Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

Q: Let f(x, y) = 2x - 5y, r(1) = (cos(t), sin(t)). Use the Chain Rule to calculate f (r(t)) at the valu...

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Q: If a1, a2, a3, ..... , an are in AP witn common difference d (where d + 0) then the sum of series : ...

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Q: Are (fog)(x) = (gof)(x)? I. Yes. (f °g)(x) = (g°f)(x) = f(x) • g(x) = g • f(x) = (x² – 1) (2x– 4) II...

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Q: Sketch the level curve of the function y? f(x, y) = 16 %3D - 4 for c = 1. 7- 6- -8-7 -6 -5 4-3 -2 -1...

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Q: a). Give the defineliwm of the met matan padud AR Suy Usc bouranswe h dankea the siza of Hhe resalti...

A: (a) to define the product of two matrices. As per policy only Question (a) is to be solved please re...

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A: Solve the differential equation, by substitution method

Q: (1) Suppose that {r, y, z} is a linearly independent subset of vectors in R". Show that {x - z + y, ...

A: Result:  A set of vectors v1, v2, …, vn is said to be linearly independent, if a1v1+a2v2+…+anvn=0 im...

Q: .A. Determine the validity of the following arguments by using the rule of inference table by statin...

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Q: Given the following matrix 4 4 -3 Find its two eigenvectors. and H2 A and H2 B) H, = 9 4 and 2 4 4 a...

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Q: Directions: Find the value of x. 1. 3. (2x - 8) 73 2. 3x 42 2x (x - 7)

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Q: Plot the solid bounded by the paraboloid z = x^2+y^2 and the upper sphere z = √(6-x^2-y^2). Then use...

A: The complete solution is in given below

Q: Suppose f : R+ R is continuous and f(0) = 0. Consider the limit yf(x) lim (x,y) (0,0) y² + f (x)2* D...

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Q: Complete the truth table for the statement ~S → R. S R -S →R T ? v F ? v F ? v F F ? v

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Q: In a survey of 96 pet owners, 68 said they own a dog, and 11 said they own a cat. 6 said they own bo...

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Q: Assume that A is a 3 × 3 matrix with characteristic polynomial (2 – t)(–1 – t)². Complete the follow...

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Q: 2. ( Feel free to use Mathematica) Given are the matrices 1 1 5 2 2 -4 6. 3 -1 2 4 1 1 -2 3 3 A = 3 ...

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Q: In each case suppose R" has the norm |z|| = max {ril. . 1}. Prove each of the set inclusions: (a) Ba...

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Q: Finding the Area Under a Curve In this task, you will practice finding the area under a nonlinear fu...

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Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates (h...

Q: 5.6) Apply the integral test to the series 1+e2n n=2

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Q: (b) Justify why âx och T are linear transformations.

A: Given: A functions T:ℙ2→ℙ2 defined by T(p)=p'+p and x^: ℙ2→ℙ2 defined by x^p=xp. To justify: b) Why ...

Q: lera Calculate the consumers' surplus at the indicated unit price p for the demand equation. q= 90 -...

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Q: Situation 1: Define the total differentiation of a function of two variables. Situation 2: Describe ...

A: We have to define the total differentiation.

Q: l. bt wn u and v 1s T, and llwll>I angle Ilvil=2. then the cosine of the angle betveen ル-v and utv i...

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Q: .....………., ɑn are in A.P., where a; > 0 for all i, show that : 1 If a1, a2, a3, 1 1 n- 1 %3D Va1 + V...

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Q: 1.T.2 Let V be the set of all twice-differentiable functions f : R → R satisfying f"(x) = f(x) – 5. ...

A: Let, f and g be two functions in V.  Then,        f"(x) = f(x) - 5       g"(x) = g(x) - 5.

Q: Suppose that for all x ∈ R f ′ (x) > 0. Let h(x) = f(2x − x^2 ) for all x ∈ R. Then on [3, 5] where ...

A: h(x) = f(2x - x2) Then h'(x) = (2 - 2x)f'(2x - x2)                     = 2(1 - x)f'(2x - x2)        ...

Q: b) the region B in the first octant bounded by the surfaces z =r and r2 +y² + 2 = 1, and c) the regi...

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Q: Given G(s) = (2s + 1)/(s² + s + 1), find the system differential equation.

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a...

A: We will check whether the given seq is increasing or not   

Q: Determine whether the integral test can be used to decide convergence of the series. Explain your an...

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Q: 1. Decide whether the following stabe ments false . Justify are true or (a) YxeTR, VyeR, x²-y² z dxy...

A: (d) True We have to show that,  ɸ⊆ϕ Let a Set A which is the subset of ϕ, i.e A⊆ϕ therefore it will ...

Q: 5. You are the proud parent of a baby girl. You estimate that the cost of her college education 18 y...

A: The complete solutions are given below  

Q: Given the formula y(s + h) – 2y(s) + y(s – h) 1 y"(s) + y(")h® + O(h°) h2 use the Taylor series h2 y...

A: Given, Taylor series,y(s+h) =y(s) + hy'(s) + h22 !y"s+.........+hnn !yns+Ohn+1Formula,y"s=y(s+h)-2y(...

Q: An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. ...

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Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + y + 2 + w + t = 1 x + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w...

A: To solve the given system using Gauss-Jordan method. x+5y+15z+35w+70t=0 x+y+z+w+t=1 x+2y+3z+4w+5t=0 ...

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: solve question 1 with complete explanation within 15-30 mins and get upvotes

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Q: 27 x+39 2 3 (2) For the function f(x)= 3 4 (i) Determine the coordinates of the turning points. (ii)...

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Q: A dice game involves rolling two dice. If the sum of the two numbers rolled is 2,3,4,10,11 or 12 you...

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Q: Use Pascal's Triangle given below to find the following: 6. 3 8 1 1 1 2 1 3| 3| 1 4 6 1 15 | 10 | 10...

A: We have to find the value using Pascal triangle.

Q: D. In accompanying figure, LD is a right angle and BD I AC. Find the missing part. 15. If AB = 20 an...

A: Pythagoras Theorem: For a right angle triangle Hypotenuse 2 = Altitude2 + Base2

Q: Nines. Would Cantor's argument work if we used 2 and 9 instead of the digits? That is, for each digi...

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Q: Jen is standing on top of the school taking measurements for a trig problem. Her angle of depression...

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Q: Plot the point given in polar coordinates and find two additional polar representations of the point...

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Q: Estimate the values of y(0.2) and y(0.4) for the following DE, using Improved Euler's Method, rounde...

A: we know the modified or improved Euler's method is             y1=y0+12k1+k2 where k1=hfx0,y0 and k2...

Q: 2 μF 2 μF 1 μF 3 μF 1 μF 1 µF

A: When several capacitors are connected in a series combination, the reciprocal of the equivalent capa...

Q: In a loan database, there are 50 loans to clients with 18 years of business experience. Also, loans ...

A: Introduction: The formula for the union of two sets is given by, nA∩B=n(A)+n(B)-n(A∩B)

Q: Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (af...

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: Hote: Solue the f-llowing Prob Without Compurteng cgan all value The Matrex B= イー4チ 2 -5イ|aventete 1...

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