Use implicit differentiation to find dy or { y' ર્ dx પુ'. 3 2x³ = (3xy + 1)²

Q: f(x) = 1 1+4x2

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Q: Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

A: Given :  1/x + 1/y = 1

Q: 1/x- y²-x² (x+y) 2 2/ dy = [cos(2x + 2y + 6)]dx 3/ (x + 2y + 1)dx - (x² + 4xy + 4y²) = 0

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Q: (x + y)² dx + (2xy + x²-2) dy = 0, y(1) = 1

A: Exact differential equations

Q: Use the properties of geometric series to find the sum of the series. For what values of the…

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Q: Graph the inequality. 2x + 5y + 10 > 0

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Q: Evaluate 2-5 dz algebraically by interpreting it geometrically. O 197.00 O97.50 O 12.00 O 98.50

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

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Q: An object moves along a line, where its velocity function is as described by the graph below. What…

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Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Solve the given initial-value problem. dy y(x) = x(x + 1) I = dx + xy = 1, y(e) = 1 Give the largest…

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Q: Vector a is expressed in magnitude and direction form as a = (√30, 110°). What is the component form…

A: Solving the problem

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 00 st 4 2…

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Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

A: The first investment consists of investing 1430 dollars at an annual rate of interest of 8.7…

Q: dy dx C 3x² 3y² - 4 y(1) = 0

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Determine the Cartesian equation of each of the following Planes :a.) through the Point P(0, 1, –2)…

Q: S dx (x-1)(x-6) || -ln |x-1| - ln |x − 6| 5 +C

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Q: What formula would be used to calculate the middle rectangle approximation Joyx+2dx using four…

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Q: #389 lim X-3 ts x4 -81 x²-7x+12 ブ explain ↑ explai

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Q: 6=(-1,3) and 2 = (-11, -2).

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Q: f(x) = x²-2x-10, (P¹) (5)

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 1. Find the general solution of the differential equations: dr dt (a) = x²(1+t) dy (b) ². + xy =…

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Q: 1. Use the definition of the derivative to find the derivative of, f(x)=6

A: The definition of derivative is y=f(x) is  f'x=limh→0fa+h-fah [As per the guidelines I am answering…

Q: Solve the given initial-value problem. xy' + y = ex, y(1) = 8 y(x) = Give the largest interval I…

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Q: (b) f(x) = 1²³-1² for x = 1 for x = 1

A: it is given that  value of function at x=1 is 1 ,  and at x =1 ,  is not defined

Q: Suppose f(x)= = -4 6x + 6 Then the expression

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Q: 2t True or False, for all values of x, 2 dt = sint O True O False 2x sinx

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Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

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Q: dt t² - 8t + 20 +2

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Q: (с) c= 3 3 тде C= ум —2 (0.0)) dt

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Q: zuibst Tonni bns 2 x + 9. f(x) = (x)\ [1,3]

A: To find the volume of revolution about the -axis for the following function and interval., Note:…

Q: Use the Rectangular Approximation Method to approximate the area of f(x) = x² or the interval [0,8]…

A: Using the Rectangular Approximation Method with  rectangles and taking the midpoint of the…

Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

A: Write the name of the metric system prefix associated with each mathematical factor. Do not use any…

Q: Write the equation of the line passing through the two points (-1,2) and (1, 3) in the form y = mx +…

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Q: 4. Determine the 75th derivative of each of the following functions. b) f(x)= 3 cos 2x

A: We know that the derivative of cos(ax )is -a*sinx(ax)

Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

A: As per our guidelines we are supposed to answer only one question ,please repost the other question…

Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: what type of a calculus calculation is this?

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Q: The cost function for producing x units at a company is C(x) = 54 √√x + 500 dollars. Find the…

A: The cost function for producing x units at a company isTo determine: The marginal cost when 9 units…

Q: Here is a 45-45-90 triangle. 10√ 2 ft Find the lengths of the missing sides. Enter the length of the…

A: The 45-45-90 triangle rule states that the three sides of the triangle are in the ratio 1:1:√2, here…

Q: EVALUATE THE FOLLOWING UIMIT @lim I x70 sin x -18

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Q: 5. The derivatives of three different functions are given below. Determine a possible equation for…

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: f(x) x³. x-1 1 for x = 1 for x = 1

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount