Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2  

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2. ...

A: Given query is to find the transformation applied and then graph the function.

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Q: S(x+)* dx- X.

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1n+1+C ; n≠-1 And The sum/differenc...

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Q: Find the solution of the given initial value problem. cos t y + y(m) = 0, t>0 y(t) =

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)  

Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution. 

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Q: For the following items, consider the sequence {()"-}. 1. What are the first five terms of the seque...

A: We have to find 1st five point and draw the graph as well as the property of sequence

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at t...

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Q: The graph of f (x) is shown below. Which of the following statements are true? 7- 6- 4 %3D %3D -7 -6...

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Q: 2 Show that the following limit does not exist. lim Ty Cos y (r.9)-(0.0) 3r+ y²

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Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercia...

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Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is ...

A: Let's find. 

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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Q: 17. Factoring is a technique that always works when solving quadratic equations. True False

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Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: Find lim f(x) r→-5

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Q: Question 8 Evaluate dx A © VF-Vi+c

A: Given :∫3x2-2xdx

Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

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Q: dx x2 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb in...

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Q: T – 8r – 9 22. Evaluate 4 7² – 8x – 9 *xp: a. cosh -1X – 4 + C. sinh-1t – 4 +C b. 4 cosh -1x - 4 +C ...

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Q: aluate the integral by making the given substitution. (Use C for the constant of integration. Rememb...

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Q: For the given p-series, identify p and determine whether the series converges. -8/7 .Therefore the s...

A: The given series,       ∑k=1∞k-87

Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing th...

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: (2xy+y^2)dx-2x^2dy=0 when y=e and x=e solve using homogeneous equations

A: Given (2xy + y²) dx - 2x² dy = 0.   With x = e , y = e To find Particular solution of Homogeneous D....

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Q: -5 -4 -3 -2 -1 -2 -4 Find the following. lim f(x) = lim f(x) lim f(x) = f(1) =

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Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: CALC I | FIND AZTA of RELDON BOUNDED By Y=e, y=e^, x=1, x=2

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Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

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Q: 3 V1+x3 -dx x-2

A: Given:      ∫1+x33x-2dx      =∫x2 x3+13dx substitute u=x3+1                 dudx=3x2→dx=13x2du

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water a...

A: Given information: 2.5m=Minimum depth of water for a boat to floatdt=the depth as function of time a...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: 3. Express the quadratic function g(x)=-4x² +4x+5 in the form a(x-h)' +k by completing the square, a...

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