135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

Q: Solve the initial value problem for r as a vector function of t. d'r Differential equation: = - 18k…

A: Given

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: Bolyng bernoulli differential equation

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Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

A: We can find the limit of the function. Firstly make factor in numerator and denominator and solve .…

Q: Find the given limit. 2 X -5 lim 4-x X -4 x -5 lim %D 4 -x X→ -4 (Simplify your answer.)

A: Find the given limit

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

A:

Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

A:

Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy : (8, 1).…

A:

Q: kt Convert the equation f(t) = 310(1.13)' to the form f(t) =

A: answer is in next step

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

A:

Q: 4. Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D

A:

Q: Given the graphi of the function f(x) below, answer the following 37 26 8 16 -10- 20- Enter T for…

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Q: Phi Ms. Kaye of the Lakwatsera tours offers a group rate of Php 24000 per person for a week in Cebu…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: Σ Preview i=1

A: We will use sigma notation.

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: Write a in the form a = a-T+ anN at the given value of t without finding I and N. r(t) = ( - t+ 4)i…

A: Here, r(t)=(-t+4)i+(2t)j+(t2)k⇒r'(t)=(-1)i+(2)j+(2t)k⇒r''(t)=(0)i+(0)j+(2)kSo,r'(-1)=-1,2,-2 &…

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

A:

Q: Jse the functions below to (a) express as a function of t, both by using the Chain Rule and by…

A:

Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x +70 on the interval 0, b is equal…

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Q: Solving berneulli differential equation dy Xp

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Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…

A:

Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: Use the graph of H shown to the right to find the limit If necessary, state that the limit does not…

A:

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

A:

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: dy 8. Solve the initial value problem of (sin x) = y cos x = x sin x. dx

A: Given that sin x dy/de +y cos x = x sin x Or     dy/dx +y cot x = x Which is linear I.F. =…

Q: Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

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Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

A:

Q: find two real numbers whose difference is 24 d whose product is minimum, we can find th inimum value…

A: We will find the function.

Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

A:

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

A:

Q: 3

A: We will find the limit.

Q: . Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

A:

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

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Q: de r= 4 e ao and = 3 dt

A:

Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

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