h(x) h'(-6)= = f(x) g(x) based

Q: x+1 2-1 24 - 1 Evaluate the given limit of lim O-1 01/1 0 -¹ O Olimit does not exist if it exists.

A: Solved below...

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1.…

A: Given: y=16−x2 and y=−6x+9 Let's first find the intersection point of y=16−x2 and y=−6x+9 16-x2…

Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: 5. If f(x) dx = 12 and f f(x) dx = 4, then all of the following must be tru a. ff(x) dx = 16 ✓ b.…

A: Given that∫25fxdx=12 and ∫58fxdx=4Solution :a.∫28fxdx=∫25fxdx+∫58fxdx                 =12+4…

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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Q: Identify the theorem: assume that a region R on the plane is bounded by a simple closed curve C,…

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Q: Evaluate the integral. (Use C for the constant of integration.) ] = 5 tan(x) sec³(x) dx

A: The given integration is: ∫5tanxsec3xdx To find the value of integration.

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

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Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. Use Lagrange…

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Q: Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form…

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Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: z (hx) = h + k

A: y'+y=(xy)2

Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

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Q: Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using…

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Q: 2. a) Calculate the 4th roots of (5 - j3) b) Differentiate the following functions clearly showing…

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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: its wrong please re-provide

A: This question can be solved using integration by substitution.

Q: Determine the equation of the hyperbola with center (3, -3), a focus at (16, –3), and a co-vertex at…

A: To find out the equation of hyperbola.

Q: lim (-5) (²²-4x-5) x-5,

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the factored form…

Q: Fill in the blanks to describe the transformations that occur in the the graph from the Parent…

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Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

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Q: y = ln x and x-y-4 = 0

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

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Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

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Q: An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the object T(t)…

A: Given, An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the…

Q: Find the area of M. == Let M be the region bounded by the parabola y (0,2) (-2,0) 4 0 L N ရာ T c…

A: Given problem:- Find M be the region bounded by the parabola y=(-1/2)x2+2 and the line y = - x - 2 .

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

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Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

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Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

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Q: Let C be any curve from (0, 0, 0) to (4, 7, 2) and define a vector field F(x, y, z) = (y cos xy, x…

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Q: 2 x 2 sin Evaluate the spherical coordinate integral p² sin dp do de. 00 0 The value is (Type an…

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Q: Example Test the series Σ 11 for convergence or divergence.

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Q: 2. Find the Maclaurin series of f(x) = tanh ¹x

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Q: log3 = X-1 3 √3-2x

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Q: Let C be the circle with radius 3 centered at the origin, oriented counterclockwise. Define a vector…

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Q: wait so which option is the correct answer?

A: Solution:

Q: Find the curl of the following vector field: F = (z, 2y, -3x)

A: Follow the procedure given below.

Q: A(4) = A'(4) -

A: Integration gives area below curve area above x axis is positive area below x axis is negative A(4)…

Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-