Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i - 4 j O 176 5 O 272 O 224 5 O 128

Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

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Q: | csc*(5x)cot*(5x)dx CSC

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

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Q: What are thr genereal solutions of the following? a) y^2 dx + (x^2 + 3xy + 4y^2)dy=0

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Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

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Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: 2(-1)". п — 1 n n=2

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Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

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Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: 5. (2y- 3x)dx + xdy = 0

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Consider the following planes. 5x + 2y - z = 44 X - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: S sin³ (2x)cos² (2x)dx

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: 1 1 3. lim ed - 1

A: Given query is to find the limit of the expression.

Q: 1. lim 3 2. lim 57 3. lim log r

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: We have to find w vector for given condation.

Q: O ) Let -2 М- -16 Find formulas for the entries of M", where n is a positive integer. M" =

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Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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Q: only, show which of the following vectors are perpe other. Give reasons for your answers. u = 5i – j...

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Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

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Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

Q: TT 2 Cos3 0, cos³ xdx хах

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provide...

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Q: 2n + 1 Σ n tan-1 n n=1

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Q: O Find Hhe lme qr=sin'o when the elpe 3.)

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Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: Find the indicated vector. Let u = (-8, 6), v = (8, s). Find 7 u + 9 v. O (-128, –30) O (-14 144) O ...

A: Given query is to find indicated vectors.

Q: Find the distance between the point and the plane. (Round your answer to three decimal places. (3, 2...

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Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: 4. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x ...

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Q: 2x5y' = y(3x* + y²) 4

A: Find your answer below 

Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: (x +7)" 2" Vn² – 1 Consider the power series > n=2 -

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Q: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: With

A: As per the guidelines we can solve 3 parts only. 

Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: Handwritten

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Q: (y – 3)² (x + 1)? 1 36 The exact distance from the center to each focus is:

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Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 + 1)...

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Q: Question 15 Write a chain rule formula for the following derivative. for w = f(x, y, z); x = g(s, t)...

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