Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D In(хуz) + е' + e + e where x=z/3 and y=5

Q: Evaluate the expression under the given conditions. 3 sin(0/2); tan(0): O in Quadrant IV (assume 0 <…

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Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: Find the values of xER for which the function given below is both defined and continuous. X+3 f(x) =…

A: The objective of the question is determine the interval on which the given function is defined and…

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the…

A: Here,             We have given  the rate of proliferation for the cells in a tumor varies depending…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

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Q: An animal population N(t) is modeled by the differential equation = 0.00005N (N – 200).If N(0)=A,…

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Q: H.W: find the local maxima, local minima, and saddle point of the functions: 1. f(x, y) = 2xy- x² -…

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Q: 1. (a) Find the Taylor series of ln(x) about a for a > 0. Your answer should be in sigma notation.…

A: The taylor series for ln(x) about a for a&gt;0

Q: V8x 1. S V³ ++ dx V4x2

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Q: Let A be the given matrix. Find A-1 without a calculator. 00 1 A=100 010 A 1

A: The given matrix is A=001100010

Q: Find the absolute maximum and minimum of the function f(x,y) = 4y² + 18x – 18 over the closed region…

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: a) The interval on which f is increasing is

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 1 1 1 16/2 * 81/3…

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Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

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Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

Q: n17 + sin(19n + 7) n19 +7 Determine whether the sequence an converges or diverges. If it converges,…

A: Given the sequence is an = n17+sin19n+7n19+7

Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: 9. Given z=x siny + 2x*y- cos(xy), calculate or z yr C) cosy+4x +x cos(xy) + ysin(xy) D) cosy+4x +…

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Q: sinx 12. What is the best method is solving dx? - cosx A) Half-angle substitution B) Partial…

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Q: Find the volume of the solid generated when the region enclosed by y = Vz +1, y = V4x, and y = 0 is…

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Q: 5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? %3D axn+1 А. + C n+1 С. axn+1…

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Q: David has available 400 yards of fencing and wishes to enclose a rectangular area. Express the area…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n8 + 5 n =…

A: Here we have to check convergence of given series using limit comparison test . Which says that -…

Q: 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy…

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Q: dx sinx + cosx * 20. Evaluate tan{ 1 + tan; ) +C |+C ) m1- un| +C D) tan(1- tan )+C tan B) In1+tan

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Q: Use the limit laws to evaluate the limit. (x-19)2 lim X-19 x-361

A: limx→ 19x-192x2-361

Q: Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: Q\ use Euler's method to the differen fial equa tion Solve y=XVXY When y co) =\ cnd

A: For the solution follow the next step.

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Graph the function, not by plotting points, but by starting from the graphs below. y = 6 - (+* GY y…

A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

Q: The gradient vector for the surface xy + xz + yz = 1 at the point (1, 1,0) is (1, 1,0).

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Q: H.Evaluate the triple inteqral. 8zdV E where E is bounded by the cylindter 4 + 2? = 9 and 2-0 and…

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Q: Solve the initial value problem dy 9(t + 1) – 6y = 18t, dt for t > -1 with y(0) 11. y =

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

A: Here we have to plot the graph

Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: Find the limit. (1-2)- %3D

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Q: Write the quotient in standard form. 3 5 – 9i

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Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 12…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? d.x 1+ x5 13.

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Q: Perform the operation and write the result in standard form. (16 – 31) + (-2 + 5i)

A: Given  (16 - 3i)+(-2 + 5i)

Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

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Q: Identify the function as a power function, a polynomial function, or neither. f(x)= 3^(x+1)

A: We have to identify the given function f(x) = 3(x + 1) as a power function, a polynomial function or…

Q: . Consider the the curve y =(6x + 5)v6x + 5 from x =5 to x =11 a) Find the initial and terminal…

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Q: Consider the following. f(x) = x3 – 75x + 6 (b) Find the local maximum and minimum values of f. (If…

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