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Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 3x)y², y(0) - y(x)…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Evaluate the following integral. 3 5x(x - 3)dx 0

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: (x+y cot) dy-ydx = 0 (Homogeneous)

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Q: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral…

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Q: ſº 5u³ – 3u³ – 9du

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Q: Using the definition of derivative that incorporates the idea of limit, prove that if f and g are…

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Q: 17. A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the…

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Q: Which one of the following is the gradient of the tangent line at the point (6, -3) on the graph of,…

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Q: 2.) (cotx + tanx) ² dx

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Q: Q4:A/ By using Linear equation solve the first order differential equation y' + sec(x) y = cos(x)

A: Given y'+sec(x).y=cos(x)To find solution Of LDE:

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: Determine the orientation of the concaves of the following function

A: See the answer below

Q: Answer true or false? A function is not a function but is defined on a function space true Ofalse

A: Solution )  a function defined on the function space  Function space is set of function between 2…

Q: (a) (b) 2x3/2 7x² 2 7x + 9 lim x-00 lim x→ 2x3/2 3/2 +9 2x3/2 lim x+00 7√x + 9 7x 11

A: We know that when x tends to ∞, 1x tends to 0.

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: answer

A: We have to choose the correct option from the given options according to the given information

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: A company can produce LCD digital alarm clocks at a cost of $6 each while fixed costs are $50.…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: fx is linear, gx is linear and hx=fxgx

Q: sto

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Q: Q2: Find y(2) if D.E as give 2 dy+3y=sin 2x, y(0) = 6 dx Given

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Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: For the following set of planes, determine which pairs of planes in the set are parallel,…

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Q: 3 -21 3 -1 The Cofactor Matrix is :- -3 0 [-3 0 12] 606 6] 36 ن من من IF A [-3 0 12] 606 3-6 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: Use the graph of f to evaluate the following: 6 + f(x) 5 X 4 رها 3 N 1 1 2 4 5 The average rate of…

A: Equation of slope:  Slope =(y2-y1)/(x2-x1) The average change of the function over the given time…

Q: 8. Use the Integral Test to determine whether k4 Σk5 +55 k=1 converges.

A: Solve the following

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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

Q: Let y = f(x), where f(x) = 7x5/6 + 5x²/3. Find the differential of the function. dy = X

A: The objective is to find the differential function.

Q: The figure to the right shows the velocity, v (in feet/second), of a runner for 0 < t < 15 seconds…

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Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: Find an explicit solution of the given initial-value problem. dx dt = 7(x² + 1), x(7) = 1 X ||

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Q: WA #

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Newton’s Law of Cooling Formula The greater the difference in temperature between the system and…

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: Let f(x, y) = x² - In (36-4x² - y²). Then the domain off can be represented by the blue region in…

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