3, use the separatibn of Variables and solve the following equatibn %3D

Q: Evaluate the lim lim

A: We will find the limits. 

Q: The population of Hungary has been modeled by P = 9.919(0.998)',

A:

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: 5. f(x) = In(x + 5) – 2 Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= x→-5* lim f(x)...

A: Given : f(x) = ln(x+5) -2 To find : Domain, Range, Equation of Asymptote, and End behavior. 

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

A:

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: (x +1) 2)(x +2)(x (x + 3)(x+ 1)

A: Let,  f(x)=x-2x+2x+1x+3x+1

Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is c...

A:

Q: If g = 1845°, simplify the expression sin- (sin g). If undefined, enter Ø. %3D

A:

Q: cos (sin-(x)] – dx 1-x2

A:

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy-12=0, ...

A:

Q: Let  u = -5i + 3j + 3k, v = -4i + 3k and w = 3i - 4j + 3k. a) Find | -4u + v + j |.  b)Find the ve...

A:

Q: Find the differential of each f (a) y = 1 + 4s dy =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

A:

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

A:

Q: b) E(-1)"+1 Vñ Inn n-1

A: The given series is: ∑n=1∞nln n which is an alternating series with bn=(-1)n+1nln n, n≥1  

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

A:

Q: 4t2+3t sin t 2. lim t 0 t2

A:

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

A:

Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

A:

Q: x+ 4x2-9x-36 y = 4x2+28х+48

A:

Q: Show if the differential equation is exac

A: Given that: (2x3-3x2y+y3)dydx=2x3-6x2y+3xy2

Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

A:

Q: ii. cos(cos-G

A: Given query is to perform indicated trigonometric operation.

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

A:

Q: integral f theta^2  cos 3(theta)   d theta

A:

Q: Any line perpendicular to r(t) = t+ ·

A:

Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: Suppose f(x)=x−4/x+1. Write an expression in terms of xx and hh that represents the average rate of ...

A: This question can be solved by applying the formula of average change in a closed interval.

Q: 1. y = 2x2-5 at ( 2, 3) %3D

A:

Q: Please choose the answers from a to i.

A: To choose the answer from the given options.

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

A:

Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Follow the procedure given below. 

Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

A:

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

A:

Q: dy (8y – a²y) + x – xy² = 0 dx

A:

Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x dydx=2C1e2x+(-1)C2e-xdydx=2(y-C2e-x)-C2e-xdydx=2y-2C2e...

Q: There is a jump discontinuity at x = 2 and ƒ(2) = 3 %3D

A: There is a jump discontinuity at x=2 and f(2)=3

Q: Express the repeating decimal as a fraction. 0.101010...

A: Given :0.101010...

Q: Find the value of (f o g)' at the given value. f(u) = u° + 9, u= g(x) = Vx, x=1 (fo g)'(1) = (Type a...

A:

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7