1. Find the DE of each of the following by eliminating the arbitrary constants. y = Get + C₂ cosx + C₂ sinx

Q: Find the solution for following variable separable equation: dy/dx = (y²-1)/(x²-1), y(0)=0

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Q: he derivative of a function of ff at xx is given by f′(x)=limh→0f(x+h)−f(x)hf′x=limh→0fx+h−fxh…

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Q: 7. lim √9 - u³ + 2u² 3 41-2

A: Given limu→-29-u3+2u2

Q: | Find the average value of g(t) = t 3+t2 on [1,3].

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Q: 1. For a certain drug to have the desired healing effect and be safe, the amount in a person's…

A: Concept: A geometric series is a series where every term has a constant ratio to its prior term. A…

Q: 1 y=y² +1 2.5 +¹0+ b² = p 3.y" +ty-sin(ty) = 0 Dependent Independent Type: Ordinary/Partial Linear /…

A: A differential equation Y(x,x',....,xn-1)=0 is said to linear if all coefficient terms are of x…

Q: 1 + cos²(x) 1 - cos²(x) dx

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Q: 5-6 The graph of a function f is given. (a) At what numbers a does lim, f(x) not exist? (b) At what…

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Q: Consider the graph shown in the figure, which gives the velocity of an object moving along a line.…

A: The displacement  is the area under the velocity-time graph

Q: Explain what it means to say that lim f(x) = 3 and X 6 X→ 6+ O As x approaches 6, f(x) approaches 5,…

A: Given that limx→6-fx=3 and limx→6+fx=5

Q: uestion 1 Given: x² dy = 4x² + 7xy + 2y2, Find C if y = 1, x = 1 dx

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Q: 2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does…

A: see below the answer and explanation  as per Bertleby I have to solve first three subparts. For…

Q: 1-sin x 1-sin2 S(² 1) ₁ dx

A: To integrate the given function.

Q: Q13:The absolute maximum value of f(x) A) has no absolute maximum B)-2 Q14: If f(x) = (x²-4)² then…

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Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: 5.f (x) = 2sinx – cosx + tanx

A: We have to find the step by step solution for the problem 5.

Q: Find the average rate of change of the function over the given intervals. h(t) = cott a. b. л Зл 4 1…

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Q: 5: If f(x) = x1, g(x)= 3√x-2, then the domain of)(x) is: A) (0,50€.00) B) (0,3)U,00) CR- D) R-{3}

A: Given: f(x)=xg(x)=3x-2

Q: 47. 6 4 2 ++++ -4 -8 y 4 ++ x 4 8

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Q: Sketch the graph of the following function: f(x) = {1, Also, determine the limit as x approaches 2.…

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Q: 23. fsin(Inx) dx = x A) cos(In x) + c. B)-cos(In x) + c. C) sin(lnx) + c. D) -sin(In x) + c. E) -cos…

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Q: Find a formula for each function graphed on the right. a. Select the correct choice below and fill…

A: In this question , we can find equation of the given graph.

Q: How would you do g(f(x)) using the same numbers for f(x) and g(x)?

A: Give the functions fx=xx-5 and gx=-3x we have to find gfx

Q: Question list O Question 1 O Question 2 O Question 3 O Question 4 Question 5 O Question 6 K Let f(x)…

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Q: 'ind ƒ'(x), ƒ¨(x), ƒ³(x), ƒª(x), ƒ¹³(x) if ƒ(x) = (5ax²n – 4b³)(5ax²n + 4bm) where a, m and n are…

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Q: [50 07 -3 204-4] 02 0 1-530 0 0 -3 -6 222 3 2

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). Q to h Ay O (a)…

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Q: multiply (2×+8y)^2

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Q: y = (C1 + C2 x)sinx + (C3 + C4 x) cosx

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Q: Given: 4xdx + ydy + xy2dx + x²ydy = 0, Find C if x = 1, y = 1 1 0 / 1x 2 + 1 = Ln5 = C 0√2 + √5=C 07

A: Given :

Q: Q12: If x + y = 10, then the largest possible product xy is = A)50 B) 25 C) 24 D) 10 B)-2 Q13:The…

A: Solution

Q: K Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: Obtain G.S. [x - y tan-¹)] + x tan-¹) = dx (7) 4 dy 0 O Lnx + Ln sec x dx = C O Lnx + x tan x- x4…

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Q: 3. y" + 8y' +52y = 26

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Q: Q12: If x + y = 10, then the largest possible product xy is = A)50 B) 25 C) 24 D) 10 B)-2 Q13:The…

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Q: dy Consider the differential equation secy + sin(x - y)=sin(x+y). dx Using separation of variables,…

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Q: 1. Let f(x)=√x-2 / x-4 . Show that f(x) has a removablediscotuiti t x=4   2. Given f(x)= √(x+1).…

A: Here we have to find the derivative of a function at a point.

Q: 3. y₁= x² - 4x + 3 3/₂ = -x² + 2x + 3 y 3. -1+ Y₂ 4 1+1 5

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given: (x2 + 2xy - 4y²) dx - (x²- 8xy - 4y²) dy = 0, Find C if y = 1, x = 1 O 1.5 O 2.5 03.5 O4.5 O…

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Q: 1) s(x) = 2x − 4/x2 + x − 2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Use the given graph off to find a number & such that if |x-1| < & then f(x) - 1 < 0.2. y 1.2 1 0.8 f…

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Q: cosx√sinx dx =

A: Our Aim is to solve the question-(8) in which our aim is to evaluate the integral given…

Q: 4. What are the values of the following infinite series? 1 3+ 1 2 + 4 5 —— 1 1 1 + + 27 243 + 5 4 25…

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Q: Using the function f(x) = - 3x² + 4x + 3, find the slope over the interval listed below: [-7, -6.6]…

A: Given query is to find the the slope for the given interval.

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x)=x² + 4x-9 f'(x)…

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Q: Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3)…

A: Surface area generated on rotating a curve y=f(x) over the inetrval a≤x≤b is given by…

Q: If lim X-5 f(x) - 4 X-4 = 3, find lim f(x). X-5

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Q: Solve for G GS 9dx = (x + √y²-x²) dy

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Q: Find the difference quotient of f(x)=3x^2+5x-2

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Q: B. Verify if the indicated particular solution is a solution of the given differential equation. 1.…

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