y2- 4y + 2x = 0, x = 2 and x-axis

Q: ||r(1) × r"(t)|| Use the formula «(t) to find «(t). r(t) = 11 cos(t)i + 11 sin(t)j + 6tk K(t) =

A: We can solve as follows

Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE,…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: Find all first and second partial derivatives of the following function: f (x, y) = e*Y + y sin x.…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 3)i + tj, 0 sts1

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Q: (1+x, if x 2 %3D

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i+11 sin(t)j+4tk;…

A: Given problem:- Find the curvature and the radius of curvature at the stated point.   r(t) = 5cos…

Q: Solve the following indefinite integrals, using substitution or integration by parts where needed 10…

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Q: 12 dx х3 — Зх2

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Q: Find the derivative of the following equation: (2x – 1) (3a? + 2) - O 48x + 36x2 + 22x + 8 48x3…

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Q: d d ri(t) - r2(t)] and nt) x ra(t) first by differem [ri(t) × r2(t)] first by differen dt dt the…

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Q: Describe the graph of the equation. r = - 13 i+ (1 – 12 )j + t k O It is a parabola in the plane x =…

A: Given; parametric equation    r=-13i+(1-t^2)j+tk

Q: Laplace transform of (t+2)^2

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Q: Directions: Compute f'(3) for each of the following function. Then connect item A to item B by using…

A: We have to find the value of f'(3).

Q: Find the first partial derivatives with respect to x,y and z f/x.y.2)= 3x'y- 9xyz 1 10 yz? 9xyz + 10…

A: Given:         fx,y,z=3x2y-9xyz+10yz2 First partial derivatives with respect to x,y,z.…

Q: Evaluate the line integral / (4x + 8y)d.x + (4x – 9y)dy along the curve C : x = 10 cos t, y = 20…

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Q: 4) Find the critical points of the parametric equations x = t* - 1 y = t3 - t

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Q: 5 4 3 2 1 -1 T/2 3T/2 -2 -3 -4 -5 The graph of the function f(x) : given above for the interval x E…

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Q: Match the equation with its graph. 16 56

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Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A: We can solve as follows

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 5. f(x) = 2x²…

A: Find your answer below

Q: QUESTION 2 Find an equation of the tangent to the curve at the point by first eliminating the…

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Q: se Hooke's Law to determine the work done by the variable force in the spring problem. A force of 9…

A: Given is the question of hooks law.

Q: What is the differential equation whose solution represents the family y = Ae3x + Be 3x+Ce4x? %3D O…

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Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: The graph of the function f(x) = tan x is given above for the interval x E [0, 27] ONLY. Determine…

A: Given, the graph of the function fx=tanx,   x∈0,2π We need to evaluate the one-sided limit.

Q: 2x 1- cos x Graph f(x) = sin for Osxs2x by using transformations. 2 2- Use the graphing tool to…

A: To find: the graph of sin2x2 = 1-cosx2 for 0≤x≤2π Graph of cosx will be as following

Q: Find the general antiderivative, F(x), for the given functions. a) f(x)=-sin? xcosx b) f(x) =/7-2x

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Q: k S = (d – 2)? where c and k are positive constants which depend on the quantity of smoke each stack…

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Q: The cumulative percent of sexually active boys ages 15 to 20 is given in the table. Complete parts…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. x + 3y2) dy

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Q: Find div F and curl F if F(x, y, z) = x²i – 7j + yzk. div F= curl F=

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Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: Find div F and curl F if F(x, y, z) = 3y°z°i – 3x*2°j – 3xy*k. - div F= curl F=

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Q: Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de- grees…

A: This is a problem related to interpolation of the quantity. Based on the general formula we will…

Q: Evaluate the integral (8x +12y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A: Topic:- integration

Q: What is the parametric equation for the line of intersection of the planes x + y - z = 2 and 3x - 4y…

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Q: 8* – 2* 10. lim, »0 4x

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Q: 19. What is the seсond derivative of y бх* - 3x1 + х2 -57 а. у 24х1 — 9х2 + 2х b. у"3 144х — 18 с.…

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Q: What is the equation of the tangent plane normal to x2 + y2 + z = 9 at the point (1, 2, 4)? O 2x -…

A: Given; f(x,y,z)=x^2+y^2+z-9  Point (1,2,4)

Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

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Q: 5. Which of the following is equivalent to (v2/2 – iv2/2) ? O -2 O 1 O -1/2 O -1 O 2 O 1/2

A: We have to find the equivalent of given complex number.

Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

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Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

Q: Establish the identity. 3 csc0 4 cos 0 = 7 cot 0 sec 0 sin 0 Write the left side of the identity in…

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Q: О а. 1.56 J ОЬ. 3.25 J Ос. 1.94 J O d. 2.33 J

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Q: Find volume of the solid obtained by rotating the bounded region determined by curves y = In x, y =…

A: We have to calculate volume of solid obtained by rotating the region bounded by y=lnx, y=0 and x=2.…

Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 2xe³j – 3ek. - V·(V × F) =

A: