[ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1

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

A: Follow the procedure given below.

Q: Determine whether the improper integral is convergent or divergent. 33) S ∞ dx x2/5 0 A) Convergent…

A: We know that integration of xn   is xn+1/n+1.   Here i attached the solution of this question.

Q: A ship leaves port at noon and travels at a bearing of 214°. The ship's average rate of speed is 15…

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  the given speed is…

Q: What is the subtraction of Vector M from Vector T? M = 5 units T= 4 units

A: Solved below

Q: 7 13 8 a Find the area of the shaded region above.

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

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: We need to choose correct option.

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: z (hx) = h + k

A: y'+y=(xy)2

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

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Q: Help please

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Q: We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 3e¯* centered at…

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Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given problem:-

Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

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

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Q: drug is administrated intravenously of the object iver 1. the time interval [3,8] Use definition of…

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Q: Evaluate the integral. 1³w² in w² In(w) dw

A: We will solve the integration

Q: The function f(x) = max x, searches for the maximum value between a number. Prove formally that the…

A: Given; f(x)=maxi .xi

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnon n=0 Find the…

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Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

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Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: y = x² and x² = y

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Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

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Q: 1 2. Determine the numbers at which the vector-valued function R(t) = t²i+ ln (t-1)j + 1 ) ³ + + = =…

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: 1. 3. Finding Regions of Integration and Double Integrals 2. •LL (x²y - 2xy) dy dx -2 LT" (sin x +…

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Q: There are two extremely important sequences that we will discuss in this chapter: arithmetic…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

A: Given: x+5216+y-424=1

Q: Using Root Test the series Σtan where n 7n4 an = 3n4 + 4n - 5 diverges since 7 lim an == n→+∞ 3 the…

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Q: Calculate the integral approximation S10 for Si, dx. 1 x5+1 S10 =

A: Let's find integration value by using simpson rule.

Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

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Q: Find the unit normal to the surface z=2+2z^2-3y^3 at the point (1,-1,7), pointing down with respect…

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Q: 15. Si dt 1³ + 1² - 2t

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Q: y = x² and x² = y

A: Area of the bounded region is

Q: estion 28 Find the next term of the sequence: 243, 81, 27, .... A Moving to another question will…

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Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

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Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

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Q: dy Use Picard's method to solve =-xy, y (0) = 1 dx Find y3(1)?

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Q: Evaluate the double integral over the given region R. xy² dA 2 X + 1 R xy² SS. dA= +1 R (Type an…

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Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

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Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

Q: 21. Jo 0 dx (x + 1)(x² + 1)

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Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

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Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: 10 d sinhx = coshx Q3: A. By power series, prove that: dx

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Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

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Q: A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying…

A: I am attaching image so that you understand each and every step.

Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: 3) Find dz dy for z = e

A: Solution: As per given date   z=exy  For finding dz/dy , we assume that 'x' is a constant.