With a curve 56 3 17 x² + y = 6, y = x, y = -2 and x = -2. . Determine its area.

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: If z = 4x - xy², which vector is normal to the plane tangent to the surface of this function at (0,…

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Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: 1. f(x) 2. f(x) = 3. f(x) x² - 4x X 2x x²-9 x² x-2 ; C = 0 -4 ; C = ; C = 2

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: Question 9 This triple integral represents the volume of a cylinder. O True O False V = f²" f² fr dz…

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Q: A rocket is fired vertically upward from the ground. The distance in feet that the rocket travels…

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Q: Find the volume of the solid that lies under the paraboloid z = 7² - x² - y² and above region R =…

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Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

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Q: conver the Following differential equation ihto a 1+S Perfect equation and then find general…

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Q: of the points where the parametric equation y = 2 cost 0≤t≤ 2π will have vertical tangent. Determine…

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Q: C) (*) Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

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Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 4}. I Then the double integral of f(x, y) over…

A: Explanation of the answer is as follows

Q: The function defined by y=√√²-x² has as its graph a semicircle of radius r with center at (0,0) (as…

A: The objective is to find the volume .

Q: Evaluate the following expressions. Your answer must be an angle in radians and in the interval 1…

A: We need to find the following expressions:a sin-1-12bsin-1-32csin-11Notice that the angles are…

Q: Let f(x) = 3 cos 2x + sin²x. a) b) Show that f'(x) = -5 sin 2x. In the interval <x<3 Find the value…

A: Please see the below picture for detailed solution.

Q: There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger,…

A: The answer is given below:

Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s 56

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Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: x² +9 √(x² - 1)(x^² + 4) In 1x + 11 + In |x-1| + tan-¹) + C Option 1 In x +11+ In |x-1|-tan ¹ () + C…

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

Q: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)…

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Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: √ /1 + x² dx

A: We can solve the integration as below.

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: A. Find the slope of the line tangent to the given curve at the indicated point. 1. f(x) = 3x + 10…

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: If u and are non-zero vectors and Proj=0, then which one of the following must be true? O The two…

A: Two vectors u and v are orthogonal if u.v =0 .

Q: Determine the singular points of the given differential equation. Classify each singular point as…

A: Concept: The general homogeneous second order differential equation: y''+P(x)y'+Q(x)y=0 Regular and…

Q: Solve using Variation of Parameters (D² + 1) y = tan x O y = c₁ cos x + c₂ sin x − cos x ln(secx +…

A: The objective is to find the general solution using variation of parameter.

Q: 2 sin(x − 57) + 4 5 4 3 2 1 Sketch a graph of the function f(x) = -3/2 -5/4 -I -3/4 -π/2 -π/4 -1 -2…

A: The general form: a sin (bx – c) + d Where, |a|  = Amplitude 2π/|b| = Period c/b = Phase shift d =…

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: Express the vector v with initial point P and terminal point Q in component form. P(3, 3), Q(5, 5)

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: Use integration by parts to evaluate the integral. 9x Saxe dx dx = S4x ex

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Q: C. Find the average rate of change of the given functions at the indicated interval. 1. f(x) = x² at…

A: We know that average value of function f(x) on given interval [a,b] is f(b)-f(a)b-a

Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: (t2 +2t) dx/dt  = 2x+2 ; x(1)=1. Find the solution of this initial value problem.   Here…

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find all solutions of the equation 2 sin² x - COS X = 1 in the interval [0, 2π) with x₁ < x2 < x3.…

A: The given equation is: 2sin2x-cosx=1 To find the solution in the interval [0,2π).

Q: Find the volume of the solid obtained by rotating about the axis the regi and bounded by y=2x²) Y=o…

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