of a nonlinear spring with periodic forcing, the equation y + ky+ry² = A cos ut arises.…

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Q: Find the vector component of v = (4, -1,7) along b = (2, 3, -6) and the vector component of v…

A: v=<4,-1,7> and b=<2,3,-6>

Q: Find the lengths of the circular arc. (Assume r = 3 and 0 = 114⁰.) S = 12.87 S 0

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Q: 2. Use chain rule to find the derivative of the following functions (Hint: for function composed…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: 2. Evaluate the integrals below: ₁(x²-2y) dydx a. b. √2 3y ²3 8-2-² dz dxdy 0 x²+3y² /13/13 cosesin…

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Q: Find the lengths of the circular arc. (Assume r = 3 and 0 = 114º.) 123π 10 S 0

A: To find out the arc length shown in the picture.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Consider given function The Taylor series at xo = 0 are given as What are the "a" = f(x)=ex. f(x) =…

A: The coefficient a,b,c & d in the Taylor series expansion of  f(x) = e-x  at X0 = 0 are given

Q: this is incorrect

A: Given that, the triple integral    ∭Ex+y-5zdV,  where  E = x,y,z | -2≤y≤0, 0≤x≤y, 0≤z≤x+y2

Q: Each time your heart beats, your blood pressure increases, then decreases as the heart rests between…

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: By using the definition to find an expression for the area under the graph of f as a limit.…

Q: For the function y = (x2 + 4)(x3 − 9x), at (−3, 0), find a) the slope of the tangent line (b) the…

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Q: g(t) = t t - 1 on [3, 5]

A: First find critical points by g'( t ) = 0 Given function g( t ) = tt - 1

Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

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Q: What is the remainder when x2 + 6 x + 10 is divided by x + 2? O -8 O 16 O O 8 02

A: x2 + 6x + 10 and x+2 Find the remainder when x2 + 6x + 10 is devide by x+2.

Q: The volume of a cylinder of height 8 inches and radius r inches is given by the formula V = 8ær².…

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Q: A water main is to be constructed with a 25% grade in the north direction and a 20% grade in the…

A: A water main is to be constructed with a 25% grade in the north direction  and a 20% grade in the…

Q: Find the average value of the function f(x)=x²-13 on [0,√√26]. The average value of the function…

A: Given: f(x)=x2-13 We are required to find: Average value of the function on 0,26

Q: Let y = sin(5x). If Az = 0.2 at x = 0, use linear approximation to e

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Q: a. b. ₁x+1(x²-2y)dydx √2²√3v18-x²-y² Say x²+3y² dz dxdy

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Q: Let y = 5√T. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1…

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Q: 2tanx – 2 cot x = sin 2x (tan² cot² x) X -

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Q: That's not the correct answer.  Choice D is the answer.

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Q: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per min at the…

A: We have to use the concept of differentiation

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given that:- f(x, y, z) = 9x + 18y + 22; 2x² + 4y² + z² = 502

Q: Evaluate the integral. 2 1² v² + Avº dv /1 V3

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (9x4+8)³ √…

A: To find out the integration by using substitution.

Q: - 3. Use product rule to find the derivative of the following fur (a) f(x) = 3e5. ln(2x² − 3x +π).…

A: according to bartleby guide line we supposed to do only first part of multiple questions. (a)  given…

Q: Find the area of the triangles in spherical Geometry. B 4.5 cm A 5 cm 4 cm C R 4 cm 5 cm P 4.5 cm

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Q: Clemson bookstore sells S(x) books, 2 weeks after the beginning of semester. The price per book in…

A: Let's first define the variables given in the problem:     S(x): number of books sold x weeks after…

Q: Let u = (-1, 1, 0) and v = (-7, 6, -5).

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Q: dx 8. Determine the convergence or divergence of ₂3 Explain which comparison test you used.

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Q: The path traveled by an object (neglecting air resistance) that is projected at an initial height of…

A: We need to find max height.

Q: kindly answer it

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Q: Find the dimensions of a rectangle (in m) with area 1,000 m² whose perimeter is as small as…

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Q: SHOW ANSWER f(x)=1/x, a = -3

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Q: Find all the second partial derivatives. f(x, y) = x6y4 + 4x³y fxx(x, y) = fxy(x, y) = fxx(x, y) =…

A: given  f(x,y)=x6y4+4x8ywe know→(i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0