Evaluate the multiple integr 2 ГГ. 24x²yz3d -1 -4 1

Q: an = √n² +5-n

A: Given, an=n2+5-n

Q: Find the DE by eliminating the arbitrary constants tan (x) - 2x^3 y = C

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Q: Find the area of triangle ABC if <A= 60°, b= 3, and c= 8.

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Q: A. Find a function f(x) such that f(0) = 5 and such that the length of the segment of the curve y =…

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Q: 35. lim (e cos x) 514

A: Given: The given limit is limx→∞e-2xcosx

Q: 27. Find 7x In(x) dx . i. Designate u and dv U= ii. It follows then that du: - iii. f7x. ln(x) dx dv…

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Q: Find the area of triangle ABC if <A= 120°, b= 3, and c= 8

A: Finding the area of triangle

Q: Solve the first-order differential equations using an appropriate method. Find a general explicit…

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Q: Sketch a graph of the function f(x) = 5 cos 6543 2 1 -8 -7n -6 -5n -4 -3 -21 -ī -1 -2 -3 -4 -5 -6+…

A: The given function is f(x)=5cos14x

Q: Verify if y = x4 is a solution of dy/dx = 4y/x.

A: The answer is given below:

Q: etermine whether the function is one-to-one r(t) = t6 - 6, 0≤t≤7

A: A function r=f(t) is said to be one to one iff of different values of t, r takes different values.

Q: Find the inverse Z-transform using the residue theorem of the following X(Z) function: Z-1 {} +-2)}…

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Q: Find the area of triangleABC if <C = 30 degrees, a = 4, and b = 5

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Q: if x < 5, if x ≥ 5, continuous at x = 5? Why or why not?

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: 5 Given x + 6xy-y2 = y + 8, use implicit differentiation to find dx dy dx ||

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Q: List the interval(s) on which f is decreasing. The interval(s) on which f is decreasing is/are (Type…

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Q: Identify and draw the domain of functionf(x, y) = = √4-x²+4y² 2 In (9-x² - y²)

A: The given function is: f(x,y)=4-x2+4y2ln9-x2-y2

Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: 6. Prove that curl (Vf) = 0

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Q: (a) Show that E(x) = f(x) + f(-x) is an even function. (Simplify your answers completely.) E(x) =…

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Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

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Q: 5) Find the distances by drawing the figures and right triangle used to calculate: a. Between 1₁ =…

A: Given: 5. a) lines l1=2+2t, -1+t, -3t and l2=4, -5-3t, 1+4t b) Planes -x+y+2z=0 and -x+4y+2z=-6 c)…

Q: g(x) = 3 √√x+1

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Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

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Q: Exercise 3. If x₁,..., Xn E RK, prove that x₁ ++Xn ≤|x₁| ++|xn|.

A: Given that, x1,...,xn∈ℝk To prove that, x1+....+xn≤x1+....+xn

Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter 'o'…

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Q: 15. Graph the function f(x) = |xl on the interval [-1, 3]. Find the value of the integral 3,lx| dx…

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Q: Use the graph of the function f given below to answer the questions. List the values of x at which f…

A: Given problem:-

Q: lim (3a + x) x-3

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 2x² + 6x…

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Q: 2 5 8 -B- -3 be written as a linear combination of the columns of A = 0 1 13 5. Can b not? 7 -17 Why…

A: A vector a of n dimension can be written as a linear combination of the vectors x,y and z each of…

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: 2 For each of the recursive sequences below, find a recursive formula for the general term. a -2,-4,…

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Q: ) The slope of the curve at P(1,-6) is ) The equation of the tangent line to the curve at P(1, -6)…

A: Follow the procedure given below.

Q: (x)uis₂x = h-fix (p)

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Q: Rewrite the given pair of functions as one composite function.(p as independent varible) g(x) =…

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Q: lim g (y) where, g (y): = -2 y² +5 3-3y lim g (y) y² +5 ify -2 y+-2 ify <-2 if y≥-2 g (y) = {1-3y…

A: We have to find the graph and to interpret and analyze the limit.

Q: y + 3y = 2xe-3x y-2xy = et²

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Q: Find the area of the region between the x-axis and the curve y = 8/(x2 − 4) for x ≥ 4.

A: Find the area of the region between the x-axis and the curve y = 8/(x2 − 4) for x ≥ 4. (Please put a…

Q: 3t² + 1 →7t² - 5t + 2 6. lim 1-7

A: The limit is given by limt→73t2+1t2-5t+2 To evaluate: The value of the limit.

Q: Let f(x) = x² − x. Fill in the blank below. - ƒ' (2) =

A: Topic- derivative of function  we are givebf(x)=x2-xand we will use power to rule to find derivative…

Q: 4 On the set of axes below, graph and label the equations y = |x| and y= 3|x| for the interval -3…

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Q: Find an integrating factor for each of the following and solve the equations. Show solutions to come…

A: A differential equation is exact iff ∂M∂y=∂N∂x   2. Given differential equation,…

Q: 2)Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by…

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Q: Starting from the point (−1, −1, –—4) reparametrize the curve r (t) = (−1 − 2t)i + (−1 − 2t)j + (−4…

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Q: Set up an integral for the volume of the solid obtained by rotating the region bounded by the curves…

A: The given problem is solved below in detail.

Q: Differentiate y with respect to T 85T²+85T √4T y=

A: Since multiple questions are asked I am answering first question

Q: Using the given graph of the function f, find the following. (a) The numbers, if any, at which f has…

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Q: (c) Prove that every function f(x) can be written as a sum of an even function and an odd function.…

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