ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

Q: Direction: Solve the following equations using separation of variables. 1. y' =- y(1) = 1

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Q: 16 10 f(r)dr f(x)dr f(x)dr where a and b =

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Q: f(b) – f(a) Find the value(s) of c that satisfy the equation = f'(c) in the conclusion of the mean…

A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

Q: 2. y = loga(x³ + 2x – 2)

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Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: dy Find for the following expressions: dx а) y = x³ In(3x) b) y = 2 cos (+ 2x3) X 3x2 + 7x + cos (x)…

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Q: 2t2 + 38 sinh 16t

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

A: Given query is to find the product of the numbers.

Q: 3 cos(r)ln(1+ a*) + ® 3.8 COS( Evaluate da. 1+el76z 39.9 answer

A: In the given integration we can see that the limit of the integration is from x=3 to x=3  i.e. only…

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: (ii) sec2 (x) dx

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: d) 2x³y + e2y = 4x + 5x²< e) y = (2x* + 4)4*

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Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

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Q: What are the relative extrema of the function f(x)=x^3+3x^2-24x+7 a. relative minimum of -4,…

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Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

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Q: the length of a child's square-based jewellery box is 5 cm more than its height. the box has the…

A: Topic  = Algebra

Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

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Q: 10 rp|9 |10z 5 da

A: Follow the procedure given below.

Q: On which interval is the function increasing? * 40- 20- 2. 20- -40- O (- 3, 3) O (3, 5) (- 5, - 3) O…

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Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Direction: Find the differential equation of the family of curves described. 1. Find the…

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Q: 1 1 dx

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Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: Materm tvamare the inte aral:\

A: This question is based on indefinite integral.

Q: What is the percentage of increase in the volume of a sphere if its surface area is increased by…

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: Г(81)

A: I am attaching image so that you understand each and every step.

Q: dy – (x - y + 1)?dx = 0

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Q: Find f if f(x) = tanh (sin e*). -1 %3D e* Cos e* Cos e* 1- sin? e* | O Option 1 Option 2 e cos e* 1.…

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Q: 40-4V-V v? du

A: ∫40-4v-v2 dv∫44-4-4v-v2 dv∫44-4+4v+v2 dv∫44-22+2(2)v+v2 dv∫44-v+22 dv∫2112-v+22 dv

Q: y^2=(x^2 - 9)/(x - 4) find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: The barrel of a fountain-pen cylindrical in shape is 7 cm long and 5 mm in diameter. A full barrel…

A: Given that the fountain pen barrel is cylindrical in shape.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Which of the following limits is equal to x* dx? (A) lim k 1 3+ n00 k=1 n k* 2 (B) lim E 3+ n n n00…

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Q: The value of p for the series En=1n! e¯n by using ratio test is 2 O 8.

A: Ratio Test: Let ∑n=1∞un be a given series such that limn→∞un+1un=ρ Then the series converges iff…

Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: 4. The graph below depicts a function g(r). Its one asymptote is indicated in red: 4 -5 -4 -3 -2 -1…

A: Find your answer below

Q: -4x + y = 5 52. 6x - 2y = -9

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

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Q: Question Select your answer. A number is one more than thrice the other number. What is 1 the…

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Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…