FIND THE AREA LYING ABOVE THE X-AXMS AND UN DER THE PARABOLA y= 4x- x?

Q: Use implicit differentiation to find y', and then evaluate y' for xy-4x° + 16 = 0 at the point (2,4)...

A: The objective is to find y' and y' at (2, 4).

Q: A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the wate...

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Q: find the second derivative of y=[(tane^3x)+(e^tan3x)]

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Q: Determining Convergence or Divergence In Exerci 27-34, test for convergence or divergence, using eac...

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Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: (D² – 1) y = e-2* sin (e-*)

A: I am attaching image so that you understand each and every step.

Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

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Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

A: Solution: Given, In an inverted cone-shaped tank, Height = 9 m and radius =19m The chocolate height ...

Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t...

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

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Q: Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour,...

A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(...

Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

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Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: Use the Comparison Test to determine if the series Σ 5n Cos 2n n3 + n2 + 1 n=1

A: By looking at the series we get that the series is similar to ∑n=1∞1n2. So,                 limn→∞ 5...

Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

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Q: Determine whether the series converges, and if so, find its sum. E-1(-1)k-1 6k-1

A: topic -  series convergence and divergence 

Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

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Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

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Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at infini...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is Lo (the Left-Hand ...

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: To evaluate the integral 4+2a dr, we use Select one: O Substitution with a = 2 sin 0, where Substitu...

A: Given :∫4+x2dx

Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 5x2 – ly?. The xy-trace i...

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Q: Eliminate the parameter: I=e+t,y= e-t

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Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: 88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is...

A: The graph of y=T(x) is the line tangent to the graph of f at x=4

Q: You are designing a rectangular poster to contain 75 in of printing with a 3-in margin at the top an...

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Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

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Q: find the derivative of y=4e^-2/t

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Q: Change the order of integration and evaluate the new iterated integral. int _0^1 int _y^1 (x^2 e^(xy...

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Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y...

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Q: 1. Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e#/2. %3D (a) Determine the form of...

A: topic   -  differential equation 

Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

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Q: 9.13 Solve: X1 + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 with (a) naive Gauss eliminati...

A: As per Bartleby guideline I can solve only one part , if you want other pls repost .

Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a r...

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Evaluate the Integral 3sin2ß) 4 cos2ß dß. A 30 - (4 – 3sin2f) 5 + C (4- 3cos28) 5+ C B 30 -(4- 3cos2...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0&lt;x≤3

Q: A polynomialƒ (x) and one or more of its zeros are given. f(x)=4x - 51x +184x-111 6+i is a zero Part...

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Q: Evaluate by any applicable method. 1/2 5-x dx 4x2+1 O None of the choices. Please refer to my soluti...

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Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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