8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

Q: Simplify the expression: 3(1 + 7g) %3D Submit

A: Given :3(1+7g)

Q: Homogeneous Diffe rential Equation: (r +2xy -4y \dx- (x² –8.xy –4y² \dy = 0 Use the substitution y- ...

A: A detailed solution is given in steps 2 and 3.

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

A:

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

A:

Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x°y. The directional d...

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Q: dx 2x² 2. + 6

A:

Q: Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the...

A: Given, number of a kernel of coin on                                  the first day = 11            ...

Q: 5x 14 dx To evaluate the integral which of the following formulas can be used? V4+8x5 udu (bu (bu – ...

A: Let u=x5 then du=5x4 dx and a=4 and b=8 And third option is used for solving given integral. 

Q: dy Find dx 2x sin (x + 9y) %D dy %3D dx

A:

Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

A:

Q: Find the derivative of the function y = (cot x- csc x) 1 %3D dy %3D dx

A: ddxcotx-cscx-1

Q: Solve the following rational equations and state all non-permissible values. 3k +2 =3- 19. k+1 k-1 %...

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x - 2x + 36x – 3x + 4)...

A: We have to find the value of n. 

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

A:

Q: D Evaluate without using calculator. Use the pythagorean identities rather thae reference txiangles....

A: a To find sin θ and cos θ if tan θ=34 and sin θ>0.b To find tan θ and cot θ if sec θ=4 and sin θ&...

Q: Without a table of values and without graphing f(x), give the values of the following limits. lim 3x...

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Q: (NAS1) Find the local linear approximation L (x)of the function f (x) = 5 – xåt x = 2 -

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Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(c) + log,(c +...

A: To find: log3(c)+log3(c+4)   Formula: loga(xy)=loga(x)+loga(y)  

Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: x3 00 dx = (x* +4)2 0,

A:

Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

A:

Q: lim 4 sin (x+ T) + 3

A:

Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

A:

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: The gross domestic product (GDP) of a country is $78 billion and growing at the rate of 4.41-1/3 bil...

A:

Q: 13. y = cos(x), 0 <x<T

A:

Q: what is 2x3

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: 6. e2x dx 3.

A:

Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: The diameter of a sphere is measured as 100 ± 3 cm and the volume is calculated from this measuremen...

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Q: 1. x + 6 dx 2 (x + 1)(3x – 2) dx - 3 4 - 3x2 + 5

A:

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: f(x)= 5.738e0.287x By inspecting the graph of an exponential function, find the following. Note: Rou...

A: The given function is: f(x)=5.738e0.287x Using the graph answer the questions about limit values of ...

Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Cart...

A:

Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x wh...

A: Follow the procedure given below.

Q: Apply the Ratio Test to show whether the infinite series is convergent or divergent n! Σ (-2)"

A: Given problem:-

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

Q: Exact Differe ntial Equation: x(3xy – 4y +6 kdx + (x² – 6x²y² -1\ty=0

A:

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: Let g (x, y) = 7 sin(xy) – 9x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates g...

A:

Q: Differentiate the function. y = (In x)4 %3D y' = %3D

A:

Q: Given the function g and asked to estimate lim g(z), three students created tables. Each table is ac...

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Q: 5) Determine whether each integral is converge 16 1 a) xp= 1 b) Vx-1

A:

Q: V3 The slope of the curve y = y -x² at the point V3 is 2 -- 4

A: Follow the procedure given below.