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1.Use the limit definition of the derivative to prove ? ?? (??(?)) = ?? ′ (?) + ?(?) 6.
2. Assume that ?(0) = 2, ? ′ (0) = 3, ℎ(0) = −1, and ℎ ′ (0) = 7. Calculate the derivatives of ?(5?)/ℎ(4?) at ? = 0.
3. Find the volume of the solid obtained by rotating about ? − ???? the region between ? = ? and ? = ?^ 2 . Draw, label, and shade the region. Make sure to clearly draw the reference rectangle.
Please answer all show work. ASAP thank you 1.Use the limit definition of the derivative to...
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1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Statics
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2. The beam shown is supported by a pin at point A and a roller at point B. Draw the free-body diagram and determine the reactions at each support. 5 kips 4 kips 6 kips 3'-0" 7-0 6'-0 4'-0" L = 20-0"
Use the method of cylindrical shells to determine the volume of the solid obtained by rotating the region bound by y=2x+1, y=3, and x=4 about the line y = 10. (please make sure to use SHELL method and NOT disk method) thank you :)
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Finding Area by the Limit Definition In Exercises 47–56, use the limit process to find the area of the region bounded by the graph of the function and the x-axis over the given interval. Sketch the region. 47. y = - 4x + 5, [0, 1] 48. y = 3x - 2. [2,5] 49. y = x2 + 2, [0, 1] 50. y = 5x + 1, [0, 2] 51. y...
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Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
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- Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
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(-1)"21+1 3) Eno 221+1 (2n+1)! Find sum not convergence #7 means that the volume is oblamed brotating the region bounded by y=x and y=x. On region enclosed by 2 curves lies in Guad I. 7) Find the volume of the solid generated by rotating y = x and y = x? about the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending...
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correctly. Be sure to label the structures that are drawn. Keep in
mind this is starting from a Z configuration.
What two stereoisomeric alkanes are formed in the catalytic hydrogenation of (Z)-3-methyl-2-hexene? Draw and label the alkanes. In this reaction, what are the relative amounts of each of the two alkanes generated?