d²y If -y = 3x xy then find dy at the dx² point (2, 6) in simplest form. -

Q: Suppose f(x) 12 X (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum…

A: Please see the below picture for detailed solution.

Q: Consider the initial value problem (ty" Sty" + {y(1) = and y'(1) 2 e Given that y, (t) = et is a…

A: we use reduction of order concept.

Q: You have been given the following differential, equations? which of them linear? na are 2 d²y dx²…

A: The objective is to find the correct option.

Q: Differentiate the function. f(x) = 7x ln(5x) − 7x

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Q: Let h(x, y) = 3 ln (16y² - 12x).

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Q: Assume y(x) is the solution to the following initial value problem given below. Find what y(π) is.…

A: y2dx-csc26xdy=0

Q: A page of 96 square inches is to have margins of 1 inch on either side and 12 inches at the top and…

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Q: The figure below shows the daily sales volume S as a function of time t since an ad campaign began.…

A: Given the graph of a function

Q: Determine if the following series converges or diverges using the integral test. Select the correct…

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Q: A tumor is injected with 0.620.62 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount of Iodine is a=0.62…

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

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Q: Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the…

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Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,200² dollars, and…

A: Note:- According to the company policy we can solve only three subparts so please upload the next…

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

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Q: 10. Find a function f such that f'(x) = 3x³ and the line 24x + y = 0 is tangent to the graph of f.…

A: As we know that: The slope of the tangent line to the curve is equal to the derivative of the given…

Q: Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: Derivate s with respect to t and then equate that to zero putting t= 40 sec

Q: 6y + 7 = 0 Recalling the slope-intercept form  y = mx + b,  state the values of m and b for the…

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Q: Recently, a certain bank offered a 10-year CD that earns 2.43% compounded continuously. Use the…

A: A certain bank offered a 10-year CD that earns 2.43% compounded continuously. We have to find the…

Q: Let f(x, y) = √175 - 3x² - 4y², and evaluate ƒ(3, 0). Please show your answer to at least 4…

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Q: (day) dxs Differential Equation dy +5. dx (x y")6+ (y)5 - 15y = 3 + 4x 2 dx² = ey [(y)2 + (y')³]² -…

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Q: ln(x) (y + ln(x)) dy - ((y ^ 2)/x) dx = 0

A: Separate the variables.

Q: 1+ sin ²x dxx+tan³15x 2sinxcosx 1+ 45tan ²15x (x+tan³15x) (2sinxcosx) − (1+ sin²x)…

A: Topic:- application of derivatives

Q: Which of the following can be considered a "power function?" Select all that apply. f (x) = 2x f (x)…

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Q: Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y - 1)² + 4 (a) Draw the…

A: We can draw level curves.

Q: Given that f'(x) = cos(x), f'(π/2) = 11 and f(7/2) = 11 find: f'(x) = f(x) =

A: Please see the below picture for detailed solution.

Q: Find the line that is tangent to the graph of the equation 2x^y+3xy^2-2x=-6 at the point (3,0).

A: We have to find the line tangent to the given equation.

Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(3)=4, F′(3)=−7 G(3)=3, G′(3)=−4 G(8)=3, G′(8)=−5 then…

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Q: Simplify. State the values excluded from the domain, if any. p²-6p+8 p²-8p+12 P-4 P-6P 6 and p = 2…

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Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given query is to find the point where tangent line is parallel to given line.

Q: Gina is analyzing a population of zigga-zoos that follows the following gompertz differential…

A: See the details solution in below

Q: dy + dx y (x² – 9) ln x y(2) = 1 = sin 2x

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Q: Let r(t) = = (t4, 18) g(t) = sin(71) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A: See this solution in the below.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 ex +…

A: Given query is to the equation of the tangent line at x = 0.

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

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Q: Use implicit differentiation to find the derivative of x^2+3y^3=4 y'=

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Q: If a population is now 7.6 billion people and it continues to grow at an annual rate of 1.4%…

A: Topic- Exponential function Current population=7.6 billion=7.6×109annual rate of growth compounded…

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: To find the maxima, we will find critical points by calculating f'(x)=0.

Q: Evaluate the definite integral: Lo 8 dx

A: Given query is to find the value of the integral.

Q: Leveled Practice What is the graph of the equation y = 2x + 4? 0 ). Plot this point. The y-intercept…

A: giveny=2x+4

Q: A price pp (in dollars) and demand xx for a product are related by 2x^2-14xp+50p^2=6600 If the…

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Q: Evaluate the integral. 2 [ 3² F(x) f(x) dx where f(x) X if -3 ≤ x ≤ 0 = {/²3 - x² 16x² if 0<x≤ 2

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Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

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Q: The direction angle y of the vector (1,1,1) is 45° Cos-¹) 60° 30° BO .CO .D O

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Q: 75 ft X 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

A: Hight of pole = 75 feetx=165 feet

Q: 6 Given f(x, y) = 7x* cos(y¹), find fxy(x, y) =

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: If −y³ + x³ - 4x² + 1 = 0 then find at the point (3,-2). dy dx Answer: dy dx (3,-2) Submit Answer…

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Q: Calculate M6 for f(x) = 3 · ln(x²) over [1,2]. M6 = ←

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Q: An open box is to be made from a eighteen-inch by eighteen-inch square piece of material by cutting…

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