T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

Q: Evaluate the expression 3-³6².

A: Given, 3-362

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

A:

Q: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

A:

Q: 117 log(u) | ²7 = = = log (2) logcos 2 2 2 7. Use Logarithmic Differentiation to compute d Vcos² x(x…

A:

Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: Solve dy dr 3y-1x Er

A:

Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: An ordinary differential equation is an equation that includes Only three derivatives 0 single…

A: ordinary differential equation include ordinary differential equation (ODE) contain one variable and…

Q: Solve:  dy/dx=1+e^(y-x+5)

A:

Q: I need a clear answer by hand, not by keyboard | dybala (a) Show that y = cx + 3c² + c and (x + 1)²…

A:

Q: 19.) Differentiate f(x)= (3x - 5)*(7-x) 10

A:

Q: If f(x) = (-3x6 + 3x³ - 1)(2x7 + 3x4 + 4), compute f'(-1). f'(-1) = X

A:

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: An amount of $500 was invested in 1995 and the investment grew as shown in the following table.…

A:

Q: 2. Given g(x) = 2x5 + x² where b is a constant, find the value of b if g'(2) = 180. "

A:

Q: Find f'(x) at the given value of x using the limit definition. (The limit as h approaches zero of…

A:

Q: Evaluate. Choices: y lim f(x) x-1 a. -1 b. 4 5 C. 2 d. Limit does not exist X

A:

Q: xy'= y inx

A: xy'=ylnx

Q: What is the center (h,k) and radius of the cirlce: x2+y2-6x+4y=12

A:

Q: Find the first derivative of the function f(x) = √√5-7x. A. 5 2√5-7x B. 6 2√5-7x C. 7 2√5-7x D. 8…

A:

Q: Find A n B. (Enter your answer in roster notation. Enter EMPTY or Ø for the empty set.) A = {b, j,…

A:

Q: Evaluate ㅠ * 0 sin (9x) sin(5x) dx.

A: To evaluate the following integral.∫0π sin9x sin5x dx

Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {7,…

A: NOTE: Refresh your page if you can't see any equations. . U be the universal set of natural…

Q: у 20 15 10 5 в X

A: Topic:- calculus

Q: Evaluate the limit. lim x →∞ 3 - cos(x) x² + x

A:

Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: 22) Solve the following differential equations. 1) + y² -4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

A: NOTE: Refresh your page if you can't see any equations. .

Q: How did you obtain 8x?

A: Let's solve.

Q: 10.) Find the simplified form of the difference quotient. f(x)=x² + x

A:

Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: Evaluate 6x³ sin² (x¹) dx

A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

Q: 20. 8] n=1 2² 5n+10

A: D'Alembert Test: Let ∑n=1∞un be a series such that, limn→∞un+1un<1 Then this series is…

Q: If ƒ and g are continuous functions with ƒ(5) = 2 and, lim[2ƒ(x) − g(x)] = 5 find g(5)

A: Given:- limx→52fx-gx=5 and f5=2if f and g are continuous functions then need to find g5

Q: 1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2…

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Q: cide whether the limit exists. If it exists, find its value. lim f(x) and (-1)¯ 6 2 T 09 lim f(x)…

A: We will find the required.

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 02 -- 01 3+ 2 Ⓡ O Does…

A:

Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

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Q: : Find the GS of y' + 2xy + y² = a² −1-x²

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Q: (x − 2y + 2) dx + (2x + y − 6) dy = 0 In((≈ – 2) + (y – 2)*) — 4arctan In((z − 2) + (3 −…

A:

Q: K Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - ∞ and ∞o…

A: The graph of f(x) is given in question and we want to find the right hand limit of f(x) ar x= -2

Q: (2xy - 3x²) dx + (x² + 2y) dy = 0

A:

Q: Evaluate the limits. lim 12= X-7 lim X->-1 lim (5+3)= +->5 X= lim (4₂³-3₂) = X-7-1 lim X-7 lim X-7-3…

A:

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 7xy³. fax (x, y) = fry (x,…

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Q: Find an equation for the line tangent to the curve y = (√x + 8)(x4 + 3) at x = 1. y =

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Q: The daily cost per unit of producing a product by the Ace Company is 35+ 0.2x dollars and the price…

A: To find out the revenue function, cost function, profit function, marginal profit.

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 3 O-1 0 1 O 2 T- O Does…

A: