Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + xz, P(8, 9, -8), v = 16i + j - k

Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: х3-х-1 4. S (х-1)(x?-х)

A: To evaluate the given integral.∫x3-x-1x-1x2-x dx

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: ? Va dx Vx csch vx cosh 4-S-

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Q: 5- S(tanx + secx)² dx

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Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

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Q: 3. Integration by parts a.j 18x ( x+ 4)»

A: Given

Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: For Item # 3- 5: Myrvel is working on the graph of the function y = - 2x + 4x – 6x + 7 and the point…

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Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

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Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmic…

A: The given function,    y=x.secx.x2+1

Q: lim *+1) x-l x+3

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Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: Vxdx 10. 3/4 9 +x314

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Q: cosh? V 4-S dx Vx csch vx

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Activities in Logarithmic Differentiation Find the , evaluate for given x – values dx' (x-2)²/x+1 y…

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Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: The following situation can be described by a linear function. Draw a graph of the function and use…

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Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: f(x + Ax)-f(x) D. APPROXIMATE DERIVATIVES f(x) = Ax 8.) 2A

A: Given function f(x)=2x

Q: Find the volume of the triangular prism to the right. 12t The volume of the prism is . (Type an…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + 1)y = sinx

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Q: dx 1- S 4+x2

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Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: 4) A particle is moving along the curve y = vx. As the particle passes through the point (4,2), its…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: the position function, in meteres, of a particle that moves along a straight line is…

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Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: Find dy/dx: а. y = cos t dt

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Q: tan 0 =-1, 0 in QIV

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: Find the measure of the angle between the two vectors. Round answer to 2 decimal places. u =(-8,-2)…

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Q: Find the work required to haul a load 100 feet by a 100lb force acting on the load at a 20° angle.…

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Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: V

A: Follow the procedure given below.

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

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Q: 2.x4 h(x) = 5x³ + 6 .

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Q: dx Evaluate the improper integral x(In x)?

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: d d Calculate ri(t) · r2(t)] and [r(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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