Find by implicit differentiation. dx x² - xy + y² = 1 dx X

Q: -uppose y = anx on an open interval I that contains the origin. Express the n=0 ollowing as a…

A: We have to find out

Q: - Given cost and price (demand) functions C(q) = 120q+44,000 and p(q) = 2q +870, What price should…

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Q: Part I. Find the derivative of the given functions. Show your solution and express your final answer…

A: To find the derivative.

Q: If x² + y² = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Topic = Derivative

Q: ************* Sketch the graph of f and use your sketch to find the absolute and local maximum and…

A: From the graph of a function we can conclude the following.Absolute maxima value is the maximum…

Q: 7 The velocity of a moving vehicle is given by the equation v=(2t+3¹ The task is to: a) Use the…

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Q: Let f(x) e = e-7x² Find F"(x). f"(x) = Find the x-value(s) where f"(x) = 0. (Enter your answers as a…

A: Topic = Derivative

Q: 2x + 9 . For this function there are two important intervals: (-∞, A) Consider the function f(x) 3x…

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Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: In cylindrical coordinates, find the volume of the solid S enclosed by the cone and the sphere as…

A: Given : the cone z=r and the upper hemisphere z=2-r2.

Q: Given: (x³ – 3x − 2) ÷ (x² + 2x + 1) = x − 2 Therefore: (x - 2) (x² + 2x + 1) = x³ - 3x - 2 True O…

A: Let P(x),Q(x),R(x) be polynomials such that, P(x)/Q(x)= R(x) Then doing cross multiplication we get,…

Q: Consider the function f(x) = 4 − 6x² on the interval [ – 1, 4]. Find the average or mean slope of…

A: To use the mean value theorem on the given function

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Finding the differential for w = e^(-y) sin(x)

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Q: Sketch the graph of the given function. Check your sketch using technology. f(x) = x² + 4x + 4

A: The given function fx=x2+4x+4. We have to find the end behavior of the function and sketch its…

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: A bank features a savings account that has an annual percentage rate of r 4.5% with interest =…

A: A bank features a saving account that has an annual percentage rate of r=4.5 % with interest…

Q: Given the series: Σ(-1) k does this series converge or diverge? converges diverges If the series…

A: We can solve this problem by using Geometric series test or Cauchy's nth root test.

Q: The function f(x) has a domain of (-∞, ∞) and a second derivative given by the following. F"(x) =…

A: Topic = Derivative

Q: Consider the function f(x) = = function on this interval. 1 on the interval [4, 7]. Find the average…

A: To use the mean value of theorem for the given function

Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 -6 7+ 2 4 66 Over which interval of a values is f'(x) >…

A: we need to find out the interval of x values where f'(x)>0

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: Simplify the expressions. (Use only positive exponents in your answers.) (a) (9x4)(−5x−3) =…

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Q: Find the derivative of f(x)= x^13+8^x f'(x)=? please answer ASAP and write neatly Thank you.

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Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: 2. Solve the equations a. ( b. ( b. i ) e²x-7e²-8 = 0. ‚) 2(3x+6)_g(1-x) = 0. ) log (x)+log (x − 6)…

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Q: f z dz z+1 Ans. 1 - Int

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Q: Evaluate the integral. S- dx √64x² A. X= OB. x= Which substitution transforms the given integral…

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Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

Q: Evaluate the integral. √2 sin 3 3 sin 6x cos 6x dx √2 sin ³6x cos ³6x dx = 3

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Q: Find the remainder: (3x² + 16x − 2) ÷ (x + 5) 0 O 153

A: Given        (3x2 + 16x - 2)÷(x + 5)  Here we have to find the remainder.

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A: Use logarithmic properties.

Q: using DESMOS calculator, shade the area that is INSIDE of r = 3 + 3 cos (theta) and OUTSIDE of r =…

A: The objective is to  share the area that is INSIDE of r = 3 + 3 cos (theta) and OUTSIDE of r = 3.…

Q: Find y" for y = -2(x²+6)3 y" = x

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Q: Let f (x)= -6e^x +e^-1. Find f' (x). f'(x)=? Please answer ASAP and write neatly Thank You.

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Q: Find the maximum and minimum values of the function g(0) = 30 - 4 sin(0) on the interval [0, π]…

A: To find the minimum and maximum values of the function.

Q: Evaluate each arithmetic series described 6 n=1 (6n – 15) = =

A: Solve the given

Q: Let f(x) = 16-32x2 (a) Find the interval(s) where f(x) is concave up. (Enter your answer using…

A: A point x=a is a point of inflection of f(x) iff f"(a)=0 f(x) is concave upward in (a,b) iff…

Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: Calculate the derivatives using implicit differentiation: and ST of (TU-V)² ln(W – UV) = 1 at (T, U,…

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Q: Consider the function h(x) 2 x5 +3 Write h(x) as a composite function, f(g(x)), determine each of…

A: Given a composite function h(x).

Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: Given, The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) =…

Q: Evaluate the integral. (Use C for the constant of integration.) | Vx2 +4 x²-81 dx

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Q: Use implicit differentiation to find the points where the parabola defined by x² - 2xy + y² + 4x −…

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

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Q: 3.0 Given 2x + 6 3x -6 Find the inverse function f-1, the domain of f-1, and the range of f-¹. f(x)=…

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