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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT y Ü ₂¹ ♥ ❤ II. Calculate the following limits. 4-√√x² +7 3x+9…

A: We have to evaluate the limits.

Q: Find the partial derivatives of the function fz(x, y) ye^9y f(x, y) = ye^gy fry (x, y) fyr (x, y)…

A: ∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0f(x,y)=xye9y

Q: If f(x) = f'(x) = = e -7x+12, find f'(x).

A:

Q: (2) The contour diagram of g(x, y) is given below. 2 -2 -2 -3 -2 -1 0 2 (a) Clearly label a point P…

A: The given contour diagram of gx, y is given below:

Q: Find the Arc Length. y = MIN 3 2 X 3 +4 [1,27]

A: arc length of the curve y=32x23+4,  for 1≤ x≤27

Q: Determine whether the following series converges. Justify your answer. 8 + 10 Σ 8 k=1 k

A:

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: value of a car was $48000 in 2015. By 2020, the value of the car depreciated to $16226 a)Assume…

A: Given query is to find stue linear function for the value of the car.

Q: ● Solve the following following 3-4/x+3/21

A: As per the rules we are supposed to answer the first question and rest others can be reposted.

Q: 15. pot INSTRUCTIONS: A bacteria culture grows with a con- stant relative growth rate. The bacteria…

A:

Q: The inverse Laplace transform of -7s F(s) = e s² + 3s - 4 is f(t) Use step(t-c) for uc(t)

A: Let's find inverse Laplace of given function.

Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

Q: The following differential equation can be reduced to the linear equation by the 1 substitution u =…

A:

Q: Use Laplace transforms to solve the initial value problem: y" - 4y = 2e³t, y(0) = 1, y'(0) = −1

A:

Q: write the exponential function y=50(1.025)^t in the form of y=a(e)^kt, once you have rewritten the…

A:

Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x + y) + 5 cos(x - y).…

A:

Q: Differentiate the function.   y=(6x2-7)/(5x3+1)

A: The given function is; y=(6x2-7)/(5x3+1)

Q: Find the area of the surface obtained by rotating the curve about the y-axis. 1 1 y=-x--lnx, 1≤x≤8 4…

A:

Q: Consider the Cobb-Douglas Production function: P(L, K) = 28L0.5 -0.5 Find the marginal productivity…

A:

Q: Find the volume of the solid that is obtained by revolving the region about the line y 2 y = 5/2 y =…

A: Volume of solid formed on revolution of a region R around y=a is V=π∫cd(r'2(x)-r2(x))dx where r'(x),…

Q: Find dy/dx.  y=7x

A: Use the basic result of differentiation.

Q: Find the radius of convergence and interval of convergence of the s Linr (x + 4)” 47 n=1

A:

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y² - 2x³

A:

Q: √x+h-√r (a) lim x-x³-x+1 (b) lim-2x + 32¹-3x³ - x² + 3x - 1

A: See the details solution in below to

Q: Find the first partial derivatives of f(x, y, z) A. Caution: ay/bx and ay/(bx) are very different,…

A: Given query is to find indicated derivative.

Q: Given the equation below, find dy dx y -28x² + 4x70y+y¹⁰ 23 dy dx Now, find the equation of the…

A:

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A:

Q: A table of values for f, g, f', and g' is given below: (a) If F'(x) = f(f(x)), find F¹(2). (b) If…

A:

Q: 7) Find the average distance from (0, 0) of the points that lie in the region X² + y² ≤ (10.5)²

A:

Q: Find the Taylor polynomials p1​, ​..., p5 centered at a=0 for f​(x)=4e^−2x.

A:

Q: find it's derivative and solve for its critical points

A:

Q: 2. f cos³ (20x)dx

A: Given :

Q: Given s(t)=4t+8​, where​ s(t) is in miles and t is in​ hours, find each of the following. ​a) ​v(t)…

A:

Q: lim h→0 eh cos² h - 1 h

A: We need to find the limit without using L'Hopital Rule.limh→0ehcos2h-1h

Q: Find dy/dx. y=x-4

A:

Q: Find the average value of the function over the given interval. x² on [0, 6] f(x) =

A:

Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 3 seconds.…

A: we will find the required.

Q: Consider the piecewise function 5t - 5 5 cos(-5t) -5-6e5t -5 sin(5t) f(t) = = t< -11 -11 ≤ t < 3 3 <…

A: For a piecewise function we can write it as a unit step function as f=f't&lt;af''a≤t≤bf'''t≥bThen…

Q: Find an equation for the tangent line to the graph of y=(x3 −9x)12 at the point (−3,0).

A: Given query is to find the equation of the tangent.

Q: It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry…

A: dxndx=nxn-1

Q: 3. Find the interval of convergence of the power series (x + 1)2k k².16 Don't forget to check the…

A: Let's find interval of convergence of given power series.

Q: A manufacturer can produce 4320 cell phones when & dollars is spent on labor and y dollars is spent…

A: I am attaching image so that you understand each and every step.

Q: (5y²+3 x)dx+7 xydy=0 (*) a) Determine whether the given differential equation (*) is exact SM-Nx -dx…

A:

Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

A:

Q: x²-3x+2 ex/4 8. Given the functions: (i) f(x) = 2x³ +12x² +6x-20 and (ii) y(x) = - (a) Find the…

A:

Q: Use cylindrical coordinates to find the volume of the region bounded below by the plane z = 2 and…

A:

Q: y"" y'=sin(3x) -

A: Given:        y'''-y'=sin3x    Linear equations with constant coefficients…

Q: An accessories company finds that the​ revenue, in​ dollars, from the sale of x belts is given by…

A:

Q: The function f(x) 2√√x + x³ - has a x² +√√x + 3x Horizontal Asymptote at y =

A: