Find the solution of the differential equation y(t) = 1 t { x + + + ² ( ² ) * - ** (²) * <4 sec y = 6 cos t ㅠ 5 0 5 2 (0) = 1

Q: Find the particular solution: (1 + x³)dy - x²ydx = 0 when x=1, y=2

A: linear  differential equation of first order of the type dydx+P(x)y=Q(x).Then its solution is given…

Q: For f(x) = 10/x and g(x) = 10/x, find the following function (fog)(2)

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Q: (Technology Permitted) The position of a particle moving on a horizontal line is given by…

A: We need to choose correct option.

Q: 2x If F(x)= -1.2 = 3 In (1²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.)

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Q: 1/3 At what points is the function y = (3x - 2)¹ continuous? Describe the set of x-values where the…

A: We have to find continuous interval for the given function.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Given f(x) = 3x³ + 2, use a table to estimate the slope of the tangent line to f at the point P(0,…

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. √x+1-2 lim 1-3 x²-9 lim 1-3 x²+7-3 x+3 x²+2x-8…

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Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

A: I am attaching image so that you understand each and every step.

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: The given inequalities are:- 30x+20y&gt;=600 10x+40y&gt;=400 20x+30y&gt;=600 x&gt;=0, y&gt;=0

Q: Q1/ Solve the following first-order differential equations: 1- (1+x³).dy-x² y.dx=0 2- (1+e20)dp+2e²8…

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Q: 11.3 Q5&amp;Q6 I need both questions ? percent correct answer Needed to be solved both as soon as…

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Q: A function f is given, and the indicated transformation is applied to its graph (in the given…

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Q: Consider the following. -6 X = 4 Explain your reasoning. -4 2 4 For what value(s) will Newton's…

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Q: 2. Solve the inequality. Give the solution in set and interval notation, then graph it. -7x + 16 +…

A: Need to solve the inequality and to give the solution in set and interval notation and then we need…

Q: The Graph below represents the velocity of a particle moving on a horizontal line on the interval…

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Q: Write the slope-intercept form of the equation of the line that has the given slope and y-intercept.…

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Q: 1 If f(x) = find lim X h→0 0-1/160 O 01 O O 14 f(4+h)-f( h

A: Topic:- calculus

Q: Find the particular solution: dy siny = dx cosy(1-xcosy) when x=0 and y=0

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Q: If h(x) = 6 - 3x³, find h' (3). at the point (3,- 75). The Use this to find the equation of the…

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Q: Find the equation of the line L that passes throught point P( – 6, 2, 4) and Q( – 3, — 1, 5). - r(t)…

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Q: Evaluate the integral. π/4 0 (sect tanti+t sin 2t j + sin³ t cos t k) dt

A: The answer is given below:

Q: Find the area of the parallelogram with vertices: P(0, 0, 0, 0), Q(-3, 4, -4,-4), R(-3, 6, -5, -2),…

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Q: Find the directional derivative of g (a, b) = cos(3a + 4b) at the π point ( along the direction of…

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 2x lim x-2 x²-4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Question 7 For the given graph of the function f, on the left, sketch the graph of of f' on the…

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Q: Find parametric equations for the tangent line to the curve r(t) = (t, 5, In t) at the point (e, 5,…

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Q: Consider the following. f(x) = 5 - 2x² - (a) Find f'(x). (b) Graph both f(x) and f(x) using a…

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Q: 5. Find a parameterization for the intersection of a) the cylinder x² + y² = 9 and the plane z = = 2

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Q: S dx 2 (1+x²)²

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Q: Question 4x5 -1.² 2 If F(x) = 2 In (†²) dt, what is F! (x)? (Do not include "F'(x) =" in your…

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Q: y = = In 3x x²+4

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Q: Find for y = 6sin²(2x). Əy 3x

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Q: Compound interest. If $1000 is invested at interest rate r, compounded monthly, in 3 yr it will grow…

A: Here we have to use the concept of derivatives.

Q: velocity speed f(t) = 85t - 5t² I m/s m/s

A: Given; f(t)=85t-5t2, t=3.

Q: du Q2/ Find for u = eab sin-¹ q for u = əx at (x, y, z) = (3) Hint: sin dx sin x ¹x=√ eab sin-¹q…

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Q: The number of stolen bases per game in Major League Baseball can be approximated by the function…

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Q: Evaluate the integral S 0 16- using trigonometric substitution.

A: Evaluate integral ∫x216-x2dx

Q: X 1 2 3 4 2 -3 4 -3 -3 4 1 -2 5 -5 -4 -1 If p(x)=x f(x)-g(3x-5), then p'(2) = g'(x) 3 5 -4 2

A: Given, p(x)=x·f(x)-g(3x-5)

Q: If z= x cos(y) and if x = st and y = 2st then the partial derivative of z with respct to t is (2st)…

A: Let's find partial derivative of z.

Q: Resuelva: Consideremos la función f(x) = cosx a. Determinar los polinomios de Maclaurin Po, P₂, P4,…

A: Solution:Consider the Function: f(x) = cos(x)A Maclaurin series is given by f(x)=∑k=0nf(k)(a)k!xk In…

Q: Box your Final answer with a complete so Then Graph, emphasize the Limit. 2. lim I-3 x²+7-3 x+3

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Q: y = log₂ (sec 2")

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Q: -5 -4 -3 -2 T 00 7 6 10 5 4 3 2 1 O -2 -3 to -5 Y -6 -7 1 2 03 6 7 X

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Q: The marginal profit for selling à Bronco souvenir hats is modeled by P'(x) = 7 -0.02x dollars.…

A: Given P'(x)= 7-0.02x  Ro find the profit.

Q: 62 b Answer: Write each of the following functions in a piecewise format and sketch its graph. For…

A: Dear student ,as per bartleby policy we are allow to solve one question at a time.kindly repost…

Q: If y = (Inx)² + 15, find dy dx

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Q: car is parked 55 feet from a long warehouse (see figure). The revolving light on top of the car…

A: Solution: Given A car is parked 55 feet from a long warehouse. The revolving light on the top of the…

Q: x² + 5x³+6x² I lim 21-2 x²(x + 1) - 4(x + 1)

A: Given limx→-2 x4+5x3+6x2x2(x+1)-4(x+1)

Q: -1 1 -e CD What is lim f(1)-f(x) if f(x) = ex? | x-1 X-1

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