x² – 1 Evaluate lim X +1 x2+3x-4

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

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Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: Use the substitution method to find all solutions of the system of equations. S2x + y = 5 x + 2y = 1

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Q: 1 10. Determine by the root test if Ln=1 converges or diverges. (In(n+1))“

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Q: A surface S has a parametrization Þ(u, v), whose domain D is the square shown in the figure. Suppose…

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Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: 3) Verify that the hypotheses of Rolle's Theorem are satisfied on the given interval, and find all…

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Q: 1 liter of paint that costs 200.00 pesos can cover 13.33 square meters, exactly how much will be…

A: This question can be solved using the concept of units and measurement.

Q: Find the derivative of the given function. dx %3D

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Q: 6. Use the definition of the definite integral to evaluate (x - 4) dx. in f(x)dx = lim f(x AX A→0…

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Q: Given the function f(x) = x?e, Determine the open interval(s) where the function is concave up…

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Q: f(x) = In(1 + x5) %3D f(x) = Σ n = 1

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Q: Consider the inequalities below. Describe two differences and one similarity between the graphs.…

A: We have to describe two differences and one similarity between the graphs.

Q: Evaluate: * dx re+1 5.) X-

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Q: ind the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The figure inscribed in the sphere is needed to be maximized. So, volume of cylinder is to be…

Q: Use implicit differentiation to find an equation for the tangent line to the curve at the given…

A: We can solve as follows

Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

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Q: Webkasign. Graphing Tool Solve the system. (f there is no solution, enter NO SOLUTION. I the system…

A: we have to find solutions

Q: メyゴ= ザ+×x。+y %3D ind gen eral solution

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Q: Find f(x) dx if f(x) = for x < 7 for x 2 7 Need Help? Read It

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Q: Solve the system, or show that it has no = is any real number.) +X- -y = 5

A: Given system of equation 34x+12y=5     . . (1) -14x-32y=1   .. (2)

Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t² (in…

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Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

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Q: 1 11. Use the alternate series test to determine if E=1(-1)"+1, converges or diverges.

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Q: O Use polar coordinates to evaluate the integral V2² + y²dxdy. -V9-y2 got sdi wolod bas sitt od

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Q: 6. Use Descartes's Rule of Signs to determine the possible number of positive and negative real…

A: We have to use Descarte's Rule of Signs to determine the possible number of positive and negative…

Q: (9) If f(x) = 2x +k and g(x) = (x – 5)/2, for what value of k is f(g(x)) = g(f(x))? %3D (A) 15 (B) 5…

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Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

Q: plve the equation: u = a u, Uxx 0 0 (x, 0) = f(x), u(0,t) = u(L, t) = 0

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Q: 57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c)…

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Q: The radius of a circle is to be measured and its area computed. The error in the measurement of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

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Q: a) Find the directional derivative of a(r, y) = 3r? - y at (1, 1) in the direction (-3,4).

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Q: Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the…

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Q: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: Find the exact area of the surface generated when the curve f (x) = /5 – x on the interval 3 <x < 5…

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Q: 0Graph the following tu Pune

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Q: 2 4 - 8 Q - The determents|A| of matrix A =-1 - 3 6 is 7 - 2 c) -20 5 d) none of them a) -24 b)-32

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Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

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Q: Given that lim f(x) = 0 x-a lim g(x) = 0 lim h(x) = 1 xa lim p(x) = 0 lim q(x) = 00, xa evaluate if…

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Q: The curve x + y = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: Compute f(x)dx f(x) = { 2x if x 1

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Q: To create a college fund, a parent makes a sequence of 18 yearly deposits of $1100 each in a savings…

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Q: Evaluate the definite integral: – 1| dæ

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Q: Evaluate the surface integral. (x + y + z) ds, Sis the parallelogram with parametric equations x = u…

A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…