Is f(x) continuous at x=1?, explain thoroughly. x-1 f(x) = { 1 2x - 2 for 0 < x < 1 for x = 1 for x > 1

Q: Find all complementary functions of the equation x³y"" + xy'-y=0, x>0 1, x, x³ 1, xlnx, x2lnx x,…

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Q: 1. Evaluate the surface integral [[ 3. SS S where S is the portion of the plane x + 2y + z = 2 lying…

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Q: Find all complementary functions of the equation x³y"" + xy'-y=0, x>0 1, x, x³ 1, xlnx, x2lnx x,…

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Q: 4. Find the general solution to the following trigonometric equation in degrees using the roster…

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Q: Given t² 4 1 + cos² (t) At what value of x does the local max of f(x) occur? X f(x) = || = X = -dt

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Q: ‚) Given f(x, y, z) = x²e¯³ + z, P(1,0,0) and Q(1,0,1) . a) What is the maximum rate of change of f…

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A: This is a question of sequence and series.

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Q: 1 S√/s +1

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Q: Suppose that for all x, the function f(x) lies between 2x and x² + 2. Which theorem is relevant in…

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Q: one math class, the first exam had an average score of 81.2% with a standard deviation of 10.9%. The…

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Q: Pierce Manufacturing determines that the daily​ revenue, in​ dollars, from the sale of x lawn chairs…

A: Given: Daily Revenue, Rx=0.005x3+0.05x2+0.6x            Number of daily sellings chairs=50To find:…

Q: Use a graphing calculator to approximate the critical values of f(x) to two decimal places. Find the…

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Q: Show that the middle term in the expansion of (1 + x)2¹ is (1-3.5 (2n- -1)) 2"x", where n is a…

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Q: e that A = -4 -7 -4 2-4 5 X = -(41) -2 eigenvector of A. What is the associated eigenvalue?

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Q: Tim is offered two gambles. With Gamble A, he either gains $2 or loses $1 with a 50 percent…

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Q: 1. (i) Obtain the differential equation for the family of curves of ellipse centered at the origin…

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Q: Consider the sum S= 324 +972 +2916 +8748 +26244 +78732 (a) What kind of series is it? O arithmetic O…

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Q: (i) P₁ = k₁ = If y is such that ry= ds, then snow that: d²p d²p dy² =p+- (ii) ₁ 1 =I P T₁ σ p+ P Rp…

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Q: Consider the following claim for any sets A, B, C: (B − A) n (C − A) = (B^C) – A. Consider the proof…

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Q: Solve the given equation.. dy dx .Y=xe*, y(1)=e-1 X v(x)= xe X − x y(x)= xex −x2 V(x) = xex +x-2…

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Q: 2 Evaluate dx by Romberg Integration. Evaluate R5,5 and calculate the error with analytic solution.

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Q: The Laplace Transform of f(t) = 8e4t is Select one: O O O O None of these. F(s) = F(s) = F(s) = F(s)…

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Q: Find the face value of the zero-coupon bond. 20-year bond at 3.5% (compounded semiannually); price…

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Q: Find the Annihilator of the given function(s) f(x)= e²x +4e-3x a. (D-2)(D+3) b. (D+2)(D-3) C.…

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Q: Find the equation to the conicoid generated by lines parallel to the plane XOY, intersect OZ and the…

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Q: #r.. F-n do of the field F-(x-3xy³) + (x²-xy²2) + (xyz²+ 2xz) & outwards through the surface of the…

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Q: Let f (x, y) = {*, (x, y) = 0. / 0, (x, y) = ( 0, 0) }. x+y Show that lim (x, y) → ( 0, 0 ) exists…

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Q: 2. Find the eigenvalues and eigenvectors for the matrix A = 1 2 52 0 -4 2 0-5,

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Q: Which of the following statements is always true ? Select one: O a. If A, B, and C are sets with AC…

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Q: Find the local maximum and minimum values and saddle points of the function. Hint: D-Test 2 f(x, y)…

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Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=2f(x-1). Continue O…

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Q: By using the method of variation of parameters to solve a nonhomogeneous DE with W₁ = e*, W₂ = -e we…

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Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $2 per…

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Q: The parametrization of a straight line in 3D space is given by r = [x y z] = CT, were T = [t 1], and…

A: To check the correct option for the given line.

Q: 6. Find the Taylor series for f(x) = e²* centered at x = 3 using the definition of a Taylor series.…

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Q: The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the…

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Q: (26) Are there natural numbers n, m such that 20" = 50m? Justify your answer with a proof or a…

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Q: find the curl of U = exy ax +sin(xy)ay + cos2(xz) az

A: U=exyax+sinxyay+cos2xzaz

Q: For which value of a the system of ODEs tanh(y₁) + a sin(y2), y2 = -2 cos(y₁) +2e + 3y2 has an…

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Q: Show

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Q: From step 1, why is it p(0) and p(1)? Isn't it supposed to be alpha(0) and alpha(1).

A: The objective is to check some variables.

Q: The relation R is defined in A = {1, 2, 3} by a Rb if |a² - 6² ≤ 5. Which of the following is false?…

A: Generate the relation and look for facts in options.

Q: -4 (3x² + 5x) 52

A: Using derivatives property we  can find derivatives of y

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Q: -(8-6D) 3 13. Consider the subspace W = span in R¹. (a) Find a basis 8 = (₁, ₂) of the orthogonal…

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