in fourier series b, =f(x) cos NTX cos dx L L True O False О

Q: Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)

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Q: 1. Solve the differential equation: xy' – y = 2x ln x

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Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: 1. Use Least Square Regression to fit y - ax to 6 7 8 9 8 10 13 3 4 5 1.5 2 3 4 5 y

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Q: If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine E· G - (|F|^2)

A: Given that  E=2ax+ay-3azF=ay-azG=3ax+5ay+7az

Q: 1. Six line integrals in no particular order. (a) Evaluate f F. di where: F(r, y, 2) = (y²2³, 2ryz",…

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Q: State whether the curl of the vector field shown below is on average positive, negative or…

A: To Explain: whether the curlF is positive, negative, or zero in all given four different regions.

Q: 8. Construct the graph of the following Matrices: Adjacency Matrix 1 2 3 4 Adjacency Matrix 1 2 3 4…

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Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

Q: Evaluate the following integral equation as indicated per item. Indicate the identity used for each…

A: Introduction: Differentiation and integration are the two most important operations in Calculus. We…

Q: Use the table below to find the percentage of data items in a normal distribution that lie between z…

A: To find the percentage of data items between two z - score of normally distributed data we just take…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: 目 Our aim is to write gcd(200,113) as linear combination of 200 and 113. Below is the table related…

A: Correct option is none of the mentioned

Q: [-2 0° Solve 7.X +2.4 = B for Xwhen A= 3 -5 and B--10 1 10 -1 3 6 6 4 7. 1 7 16 A. X = 16 11 11 16 X…

A: We have to find X

Q: Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G) is an…

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Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: A stone is dropped from the top of a tower. it reached the ground in 2 s. what is the height of the…

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Q: b) d²y + 5y = 2t, given that y = 0 and = 1 when t = 0 dt dy %3D dt2

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: 5) f(t) = f(t) = e¯2t/1+ sin2t

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Q: [sec 0 tan 0 Ltan 0 sec Find the inverse of sec 0 c. -tan 0 -tan 01 [cos 0 sin 01 Isin 0 cos 0. sec…

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Q: d’u Find solutions u, =F,(x)G,(1) of corresponding to zero initial velocity and satisfying boundary…

A: Consider the given differential equation, ∂2u∂t2=-c2∂4u∂x4      ⋯1 Let us consider that…

Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

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Q: Consider the function g defined by g(x, y) = cos (72/ + log3(r – y)' Do as indicated. 1. Determine…

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Q: Eliminate the arbirtray constants

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Q: -2 Find C2, where matrix C = [3/2 c. Lis 22! d. Lio 21 101 а. 15 l10 22] 3 b.;

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Q: 3. A student wishes to estimate the area of a garden. He measures the width of the garden at regular…

A: We have to use Simpson 13  rd  rule here  ∫abfxdx≈Δx3​fx0+4fx1+2fx2+4fx3+2fx4+⋯+2fxn-2+4fxn-1+fxn…

Q: х+у+2z %3D0 Solve x - у + z %3D —1 2х + у +z %3D2 by Gaussian elimination. а. (1, -1, -1) b. (1, 1,…

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Q: An examinee of the National Medical Admission Test (NMAT) got a percentile rank of 95%. What does…

A: Given that an examinee of National Medical Admission Test (NMAT) got a percentile rank of 95% .

Q: Use integration by substitution or integration by parts as appropriate to evaluate Arsin (Bx) dx…

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Q: Solve for C1, C3, C4, C5, & C6 without using matrix. Show the solution. C1-C3=1035.180…

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Q: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: Task: We need to create some example problems about the area of the region bounded by different…

Q: x³ + x – 1 ;dx J x(x – 1)(x + 5)²

A: Here i have applied all the required formulas. No other formula is required to solve it.

Q: The vector p t = 3t+5t-3 in P, does not belongs to span{t 1 ? tt 1}. Select one: True O False

A: Solution:-

Q: Find the 5th order Taylor polynomial about a = for sin x. Use this Taylor polynomial to approximate…

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Q: Determine the percentage of data values that lie between the upper and lower quartiles .

A: In a box-plot the left end line of box denote lower quartile, the right end line of box denote upper…

Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

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Q: In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle…

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Q: Find L{f (t)}of the following functions. Note: a, b, e, k and t are constants. t+1 ,0<t <1 1.…

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Q: A relief worker needs to divide 540 bottles of water and 144 cans of food into boxes that each…

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Q: Solve the following differential equation with the method of undetermined coefficients y" + y' – 6y…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

Q: For a surface S and a positive integern > 2, nS refers ton copies of S connect summed together, so…

A: Let us start solving the problem step by step

Q: Draw an exploded diagram of the office organizer.

A: Given: Let us determine the exploded diagram of the given office organizer.

Q: A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine…

A: We will find arc length and use it to parametrize the curve

Q: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: Supplementary Problems 1. (5л — 3)100 dr | (r – - 3)1/4 dæ 2. 3. + x dx | (8r – 3) (4x² – 3z) dx…

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Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

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