Find the Laplace transform of the funct f(t) = tsin2t

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

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Q: Given f(x, y) = x¹ + 5x²y³ – 5y6, find 4 fz(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) =

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: NOTE: Refresh your page if you can't see any equations. . sbstitute x=0.2

Q: (c) d (100K+200) ((-1)u) p (p)

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: Consider the following parametric curve. x = et - t₁ y = 4et/2, Set up an integral that can be used…

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Q: y X

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Q: Write Equations of a Line in Space Find the point at which the line 7 (t) = (1, 3, 8) + t( − 2, 5,…

A: Given form of line is r→t=1,3,8+t-2,5,6 We need to find the point where the given line intersect xz…

Q: The volume of a box is 10x3 + 27x2 + 2x - 24 with the length 5x - 4 and the width 2x + 3. Find the…

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Q: Consider the following function. g(x) = x³ + 3x² - 5 on [-3, 1]

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Q: Find the derivative of the function. y = (tan-¹(3x))² y' =

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(0) = (1 - V✓⁄² s)i - (1 –…

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Q: Suppose that an automobile's velocity starting from rest is v(t) = decimal place. O 3.3 ft/sec² O…

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Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

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Q: Find the speed over the path r(t) = (e¹-4, −5, 4t¯¹) at t = 4. (Use symbolic notation and fractions…

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A: Yes, you are right there is some mistake in part e. so, I am rectifying it in next step. Sorry for…

Q: Differentiate. y' = y = sec(0) tan(0)

A: Given, y=secθ tanθ

Q: Find the derivative of the following function:  y= tan-1(x) / x^4  and  log2 (x^2 + x - 1)

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A: Given query is to find the Indicated partial derivative.

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A: Given data:- The given differential equations, (a); 2t2y''+ty'-3y=0,       y1t=t-1 (b);  4x2y''+y=0,…

Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

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Q: b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y =…

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Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x³, y = 1, x…

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Q: Perform the following operations on the vectors μ = (3,-2), 7 = (0, −5), and w = (-4,-2). ü.w=…

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Q: State the slope of the line that is parallel and line that is perpendicular A) y=-1/4(x-2)-1 B) x=5…

A: To state the slope of the line that is parallel and the line that is perpendicularto each of the…

Q: For the function g(x)=x5 - 4x³ solve the following. g(x) < 0 Select the correct choice below and…

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 y = 12 where x is the…

A: Given: As nothing is mentioned, we will be answering graphically.

Q: Complete the description of the plecewise function graphed below. ● ***** ( f(0) = { { O AF Question…

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Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

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Q: Use a reference triangle in an appropriate quadrant to find the given angle. 2 (7/3) sec sec (3/3)-0…

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Q: Find the derivative

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Q: The expression sec² x tan³ x √tan² x+16 Otrigonometric substitution O algebraic substitution O…

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Q: 5. Let m be a constant. For x ≥ 0, the line y = ma divides the region enclosed between y = 2x - ²…

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Q: Given f(x, y, z)=√4x² + 3y² + 2z², find fz(x, y, z) = 2 fy(x, y, z) = fz(x, y, z)=

A: Given fx, y, z=4x2+3y2+2z2

Q: Find Distance and Equations in R³ Find the center and radius of the sphere with equation (x − 1)² +…

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Q: Question 35 Find the average rate of change over the given interval. Enter your answer in as a whole…

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Q: og of 9-14 Find the intervals on which f is increasing or decreasing, and find the local maximum and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: You Must solve the whole question completely. Don't solve partially one or two questions. If u don't…

A: Given, y=3x-6

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Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

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Q: Sketch the region enclosed by the given curves. Draw the approximating rectangle, label its height…

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Q: 3. For the function f whose graph is given, state the following. Motown (b) (a) lim f(x) 818 lim…

A: We need to find out the limits from the graph.

Q: 4 - 4y + y = 1fe³/

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Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x)=F(x)G(x) and…

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Q: pr 1) Given the position function s(t) = 2+²³ - 2 + ² - 60t + 3₁ where it is in seconds and s is in…

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