Given the piecewise function defined below, determine the value of f(x)dr in simplest form. 3x2 for x < 1 f (x) = 6. for x > 1

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following co...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Let a = ci + jand b = 8i + 6j. Find c so that the angle between a and b is. Round your answers to fo...

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Q: Use the sketchpad to show the steps of synthetic division and using the remainder theo- rem to find ...

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Q: x'(2 - x)? dx

A: Let,I=∫ x32-x212dxSubstitute  u=2-x2Differentiate du=-2xdxAnd x2=2-udu-2=x.dxI=∫ x32-x212dxI=∫ x22-x...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: III. Derive the following HCA 1. The unity rule: = 18 dx du dx 2. The quotient rule: xp dx

A: f(x)=xDerivative formula:f'(x)=limh→0 f(x+h)-f(x)hf'(x)=limh→0 (x+h)-(x)hf'(x)=limh→0 hhf'(x)=1ddxf(...

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Q: 1. Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by findi...

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Q: 3-4 Change from rectangular to cylindrical coordinates. 3. а. (4,4, —3) Answer + b. (5/3, –5, v3) An...

A: To Convert Rectangular coordinates (x,y,z) to Cylindrical coordinates (r,θ,z) :           As x= rcos...

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: 1) Linearize: 3x arourd 天=l %3D

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Q: し y(x) ¥(0)%=3

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Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: Which of the following sets of vectors in RS are linearly dependent? Note. Mark all your choices. O ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

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Q: A scientist discovered a new material that expands at an extremely fast rate. After studying this ma...

A: Given problem:- A scientist discovered a new material that expands at an extremely fast rate. After ...

Q: A particle travels along the a-axis such that its velocity is given by v(t) = (t0.5 + 5t) sin (2t). ...

A: To Find: Distance travelled by partical in interval 0 to 4

Q: Detersmine it the following ースメー4 fernetion is eontinuas at 2 f(x)=f2x²2x X-2 if メ=2 If y= vã (x-1),...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as a...

A: Given problem:- Use vectors to find the lengths of the diagonals of the parallelogram that has i+ j ...

Q: Find the directiona f(x, y) = x³ – y³, P(4, 3), v = (i + j)

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: name one real world example of when you would use a quadratic functions and form an equation name o...

A: To name one real world example when we used quadratic functions and a polynomial.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

A: Solve

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: Determine the coterminal angle of 0 that is in the interval [0, 27) -29T 0 = 4

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Q: Graph the following on the given axis. Note there are two problems, see the back side. 1. Graph the ...

A: Draw the graph of given condition f' x&gt;0  if x≠3f'' x&gt;0  if x&lt;3f'' x&lt;0  if x&gt;3 f has ...

Q: Given vector V = (2, –2) , find 3v graphically by stretching the vector by its tip and then writing ...

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Q: Change the exponential expression to an equivalent expression involving a logarithm. 73 = 343 log734...

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Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) &gt; g(x) so they do not ...

Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

Q: Please answer this correctly. Thank you for your help.

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -3i + 8j - k v = 3i + j - k O pa...

A: Two vectors u and v are orthogonal if and only if u.v =0 .

Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x) =-+...

A: Solve differentiate

Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: Find f. 3 f'(x) = 1 - x? f(x) =

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Q: Activity 1: Determine whether the given functions are continuous, differentiable, neither, or both a...

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 2

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Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Given the function Y(s) = Use the Laplace Transform table to convert this function into f(t). f(t) Y...

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Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration o...

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: бх + 7 (x+2)°

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 8j + k v = 8i - 9j (a) radi...

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