Write a in the form a = a7T+anN at the given value of t without finding T and N. r(t) = (- 2t + 3)i + (3t)j + (3t)k, t=1 OT+ (ON (Type exact answers, using radicals as needed.) a =

Q: tan x - dx 2 sec x – tan x 2.

A: Topic:- integration

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A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

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Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

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Q: 1. If f(x) = *, then f(x + h) = %3D 2. If f(x) =, then f(x + h) = 3. If f(x) then f(x + h) = Vx+2'…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: Integrate 7 dx , 1+ Vx+1 3

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

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Q: e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s +…

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: e ( +5t –2) 6. 5 (s – 2) (s - 2)² O Option 3 O None of the Choices 6 + 5(s – 2)² – 2(s - 2)° (s -…

A: To find the Laplace transform of f(t)=e2tt3+5t-2⇒f(t)=e2tt3+5e2tt-2e2t

Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e* 3 1-…

A: Hi there! Thank you for your question. Unfortunately as per our guidelines we are restricted to…

Q: xチ+1=4 DIDX= 2-2y (ost) X= 3サ-3 *キーに h で3,0) サ=2メー オー×ポーカ toノー4) メッとナ+ム メーリー3

A: Explanation of the answer is as follows

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A: We need to nd which set is more dispersed.

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

A: Given problem:- Use differentials to estimate the amount of paint needed to apply a coat of paint…

Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

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Q: Integrate 1 x + 1 dx x + 1 2

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

A: Given: y=x, y=2x and x+y=6 Now find the point of intersection between the line y=x & x+y=6…

Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  2. (D^2+D-2)y=2x-40cos2x Please answer this…

A: Here, the given DE is: (D2+D-2)y=2x-40cos 2x Now, to find the yh. The auxiliary equation of the…

Q: 2. For the parametric equation shown below, determine the value of (dyldx) and (d²y/dx?). x = 3t? –…

A: To find dydx& d2ydx2 using the given parametric equations.

Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

A:

Q: 4. If f is a differentiable function of a and y with w f(x, y), x =r cos 0 and y = r sin 0, %3D show…

A: To verify the given relations between partial derivatives.

Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

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Q: əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2)…

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Q: Write down the gradient of the straight line represented by the equation y = −0.05t + 47. What does…

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Q: Calculus How many numbers are relatively prime to the following number. - 209 - 323 - 867 - 31…

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Q: Si cos3x cos4x dx 2 TT 6

A:

Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: d radius of the

A: If r = A cosθ + B sinθthen Centre is A2 , B2 and radius is A2 + B22

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

Q: For the function f(x) = xe-2x give intervals of increase/decrease and intervals of concavity.…

A: Let's find.

Q: Step 2: Step 3: Sten 4:

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Q: Find the length of the curve 7(t) = (2 cos(4t), 2 sin(4t), t) for –2 <t s8 Give your answer to two…

A: As we know that; The expression for the length of the vector-valued curve; L=∫abx't2+y't2+z't2dt And…

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A: This question can be solved using the concept of integration by substitution and integration by…

Q: 2+ In² 1 dx. 4. Evaluate the integral x – x ln x (a) 3 ln |In r – 1| + 2(ln x – 1) + (In x – 1)2 +C…

A: To find out the integration.

Q: (a) The equation of motion for a moving particle is s(t) = t³ – 3t, where s is in meters and t is in…

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

Q: VII. Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4x + 2y + z %3D subject…

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Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

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Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2