Find the unit tangent vector for the motion of r(t) = < 2sin 2t, 2cos 2t, -4t >.

Q: 15.What is the first derivative with respect to r of f(x) = (? – 4)(3x – O A. 6x о в. (х +2)(х -2) (...

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Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the d...

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Q: Find an equation of the normal line to the curve at the given point. Express the answer in slope-int...

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Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: V3 The slope of the curve y = y -x² at the point V3 is 2 -- 4

A: Follow the procedure given below.

Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(c) + log,(c +...

A: To find: log3(c)+log3(c+4)   Formula: loga(xy)=loga(x)+loga(y)  

Q: equation

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Q: da Evaluate x² V4

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Q: lim f(x) if f (x) = - ² – 2 if x 1) X f(x)

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Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: nd the derivative of the function: y = 3x (6z – 5. elect one: y' = 36x – 45x² y' – 18z – 30z² y' - 1...

A: y=3x(6x-5x2)

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: 1 3. lim coS x 14. x-0 5. lim 4x+7

A: Given query is to find indicated limits.

Q: Let y=f(x) be the solution to the differential equation dydx=x−y−1dydx=x−y−1 with the initial condit...

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Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the ...

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

Q: Properties of Exponents Which of the following are TRUE regarding f(r) = log, x (b > 0 and b ± 1)? C...

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Q: Find the general solution. x²y²(xdy+ydx)= 8y³dy a. O a. x°y³+6y4=c а. O b. *+c x²y² = 6y Ob. Ос. x³y...

A: x2y2ydx+xdy=8y3dy

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

Q: a?, x = 4, and y = 0 16 Find the volume of the solid obtained by rotating the region bounded by y = ...

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Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;...

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent lin...

Q: Find the interval of convergence of E n(x – 8)" n=2

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Q: Relation 1 Relation 2 Domain Range Domain Range b рaper d -9 sky -1 sky 2 раper -5 moon Function O N...

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Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate S- x Vx2-n dx 2. Evalu...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: find all of the critical points and local maximums and minimums of each function. (b) f(x) = Vx – 2,

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: rection: Read then solve the question carefully. Click the letter of the correct answer nd the deriv...

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Q: Find the area of the region bounded by f (x) 3D а у 20— Зх — 2х2 and the x -axis using Simpson's Rul...

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Q: 1 dx exactly and show that the result is Evaluate 1+ x2 . Then, find the approximate value of the 4 ...

A: Formula ∫ 1/(1+x2)dx = Tan-1(x) Trepizoidal rule I = h[f(xo)+ 2[ f(x1)+f(x2)+f(x3)....]+ f(xn)]

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: bra ph the following Functions and show domains and ranges of the m 3. 2-%=2seck %3D 3-y= Vczx)z %3D

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Q: D. 12.0 An electric charge produces a total electric field of 6 Coulombs. Calculate the electric flu...

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Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

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Q: 5. Find by implicit differentiation for x + y = xy. dx

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Q: bartleby.com/questions-and-answe SEARCH & ASK CHAT Vx MATH SOLV a) Total mas (m) - lamina is given b...

A: Follow step 2,3,4  According to guidelines we solve only first three parts. 

Q: 9.lf y = sin (4x – 5), then what is y'? O A. y' = - cos (4x – 5) O B. y' = - cos (4x) O c. y' = cos ...

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Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: 4. Homogeneous Differential Equation: (r+2ry –4y' dx-(r² -&ry-4y'dy =0 x=2; Use the substitution y- ...

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Q: Use the equation = E x" for |x| < 1 to expand the function , in a power series with centerc 0. 3-x (...

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Q: The equation of a family of circles with center on the y-axis is

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Q: Homogeneous Diffe rential Equation: (x² + 2xy – 4y² kdx (x² –8&.xy – 4y° kty = 0 %3D Use the substit...

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Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...