Cite real life situations and application of slope of a tangent line and derivatives in real life

Q: 11 woń, -1 4-2 -3 4 -3 1 Consider the matrix A 2 (a) The vectors = 1 and 7: are eigenvectors of A.…

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Q: V. Given: el32-6-2, if x ≤ 2 13 f(x)= [2x - 5], if 2 3 x²-9, 1. Determine if f is continuous or…

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Q: Let S₁ be the surface generated by z -4 = -y revolved about the z-axis. Let S₂: x² + y² = 4. Draw…

A: Given: Let us consider the S1 surface created by z-4=-y about the z-axis. The S2 surface by x2+y2=4.…

Q: Z₁=2i8+2i9 Z₂=i4-3i¹5 find Z₁ Z₂

A: Solution:-

Q: 18. Show that Σkind(k)³ = (Σk|n d(k))² for all positive integer n.

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Q: Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an…

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: How. Find the volumes for the following solids whose heights are defined by ECx,y) and bases are the…

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Q: 1 Let f(x) x² (a) Let = (1, 0). For all p = [1, ∞], evaluate ||f||LP (M). (b) Let = (0, 1). At what…

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Q: 10. Prove that 7/2 TC/2- sin 0 cos (cos a cosec 8) de -0 2 (1-cos a).

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Q: 1. Given: f(x,y)== y a. Find and sketch the domain of the given function b. Find and sketch the…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: A ball is drawn at randum. a bax Containing (6) red ball hallo

A: Given, a ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls.

Q: b) A unit vector is a vector whose magnitude is unity, given that the vectors r₁=2i+4j-5k and r₂…

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Q: 23 Find a 4 by 4 permutation matrix (call it A) that needs 3 row exchanges to reach the end of…

A: Consider the 4×4 matrix given below, A=0001100001000010 Here we need to apply 3 row exchanges to…

Q: Suppose that u, v, and w are vectors such that Evaluate the given expression. u-v-2w, 4u+vi (u, v 2,…

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18 k

A: Given differential equation is (D2-6D+9)y = 54x+18

Q: Approximate the following integrals using the following methods. a. [² [² (4 – x² − yª²)dydx a.…

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^-1 4 + 7n n=1…

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Q: Use Euler's method with step size 0.2 to estimate  y(3),  where  y(x)  is the solution of the…

A: Given that: y'=1−2xy,​  y2=0 To use the Euler's method with step size of 0.2 to estimate y(3).

Q: Evaluat the integral. i's ex dedy ३५

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Q: Q₁: Evaluat the integral:- 플 S S. sec (cosx) dx dy Sin y

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Q: Consider a system of linear equations A [:] b where -2 6-3 b = and A-1 Find the value of y in the…

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Q: If A = [1 31 (67] 0 A. 3300 OB. -900 OC. 900 OD. 1 O E. -1 find the (1,2)-entry of A300

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Q: Use Squeeze Theorem to evaluate lim x → to COS X loga x

A: To use squeeze theorem to evaluate the below limit. limx→∞cosxlogx2

Q: You have answered 3 out of 6 parts correctly. Find the eigenvalues λ₁ < λ2 < A3 and associated unit…

A: Given matrix is A = 222204240

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: Find the length of the spiral. r= 502, 0≤0≤ √5 95 19

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Q: Consider F and C below. F(x, y, z) = (y²z + 2XZ² ) Î + (2xyz)j + (xy² + 2x² Z) K₂ C² X=√E, y = t +…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: Determine in polar and Cartesian forms (a) [3/41°]* (b) (-2-)5.

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Q: What do the following equations represent in R³? Match the two sets of letters: a. a vertical plane…

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Q: Find the volume of the solid that below the Surface given by z = 16 xy + 200 and above the region in…

A: Volume bounded by xy-plane plane,

Q: I will only upvote if you meet the requirements 1) typewritten 2) complete solution 3) correct…

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Q: 1. State the amplitude, period, and phase shift for y=2 sin(0+20°). Then graph the function.

A: Given function is y=2sinθ+20°. We have to find the amplitude, period and phase shift of the given…

Q: D²-2D+1)y = e^x logx

A: Given differential equation is D2−2D+1y=exlogx. We have to find the general solution of the given…

Q: Integrate the following functioner f(x,y) = (x-1) over the given region R: y=x and y=x²

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Q: Let f(x) be an irreducible cubic over Q with cyclic Galois group. Show that all roots of f(x) are…

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Q: Determine the solution(s) to x that satisfy the following equation: (x² + 5x + 5)(x²-6x+5) = 1

A: If x2-6x+5=0 and x2+5x+5≠0 then x2-6x+5=(x-5)(x-1)=0 this implies x=5 and 1. If x2+5x+5=1 then…

Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = x²i + z²j – xyzk S: z = √√√4x² - y² F. dr. In this…

A: Consider the given function, Fx,y,z=x2i+z2j-xyzk and S:z=4-x2-y2 Let us consider that ϕ:x2+y2+z2=4.…

Q: Suppose A is a 1 x 7 matrix and is a 7 x 1 matrix. Select all that apply A+Bexists and is al x 7…

A: Given that A is a 1×7 matrix and B is a 7×1 matrix. Here, we will check which of the given options…

Q: Find the divergence and curl for the following vector fields. Describe the characteristics of the…

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Q: GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except…

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Q: Determine the solution of the following differential equations. a) y"- 6y'+ 9y = 0. b) 4y"- 12y'+…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: Let S1 be the surface generated by z - 4 = -y revolved about the z-axis. Let S2: x² + y2 = 4.…

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Q: Ex. (8) Solve [D²-6D+9] y = 54x+18 -

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Q: 8. (1+e¹¹)² 2

A: Given function is f(t) = 1 + e-t2⇒ f(t) = 1 + e-2t + 2e-t To find linear transformation we use the…