If the sum of the sides of a triangle is the constant 2s, then the area is greatest when the triangle is (a) isosceles (c) equilateral (b) right angled triangle (d) None of these

Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Given:If it is known that the priodic function f(t) contains even harmonics only

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: To determine the maximum volume of the gutter.

Q: Amy, Jim, John, and Kelly are standing on the east bank of a river and wish to cross to the west…

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Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

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Q: 6. A function, f(t), with period 2r is given as f(t)= [,.cos (nt) + b, sin(nt)]. The term [a,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: -3 -21X1- -101 9 2 -7||x2 9. -2 -3 -1 X3 Lx4 3 1 -7 4 B. Solve for the unknown values using…

A: Given- 56-3-2952-7-3412-1-743x1x2x3x4 = -109-28 To find- Solve for the unknown values using…

Q: Solve the following differential cquations 1. x + x*y -sec(xy) Ans. sin x = 2x2 +C x +y Ans. y- tan…

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Q: Consider the differential equation y" +x²y' + xy 0. By using power series solution about the…

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Q: -1 3 8 -51 X1 6 -2 7 X2 -11 8 -9 -5 8 - 3 6 3 X3 1 7 4 A. Solve for the unknown values using Direct…

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Q: Use resolution to show ∀x∀y[p(x,y) → ¬p(y,x)] models ∀x¬p(x,x)

A: Please look into the next step for detailed answer

Q: 1.57 Let r, and yn be any two bounded sequences of real numbers. Prove that lim sup(xn + Yn) < lim…

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Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: Solve the system of differential equations x' = 16x + 36y y' = – 6x – 14y

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Q: Profit and Working Capital. Sixteen industries of this State have been ranked as follows according…

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Q: The indicial equation of the differential equation x²y" - x²y' + (1 +x)y 0 is: O r(r-2)=0 O…

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x € R: 1/x e A}. 1…

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Q: 7. -2 if 0<t<2 If f(t)= |3t if 2<t<3' f(t+3)=f(t) then f(t) is what type of function?

A: Periodic function: A function f(x) is said to be periodic function if for a non-zero P , f(x+P)=f(x)…

Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

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Q: Hfe Rfa, bj, prove the triangle ineguatity for integrats: , ) drs (Hint: Recall that ƒ - f - S…

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Q: Use the following methods to solve for the root of the equation f(x) = xe-* – sin?x

A: The steps to find the root of the function f(x) by the direct search method are as follows.…

Q: Determine all the values that will make the equation true. Express answer in rectangular form. 6z8 +…

A: We will use the basic knowledge of complex numbers and arithmetic to answer this question completely…

Q: ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

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Q: The Taylor series for f(x) = sin(x) at a = is n (x )". n=0 Find the first few coefficients. CO C1 C2…

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Q: -y. 2- esinx - y cos'x =o

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Q: Consider the following binary relation: Vx, y E R?, x Ey if x1 > Yı (indepen- dent of x2 and y2) or…

A: We will use the basic knowledge of relations to answer this question correctly and completely.…

Q: 2. In the terminology, a function f(x) is even when its graph is symmetric with respect to the…

A: Even function: The function is said to be even function if f(-x)=f(x) Odd function: The function is…

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}. 1…

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Q: MISREAD ITEMS-COMBINED CORRELATION Rank misread. The coefficient of rank correlation of fHarks…

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Q: x = 0 x # 0 Let g(x) = (sin Find all values of h for which g satisfy the following conditions on I =…

A: Using intermediate value theorem.

Q: Which of the followi:ng statement is false? Ta) The ring (Q, +, .} is an integral domain. (b) The…

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Q: Using the variations of parameters method for the differential equation y" + 2y'+y = e-* In(x), we…

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Q: 71 Evaluate S, dx by using Simpson's rule, n=3. 1 х

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Q: The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x…

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Q: C.CE diff. eqs. 8. x³y" +x² y" – 2x y' + 2 y = x³sinx |

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Q: 4. Consider the figure below. y= 4 x Find the volume of the solid generated when the shaded area a.…

A: We will draw solid of revolution and then draw corresponding ring  or shell to use integral for…

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: Identify a generating curve on the xz-plane for the surface of revolution with equation x2 + y? + 22…

A: Solution :-

Q: Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15,…

A: Given surface z =x24+y22 To draw , level curves for c = 0, 5, 10, 15, 20

Q: 4 -7 6 5. Find the inverse of -2 4 5 7 -4

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Q: 5. Let Tn be the n x n matrix that has all O's below the main diagonal and all 1's on and above the…

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Q: . и., — и. — sin x сos t, t>0 В.С.: и(0, г) %3D0, 1.С.: и(х, 0) %3D 0, 1,(x. 0) = 0

A: Solution :-

Q: I. Consider the function g defined by 1 g(1, y) = cos (7x/) + log3(r – y) Do as indicated. 1.…

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Q: By rewriting the summation of the power series E(n- 1)C„x" + E 2nC, x"-1 +E C,x+1 = 0, we obtain:

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

A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

Q: Using forward, backward and central finite divided difference to find the first derivative of y = at…

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Q: 8. x³y" +x2 y" – 2x y' + 2 y = x³sinx - %3D

A: Solution :-

Q: (a) Evaluate the sum 20 30 ΣΣ2+5.2 i=0 j=0 (b) Show that nº n is divisible by 5, for all positive…

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Q: .1 Eckhard is in seat D7. His parents sit 3 rows behind him on his left. He believes that his…

A: We have to solve given Questions.

Q: 1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0…

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Q: If g is a differentiable function and g(0)=0 and g'(0) > 0. a) Prove that f(x) = 1/2 (integral from…

A: We will use the basic knowledge of differential and integral calculus to answer both the parts of…