2 32 32 0-22 3 y=5x-x2 y = x 1 2 3 4 (4,4) G

Q: 5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²-…

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Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Let F(t) = ( Find 1 t +4 i fr(t)dt ( )dt (don't include the +C) fr (t) dt = {{ -, 4 sin(-2t), √2t…

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Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

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Q: For the right triangle below, find the measure of the angle. Round your answer to 1 decimal place.…

A: Given data÷ The opposite side and adjacent side of the angle are Opposite side(OS)=10 Adjacent…

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 12 56°

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: Let r(t) = (-4t¹ - 4, 4e-2t, sin(-3t)) = Find the unit tangent vector T(t) at the point t T (0) = 0.…

A: Given; r(t)=<-4t4-4, 4e-2t, sin(-3t)>.

Q: 7) Solve the equation 2x²-3x-2 x+2 = 0 for x.

A: Given data÷ Solve the equation÷   2x2-3x-2x+2=0

Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: A rational fraction of the form g(x) = 0. Select one: O True O False f(x) is called a proper…

A: We know Rational fraction=fxgx, gx≠0

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

Q: If S (x − 1) (x − 3)(x + 7) 10 3 7 1 Adx de = [ 2015 ] dx + X 3 Bdx x + 7' then A+B =

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Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: Find the derivative of: 7 sin² (8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).…

A: Given: fx=7sin28x8   As we know that; The Power law: ddxxn=nxn-1 Apply the Chain rule: fgx'=f'gx·g'x…

Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: Find the inverse Laplace transform £¯¹{F(s)} of the function F(s) L-¹{F(s)} = = = 8 (s — 5)³ NOTE:…

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Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: Suppose the fourth order differential equation has a solution of y = -6e5xxsin(x) (a)  We have to…

Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 3x.…

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Q: -4y5+4 dy +4 ]d-

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Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

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Q: 4.7.5

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Q: D(x) = (x-8)², S(x) = x²

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Q: Write the equation of the line in slope-intercept form that passes thorugh (-3,4) and (5,4). Then…

A: Horizontal axis is x-axis and vertical axis is y-axis

Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: (b) General solution for this differential equation is

Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

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Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

Q: Consider the initial-value problem  y' = y, y(0) = 3. (a) Use Euler's method with each of the…

A: Given : Consider the initial-value problem  y' = y, y(0) = 3.

Q: Rewrite the equation of the line 2x+3y=6 from standard form to slope-intercept form

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: بنا -3 Amplitude: -2 Period: Midline: y = 7 6 Based on the graph above, determine the amplitude,…

A: We have given graph of the function  Amplitude is the height from the centre line to peak.…

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 2. Estimate y(1.4) with a step size h =…

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Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

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Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

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Q: a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A: Topic - Equations We are given a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5…

Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -2 ex cos (yz),…

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Q: Write the equation x+5y=20 in the slope-intercept form, then use the slope and the intercept to…

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Q: Find the tangent, unit tangent, and unit normal vectors for the curve r(t) = (2t²+1, 2 sin(t),…

A: Given that, r(t)=&lt;2t2+1,2sin(t),ln(cos(t))&gt;We need to find tangent, unit tangent and unit…

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A: We will find the required.

Q: Evaluate the following integral

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Q: Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

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Q: 2x²-2 limx→-1 ²+3x+2 =

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