The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9 B. 9x + 2y = x² + y² D. 9y + 2x=1

Q: graph about this?

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Q: Why is it necessary to get acquainted with the sigma notation's properties?

A: Yes, it is necessary to get aware of sigma properties . It help mathematics to improve itself.

Q: Compute for the sum. Answer directly. Lore ΣΣ (-)) i=1j=1

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Q: Solve the lim 21 following x³-x²-√2x x²-11x+18

A: Here given question is in 00 form at x=2 so we can use L'Hospital rule. For this we differentiate…

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Q: 4. Let S be the lower hemisphere a² + y² + ² = 1, 2 <0 with outward unit normal n. Let vector field…

A: Given that  S is lower hemisphere x2+y2+z2=1, z≤0 with outward unit normal n. Now,…

Q: Please show integration process. Is this the correct combination?

A: Solution

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Q: umand

A: Mathematics will give the way to understand patterns to quantity the relationships and for…

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Q: ・ Rephrase the initial value problems as integral equations yzyte, yco) 21 2 * x²= t-2² (0)=0 1 2

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x, y) =…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 24- Solve the following differential equation: (1+x²)dy + (y-tan-¹(x)) dx = 0

A: Solution to the differential equation

Q: 1. Factor the given matrix into LU decomposition (= 1 for all i) 2.1756 4.0231 -2.1732 5.1967…

A: ⌈ 1 0 0 0 ⌉ L = | -2 1 0 0 ｜   | -0.5 -0.214 1 0 ｜   ⌊ 3 -0.357 -5.34 1 ⌋

Q: 1. Use the Cauchy-Riemann conditions to find out whether the following functions are analytic. a.…

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Q: 1. If f is an increasing function on (a, b) and P= (ro) is any partition of [a, b], prove that sup…

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Q: Find the divergence in (2,1,-1) for the vector field FCX₁Y₁² ) = x³y² 2 ² + x ² z 3 + x^²yk

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Q: 2) 2° +2¹+2²+...+ 2n = 2n+¹ -1 Remember: 2⁰=1

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Q: c) Develop an M-file function for the trapezoidal rule. Use it to estimate the integral of f(x) =…

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Q: In(1-76) + 26 zsin(x¹) Iª Use power series to compute lim Select one: O 1/2 03 O O O 1/6

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Q: Q2- By using Chain Rule, find au/ax, du/dy, du/əz at (x, y, z) = (√√3, 2, 1) P-q u= p=x+y+z q=x-y+z,…

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Q: Given the following first-order ODE: dy dt =y+t³ , where t is evaluated from t = 0 to t= 1.5 with…

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Q: pls

A: We solve by LU factorization.

Q: What is the anticlockwise moment acting on this crane? 25 m 5m load 4000 N O 120000 Nm O 100000 Nm O…

A: To find the anticlockwise momentum acting on the body :-

Q: 6. Graph each of the following y = 2x + 1 (i) in R² (Cartesian coordinate system) and (ii) in R³…

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Q: GIVEN: f(x)=x²-13x +9=0 X-1 = 2.000 Xo = 2.500 USING THE SECANT METHOD, DETERMINE THE % ERROR AFTER…

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Q: Determine the fraction of callers who wait between 0 and 15 minutes. 01 e 15 100% 15 1-e 4≈ 98% 15…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

A: Please see the attachment

Q: 19. (a) For which values of m and n is the complete bipartite graph Km.n a tree? (b) For which…

A: please see the attachment

Q: 3. Let A {-5, -4,-3, -2,-1,0, 1, 2, 3, 4, 5}, B = {-4,-2,0, 2,4}, C = {-5, -3,-1, 1, 3,5}, = D =…

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Q: 1. Consider the following matrices. 2 4 0 0 1 21 (# 1 1 1 142 4 63 (3) 345 0 7 8/ -6 -10 0, 1 4 3,…

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Q: Figure 1 shows the contour surface G = 6 where G(x, y, z) = x² - y² + 3z². On the sur- face is point…

A: For a vector function f(x,y,z) Gradient ∇f=fx,fy,fz Gradient vector is also Normal to the surface .…

Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: 1. Consider a circle of radius 6 with center at the origin. a. Lines with slopes 1 and -1 each…

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Q: Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive…

A: The solution is hand written as requested:

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A: Some of the properties of Laplace transformation…

Q: Q2- By using Chain Rule, find au/ax, du/dy, du/az at (x, y, z)=(√√3, 2, 1) u= p-q 9-r' p = x+y+z…

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Q: Using the Maclaurin series expansion of e, to find the series expansion of f(x). Express [ f(t) dt…

A: Follow the steps.

Q: 3. Solve, showing details: y₁ = 4y2 + 5e² y2 = -₁- 20e-t Y2 y1(0) = 1, y2(0) = 0

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Q: Solve for y esec(4y²−6y+14) = 3x + 1

A: Using the properties of the logarithmic functions, it can be written that: ln e=1 ln ab=bln a The…

Q: 1. Given the following matrices: 1 2 3 4] [4 2 468 A = B = 1 3 5 7 -1 2 2 4] a. [(AC)BT] - DT b.…

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Q: II. Consider the parabola C: 2-4 = -(x - 2)² on the xz-plane. 1. Find the center-radius form of the…

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Q: (1₂) ². The degree of the differential equation (1²) + C. 1 A. 3 B. 2 D. not defined + sin = 0 is

A: Solution

Q: Determine y(t) y" - 2y' + y = 4e-t + 2et, where y(0) = -1, y'(0) = 2

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Q: -1 1 1 1 1 1 −1 1 1 1 -1 -1 1 -1 1 and B = -1 1-1 1 -1 -1 1 5 k -1 1 5 k h all values of the…

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