dy dx 1 x(y-3); = 4y

Q: 15. f(x)=√x + 5. Find f-¹(x).

A:

Q: Evaluate: 3 [ 2² √2³ + 8 dx =

A: To evaluate the given integral

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A:

Q: Solve the system of Gaussian Matrix lincar equations - 2x + x + 2y - Z = 1 3x + 8y + 5z = − || + 12…

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A: Here we have to find the points.

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A: The value of I=236

Q: x -4 2 lim x 2 x O a. 2 O b. -2 O c. -4 O d. +∞ O e. 0 O f. O g. 1 O h. None among the choices. O i.…

A:

Q: the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=6-x+x² ect…

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A: Given, I=∫ x12+2x23dx

Q: 11. Find a vector orthogonal to (4,2).

A: To find a vector orthogonal to 4, 2.

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A:

Q: Q2.1 Solve the following ODE 2x²+3x sec² y dy dx Response: =

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Q: If sin e = √√7 and cos Ꮎ = 4 what is tan Ꮎ? +1w

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

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A: We need to find out the derivative of the function.

Q: Find dd (r,•r, ) if r, = (2,·-√²,e³¹) and r₂ = (x, In (21)).

A:

Q: lim, 0 sinx − x 3

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. Determine each. Z A X…

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Q: Test the convergence of the following series a) Σınte-n? n=1 b) En=2 In(n!) 1 ) Σ1 3*n! ηπ

A: We have to consider the given series are convergent or divergent according to the given series

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A: Given query is to find the year when export will be 9.7 billion.

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A:

Q: S ydy 4 +√/y²-9 2 Vy

A: Given integral:- ∫ydyy2-94

Q: (b) Find the particular solution of the following IVP. (ii) (16x + 5y)dx + (3x + y)dy =0 @(1,-3)…

A: Given differential equation:- 16x+5ydx+3x+ydy=0

Q: PROFIT A manufacturer determines that when x hundred units of a particular commodity are produced,…

A: Given:- Px=400015-xx-2 Px=Profit function to produce x hundred units

Q: Find the indefinite integral. (Use C for the constant of integration.) (In x) dx X J- In (x²) 9 + C

A:

Q: If the limit does not exist, enter Ø. Sorry, that's incorrect. Try again? - 9)) = lim (sin(n+9) n→∞…

A: Given query is to find the Indicated limit.

Q: Use the graphing guidelines to make a complete graph of f. 2 f(x) = x+10 Choose the correct graph…

A: Topic - Graph of a function We are given , f(x)=x2x+10

Q: 3. y 20 X CORU smertx3 (ledol - ln x 10 MUCHIKB oviniet &momia to m

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

Q: Let F(x) = following. A = B = = [ f(x)dx + c, and it is given that f(1) = 2, ƒ(2) = 1, ƒ(3) = 2.…

A:

Q: Sketch an excellent graph for the following equatic a) r = 2 cos(0) + 1 3π/4 TT/2 21 31 π/4

A:

Q: If f(1) = −13 and f′(x) ≥ 31 for x ∈ [1, 11], how small can f(11) be?

A: Given query is to find the smallest possible value of f(11).

Q: The function f(x) = - 2x³ +36x² = This function has a local minimum at x = with value and a local…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: Use Newton's method to approximate a root of the equation 5 sin(x) = x as follows. Let ₁ = 2 be the…

A:

Q: CONSUMER a certain commodity is D(p) per month when the market price is p dollars per unit.…

A: To determine the price at which the expenditure stop increasing and begin to decrease

Q: Find the arc length of the parametric equations x=21/2 0st≤1. z=t;

A:

Q: 6. Let sin x g(x) = [ Find g (7) 3 3 + -dt

A: Given; g(x)= integraion of sqrt[3/(1/4 +t2)], limit from 1 to sinx.

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: concept →if a function is continuous at x = a then limx→a- f( x) = limx→a f( x ) = limx→a+ f( x )

Q: 10.) What is the largest slope of y= x² x² +1 on [0,10]

A: Given  y = x2x2 + 1 slope = dydx

Q: 1. Angle x lies in the interval Зл TSXS ²³1₁ 37, and cos², Determine the value of sin 2x. X =

A: acording to bartleby guide line we do only first part of multilie questions formula used is…

Q: Show that the following series are convergent and find their sums: a) 1ײ×3 +2×3×4 +...+ n(n+1)(n+2)…

A:

Q: S 3x² (x³ – 5)² dx

A: Given query is to perform the integral using substitution.

Q: Using separation of variables, find the general solution to the following: y' = (-6x² + 7) (5y + 2)…

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Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: Volume of a cylinder is given by V=πr2h, where r is the radius and h is the height of the cylinder.…

Q: 7P (2/27 +27) 9. 'TE

A: ∫tndt=tn+1n+1+cI=∫04(t2+t32)dt=∫04t2dt+∫04t32dt

Q: Choose the value of 0 for which both of the following are true cos(0) = 1 sin (0) = 0 π/6

A: Given cosθ = 1 sinθ = 0