dx x-1

Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

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Q: 12-41-12 dx Evaluate the integral: I+2

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Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: Let z = F(x , y), where x = u ev - 4 and y = ut e -V + 3. Use the chain rule %3D az to find du at (u...

A: Concept- using the chain rule of differentiation

Q: To integrate y3xdx we apply integration by parts and in the form u dv, u is set as:

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Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in...

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Q: Го 6. Show that the matrix does not have an LU decomposition by considering the product [l11 0 [121 ...

A: Given :0110

Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

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Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: TRAN SFER TRANSFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following in...

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8 x...

A: Topic:- application of integration

Q: 5. Three numbers have ratio 2:3:5 in such a way that the highest number is 3 more than CA twice the ...

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Q: Use the Integral Test to determine the convergence or divergence of the series. 00 Σ 3n + 6 n=1

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Q: The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What s...

A: Equation of ellipse is (x-x1 ) 2 /a2+ ( y-y1)2/b2 =1

Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: - 16 if x 5 Determine if the function g(x) = VX + 4 %3D 5 - x a) x = -4 b) x = 5

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Q: f (x) = 2x? – x +6

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Q: Given f(x.y) = e X cos y, Evaluate fx(2,0) e2 cos 2 O sin 2

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Q: Compute the partial sums S2, S4, and S6. 8 8 + 22 S2 = %3D S4 = S6 =

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Q: ´ex+: g(x) = () ex+1,2 x+1

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Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: If Luk and > UR are convergent scries, then (ux + vk) and Σω 2(uk – Vk) are convergent series and th...

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Q: Express the sums in sigma notation. The form of your answer will depend on your choice for the start...

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Q: If .50.60.70.8 x. %3D then f33 =

A: In partial derivative we treat other variables as constant. For eg. Here x1,x2,x4 are treated as con...

Q: 5 tet dt.

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Q: For the function y f(x), it was found out that f"(C) = 0. What can be said that x=c ? critical point...

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the par...

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Q: Find the Taylor polynomials of degree n approximating cos(2æ) for æ near 0: For n = 2, P2(x) For n 4...

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Q: 23 = 24 = a5 = In(n) lim = -0 n+ 1 Enter DNE if limit Does Not Exist.) Does the sequence converge ye...

A: The given sequence isln(n)n+1n=1∞ and an=ln(n)n+1.

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

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Q: em #5: (a) Express the complex number (4-3/n) in the form a + bi. (b) Express the below complex numh...

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Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

A: We have to find Root of the function by both methods. 

Q: For the function y =f(x), it was found out that f(c) = 0 and f'(c)=5. What can be said that x-c ? cr...

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Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: Using the power series method, find the first five non-zero terms of the solution for the following ...

A:  Consider the solution of the function to be yx=∑n=0∞an·xn. Now, differentiate it with respect to x,...

Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: 2 3 -x´ - 4xy + 3y°; x= - 2, y = - 3 nen x= -2 and y = - 3, -x - 4xy + 3y° is mplify your answer.)

A: Topic:- algebra

Q: 5n-3 Find the sum of the series: n!

A: The given series is sum of x5n-3/n! ,n from 0 to infinity.

Q: log,(2) = y

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Q: Find the radius of convergence and the interval of convergence. EA (* + 6)* k=0 Radius of convergenc...

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Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

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Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle ...

A: In this question we have to find the equation in standard form of a circle.

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2€ _...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O (2...

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Q: Find the Curvature of the space curve r (t) = t i + t? j + -2 t3 k at t = Enter an integer or a full...

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Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

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Q: If ƒ is continuous for a < x < b and differentiable for a < x < b , which of the following could be ...

A: Here, given that f is continuous for a≤x≤b and differentiable for a&lt;x&lt;b.