Q2 Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3 and the parabolic cylinder z = 4- y

Q: xVx +1 dx

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Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: a) m - 1 b) m – 2 Q.8) The characteristic equation for y"" + 3y" – 4y = 0 , is : b) 2' = 32?-4 c) m…

A: To find out the characteristic equation.

Q: X-1 4 = = 2 – y = z 2 y-2 z-1 12 = x = -1, 3 2 Show that these are skew lines.

A: To show that the given lines are skew lines.

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression…

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Q: Si cos3x cos4x dx 2 TT 6

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Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

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Q: A tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C. -7 -$ -4 -3 -2 1 2…

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Q: i need the answer quickly

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Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: PART

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Q: The approximate value of -31.8 using linear approximation, O -1.0075 O -2.0025 O -1.9975 O (E) None…

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Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f) = 21* 20. f(1) = r° 21. f(1) = 41 - 10…

A: Laplace transform

Q: Question 1 Compute v31.6 approximately by use of differentials. O 1.995 O (E) None of the choices O…

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Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of…

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Q: 3. Evaluate the integral / Vr+3 (x- 1 4 4 (a) 극(z +3)72-(r + 3)52 + 국(2 +3)%2 +C 1 4 (b) (r + 3)"…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

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Q: Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x…

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Q: 3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly…

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Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: 7 In the interval T, 27|the equation sin x = 8 (a) has no solutions (b) has one (and only one)…

A: Solution of (sinx)^2 = 7/8.

Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

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Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

Q: Find the limit 19sin(5x) lim 28x x-0 a. 5 28 Ob. 95 28 19 О с 28 d. None of these. O e. 95 28

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Q: f(x) = 8 cos Tx

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Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: 1- x dx 3.

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Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: B. For each of the following functions z, find az az a2z and дх? дудх" дхду ay2 1. z = 2x? – 5xy +…

A: We know that when we differentiate a function partially with respect to 'x' , other variables of…

Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits