I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x – 1): (3x + 1) = (x + 8): (x + 12) 4. (x + 2):3- 2: (5 - x)

Q: d²y dx dy =-9y+ 7e³* + A 3x 6. dx

A: Topic:- differential equations

Q: ne region bounded by f(x) = - 1x + 7x + 18, = 0, and y O is rotated about the y-a ne volume of the s...

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Q: 6. Calculate the area enclosed between the curve y =the curve y=x² and the line x= 1. Give your answ...

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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...

A: topic - functions

Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this interv...

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Q: Use the definition of the derivative to find the slope of the tangent line to the curve y= 3x^2 - 9x...

A: We have to find the equation of the tangent

Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: Now the steps to solve the problem: (a) You need to maximize how far the textbook travels horizontal...

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Q: Question 22 Find all the first order partial derivatives for the following function. f(x, y) = 9x - ...

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Q: 2x +1 2x – 3 xp: A (4x - 3) 2+ (2-– 3) +c B D

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

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Q: Make one worded problem involving derivative. Then show solution and answer to the problem.

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Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Which of the following is the approximate value of e' if polynomial expansion P(x) centered at a = 0...

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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: A new car worth $27,000 is depreciating in value by $3,000 per year. After how many years will the c...

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Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this interv...

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Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: A and B together can finish a piece of work in 6 days. A working alone can finish it in 5 days less ...

A: We have to find working capacity of A & B individuals.

Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: solve the matrix

Q: 2π ||미 = 4, ||v|| = 16, 0 = 3 %3D %3D %3D

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Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

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Q: ´ex+: g(x) = () ex+1,2 x+1

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Q: Question 2 tan (0) Insec(0) do A -Incos (0) + C 2 B - (Insin(@)) ² + C - (Intan( @)) ² + C D (Insec(...

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Q: discontinuous

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Q: Suppose z x + y Then dz/dt =D

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Q: Find the sum of the convergent series. 9+0.9 + 0.09 +0.009 +.. .

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Q: Find the derivative of the vector function below r(x ) = sin (secx 2)i +csc°(Vx² +1)j +8tan(x")k 1 A...

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Q: Sy sin 3ydy

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Q: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: Given f(x,y) = eX cos y, Evaluate fy(2,0) O cos 2 O sin 2

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Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Topic:- polynomial

Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x...

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Q: for f(x)= l x-1 l use the definition of deferentiablity to determine if f(x) is diferentiable at c=

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 l...

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Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: Determine where, if anywhere, the function f(x) = x3 + 9x2 − 48x + 2 is not changing.

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Q: 7 8. 9. 10 11 12 13 20 30 4 using inner limit 2x to (1 +x) and outer limit 0 to 1. O a.0.71 O b.0.82...

A: The integration of the double integral is xy inner limit 2x2 to (1+x) and outer limit 0 to 1.

Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2 ...

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

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Q: The Maclaurin series of the function f(x) = 3a?e-9z %3D Σ can be written as f(x) = Cna" %3D n=0 wher...

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Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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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 R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Given:       Polar curve r=4                         r=4+2cosθ     Area between the curves on an int...

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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