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Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: A camera is on the ground, filming a rocket launch. The rocket is rising according to the position f...

A: The rocket is rising according to the position function y=30 t2, where y is measured in feet and t i...

Q: here having a radius of 3cm. is cut in the shape of a circular cone of maximum volume. is the maximu...

A: Topic:- application of derivatives

Q: calculate af fe and ду

A: ∂ ∂ xxyx2-y2x2+y2

Q: Find the maximum and minimum values attained by f(x,y,z) = xyz on the unit ball x2+y2+z2 ≤ 1

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Q: Solve by posing equation quadratic Rectangular area 1200 m^2 If the width of that area is considered...

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Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: Evaluate the limit. 37-192x2 lim,+4-4x²+x° 3

A: Given query is to find indicated limit.

Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: Find K, B and r for H.W Find K, B and T for 1. r(t) = (3 sin t)i + (3 cos t)j + 4tk %3D 2. r(t) = (c...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: roblem 1 a) Find f o g.and g o f together with their domair f(x) = x³,x € R ; g(x) %3D

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Q: Problem 3 a) Suppose C(r) is the area of a circle whose radius is r, and S(r) is the area of the cir...

A: Firse make the digram then find the area of square and circle and divide and find the answer.  In 2n...

Q: 1 1 lim t->0 tv1+t t ou upload at the end of this c

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Q: Find the area of the region that lies under the graph of f over the given interval. f(x) = 2 - 2x^3...

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Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or...

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Q: Consider the functions z = -8 ex In y, x= In (u cos v), and y =u sin v. dz as a function of u and v ...

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Q: Solve

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Q: 3)운 noo

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Q: 9. S e*(3 – 2e?)²dx

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Q: Determine

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Q: 3x +1 at x = 1

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Q: 1 I3 = %3D fals true

A: we need to find the given is true or false.

Q: (x²+1)dx 10. x2

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Q: 6. Find f'(1) if Ax) = nx

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: Question 1 f 8(x) =3x2-4x +5 ; G(x) =x-2x2+5x , then G is the anitiderivative of f. A True B False Q...

A: topic - integration

Q: F+9 2x-(4+F) 4. Let f(x) = VBx -(F+5) h(x) = Vx + (k + 3+ F) and g(x) = . Answer 8+K the followings:...

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Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2. ...

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Q: fly(x)) c? Vx U= x)こ

A: y=e3x U=g(x) y=f(U)

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: The given series is: ∑k=1∞164k2+48k-7=18∑k=1∞8(8k-1)(8k+7)=18∑k=1∞(8k+7)-(8k-1)(8k-1)(8k+7)=18∑k=1∞1...

Q: 7) f) = Sx + 12x -7x at a point where x -1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Assuming 9x° – 5y - 4xy = 0 defines y as a differentiable function of x, use the theorem dx - to fin...

A: Given: 9x3-5y2-4xy=0

Q: Let f(x) = (x – 1)-2 Show that f(0) = f(2) but there is no number c in (0,2) such that f' (c) = 0. W...

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Q: 31 sing -Cony) o Cosy

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Q: ds/dt+s/t=cost+sint/t solve using linear equation diff eq

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: 8 csc? 4x cos(cot(4x)) dx sin² (cot(4x))

A: Here, I will be using method of substitution to solve this integral. You can assume:           sin(c...

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: Question #4 ( Car A 4 km At exactly 2 PM, Car A is four kilometers east of an intersection and drivi...

A: This question can be solved by using the concept of rate of change of physical quantities.

Q: 21. x2y lim (xy)-(0,0) r2+y2 22. lim (xy)-(0,0) sin (r+y2 Vr2+y2

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Q: lve the differential equation y" + 16y =0 for y(r). || olve the differential equation y" +4y = e for...

A: Please refer to the image below

Q: 1. Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (Vx – 1+ Vy +1) · In (x² + ...

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Q: Calculate the integral approximations Ts and Ms for La (In x)-5 dx. Your answers must be accurate to...

A: Trapezoidal rule concept based problem. Use standard formula.

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified ansuwer as improper fra...

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Q: What is an antiderivative? A it is the reverse process of differentiation. it is an integer that can...

A: Differentiation is also called derivative.

Q: =wyx for w = In (3x+ 4y). ух

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Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k...

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Q: xydx+2(x^2+2y^2)dy=0 x=0, y=1 solve using homogeneous equations

A: This question can be solved by taking y=vx and then applying the concept of integration to obtain th...

Q: Write the first five terms of the sequence, give the exact answer: n n + 13 n=1 Determine whether th...

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