1. When is separation of variables applicable?

Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

Q: 9) y= 3sin 0 +2 %3D TC 3T 2

A: y=3sin θ+2

Q: хр 1. y хр if 8/x + 9Vy = -14. Ap Find ||

A:

Q: The trapezoidal dam shown in the picture is holding back water which rises 3. to 1 m below the top. ...

A:

Q: Find S1, S3, and S6 for each problem below 1. . -1, 3, -5, 7, -9, ... 2. . 4, 7, 10, 13, 16, ...

A:

Q: Step 1 of 3: Use the following information to find (f • g)(x). ftx) = (x + 5) and g(x) = x2 - 5 %3D ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

A:

Q: 18. Identify the end benavior oT the grapns: a) -6 -8 -10

A: Graph

Q: 2x – x3 dæ (x – 1) (æ² + 1)

A: The objective of the question is evaluate the indefinite integral.

Q: log,(2) = y

A:

Q: Your equation to represent the amount of money that Dahlia earns for babysitting as a function of ti...

A:

Q: p-t equation : -0.483+1.78t+ (-0.609t^2)   By using the p-t equation, calclute (using appropriate ...

A:

Q: A dilation has center​ (0,0). Find the image of the point ​L(3​,−7​) for the scale factor 8. L'=

A:

Q: 2x – x3 dx (x – 1)° (x² + 1)

A: Given,           ∫2x-x3x-12x2+1dxTo find : Evaluate using partial fractions and w/o u-substitution.

Q: E Homework: Homework 1 Question 7 Find the domain of the function. 10 g(x) = 5 - 6x C .. Select the ...

A:

Q: хр %3D хр if y = In(7x2 + 6y?). Ap %3D Find seng OM

A:

Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

A:

Q: Given: sin A = and cos x = -12; evaluate the following expression. A: Quadrant I, x : Quadrant II.) ...

A:

Q: .

A: Please refer to the image below

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following...

Q: (16 In 2005, the summer uille Jarnalhad Il0,00 subsciptiou. The number of subacriptrons Sibaeah 8/ e...

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by here...

Q: Determine the function f satisfying the given conditions. f'(x) = ex/5 f (0) = 15 f (x) = A eBx + C ...

A:

Q: f(x + h)- f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = Question...

A:

Q: f (x) = 2x² – x + 6

A:

Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Initial value Problem : Find the particular solution given the initial values in explicit form

A:

Q: 4x2 – 4x + 3 dx J (2x – 1)(4x² + 1)

A: Given problem:-

Q: dy Suppose that x and y are related by the equation 3x-y=2 and use implicit differentiation to deter...

A:

Q: Find the interval of convergence of the series. Σ * (5x)" 2" n=1 (Use symbolic notation and fraction...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Factor the trinomial, or state that the trinomial is prime. 2x2 – - 19x + 24 Select the correct choi...

A: This question is based on factorisation of trinomial and percentage.

Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: For the curve x²y²=9 at (1,3) find the equation of normal line

A:

Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

A:

Q: (=²+ 16) +c 483 V²+ 16 da. Vr? – 16 dz. - 74

A: ∫f(x)dx=F(x)+Cthenf(x)=F'(x)

Q: 7. Find the dy/dx of * y = In sin 5x

A:

Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

A:

Q: In constructing an open rectangular box from 588 ft of material, what dimensions will result in a bo...

A: Given problem:- In constructing an open rectangular box from 588 ft² of material, what dimensions wi...

Q: A rectangular playground is to be fenced off and divided in three parts by two other fence parallel ...

A: To find the dimensions of the playground.

Q: lim Xー x2-1 x->2 ( -!) メー」 lim X-> 2 (2x+x²) lim 2x-2 X-フ R+3 -2 lim 2sin ) 12 X-> Tī lim x2-4 x-72 ...

A:

Q: 9. What is the slope of the curve at the given point? Sx² + 2.ry – y² = -3 at (.2)

A:

Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

A:

Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: 2x – x3 dr (х — 1)2(х2 + 1)

A: Given that ∫-∞02x-x3x-12 x2+1dxSolution :2x-x3x-12 x2+1=Ax-1+Bx-12+Cx+Dx2+12x-x3x-12 x2+1=Ax-1x2+1+B...

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 4n...

A: NOTE: Refresh your page if you can't see any equations. . the given series is 

Q: Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate the solution...

A: