Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: f(x) = 2 – a? %3D O Odd O Even O Neither

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Evaluate the given integrals. z3+1 2. z+1

A: Explained below 

Q: Calculate the integral, assuming that L' f(x) dx = –2, f f(x) dx = 6, f* f(x) dx = 8. %3D (Use symbo...

A: Answer is given below.

Q: Which of the following limits is equal to a* dæ? :) : A E(3+• lim n k 2 B (3+2 lim C 2k 3+ = lim n D...

A: Given problem:-

Q: 2. (cax-6)*dx

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Q: Given the piecewise function defined below, determine the value of 3 f(x)dx in simplest form. -3x² –...

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Q: Consider the following. u = (-7, –8, 4), v = (-9, 6, 5) (a) Find the projection of u onto v. (b) Fin...

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Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: If g' (x) = f(x) with g(-8) = a, g(0) = b, g(1) = c, and g(3) = d. , express the value of f x + 3 ) ...

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 14, (5, 5, ...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 5 -...

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Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: 1.4. E e-2k k=0 1.5. (-1)* k=0 k+1 1.6. k=53 k-1 M8

A: To analyse the given series.

Q: 2. Evaluate drdy.

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Q: 8. When is the function concave up or concave down? Where are the inflec- tion points? y= a e Ct

A: The function is concave up in (b, d) U (f, g)

Q: 0 minutes. Water begins to be A tank has 10o gallons of water in it at time t pumped into the tank a...

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Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: explain

A: We have to choose the correct option from the given options

Q: Use logarithmic differentiation to find the derivative of the function. sin? x tan4 x y = (x2 + 4)2 ...

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Q: Determine the average value of the piecewise function f defined below on the interval x -2 to x = 3....

A: We have to find average value of given peace wise function.

Q: dx

A: As we have to solve the given differential equation, first write it into variable seperable form int...

Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

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Q: Given the piecewise function defined below, determine the value of | f (x)dx in simplest form. (32? ...

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Q: Va + 4 What is the domain of the following function: f(x) = %3D x- 7 0[-4, 0) O (7, 00) 0[-4, 7) U (...

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Q: For the given cost function C(x) 36100 + 700x + x², First, find the average cost function. Use it to...

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Q: Find when the function is concave up and when it is concave down. (remember it is arctan not an expo...

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Q: A box with a square base and open top must have a volume of 219488 cm. We wish to find the dimension...

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Q: Given vectors u = (3, –6) and v = (-6, 2) , find the difference v – u and represent the difference g...

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

A: First we find dy/dx then put x=0 and y=1

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: What is the height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: A company estimates that the cost (in dollars) of producing x units of a certain product is given by...

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Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She e...

A: Question- A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fr...

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: Let R be the region bounded by the functions f (x) = 2: 4 and g(x) = 4x as shown in the diagram belo...

A: Given, y= 4x y= 2x²-4 Equating the above two equation we have, 2x²-4=4x 2x²-4x-4=0 x²-2x-2=0 x= (-b+...

Q: Determine whether each point lies on the line. x = -4 + t, y = 6t, z = 7 +t (a) (0, 24, 11) Yes No (...

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following co...

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Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln...

A: the given function f(x)=ln x on the interval [1, 6]

Q: -7° L {t!° e•7"} 10

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

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Q: How many terms of the convergent series 6. should be used to estimate its value with error at mos n=...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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