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5. Find the e-coordinate of the point on the curve : +3y3 = 3ay where the...
How many real roots does the equation æ4 – 9x2 + c = 0 have in...
How many real roots does the equation æ4 – 9x2 + c = 0 have in the interval (-3,0]? Hint: use the Mean Value Theorem (Rolle's Theorem). Show your work in the PDF version of the test.
Find the x-coordinate of the point on the curve 23 + 3y3 = 3xy where the...
Find the x-coordinate of the point on the curve 23 + 3y3 = 3xy where the tangent is horizontal. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle...
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle...
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
9. Find the absolute maximum value of the function (1) = 2/32 - sin(4x) on the...
9. Find the absolute maximum value of the function (1) = 2/32 - sin(4x) on the interval (0, 8/12). Show your work in the PDF version of the test.
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the...
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the interval [0, 7/12]. Show your work in the PDF version of the test.
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the...
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the interval [0, 7/12]. Show your work in the PDF version of the test.
5. (4pts, each) In each part, list the point (A-E) on the graph off whose x-coordinate...
5. (4pts, each) In each part, list the point (A-E) on the graph off whose x-coordinate satisfies the given conditions. (a) f'(x) > 0. and F"(x) > 0 (b) f'(x) <0. and f"(x) = 0 (c) f'(x) = 0.and f"(x) < 0 6. (12pts) Find all critical numbers of f(x) = x + Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. Show your work to get a full...
use matlab and show all codes and work the question continues from this 4. Write a...
use matlab and show all codes and work
the question continues from this
4. Write a function with header (A, V - myCone (r, h), which outputs the total area A and volume of a cone with base radius r and height h. 5. Write a function - myMatrix (myvec, m, n) which creates an m-by-n matrix A, as in Problem 3, but for arbitrary values of mand n and any length of vector myvec. Hint: the function can use...
How many real roots does the equation æ4 – 9x2 + c = 0 have in the interval (-3,0]? Hint: use the Mean Value Theorem (Rolle's Theorem). Show your work in the PDF version of the test.
Find the x-coordinate of the point on the curve 23 + 3y3 = 3xy where the tangent is horizontal. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
9. Find the absolute maximum value of the function (1) = 2/32 - sin(4x) on the interval (0, 8/12). Show your work in the PDF version of the test.
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the interval [0, 7/12]. Show your work in the PDF version of the test.
Find the absolute maximum value of the function f(x) = 2V3x – sin (4x) on the interval [0, 7/12]. Show your work in the PDF version of the test.
5. (4pts, each) In each part, list the point (A-E) on the graph off whose x-coordinate satisfies the given conditions. (a) f'(x) > 0. and F"(x) > 0 (b) f'(x) <0. and f"(x) = 0 (c) f'(x) = 0.and f"(x) < 0 6. (12pts) Find all critical numbers of f(x) = x + Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. Show your work to get a full...
use matlab and show all codes and work
the question continues from this
4. Write a function with header (A, V - myCone (r, h), which outputs the total area A and volume of a cone with base radius r and height h. 5. Write a function - myMatrix (myvec, m, n) which creates an m-by-n matrix A, as in Problem 3, but for arbitrary values of mand n and any length of vector myvec. Hint: the function can use...
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