r(t) = (t, ln(t), 0)

Q: Can you explain and show me how to solve this problem for applications of the integral: x = (1/2)y,…

A:

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

A:

Q: x B 8- X x2-x-2

A: Given, x-8x2-x-2

Q: Question 1 | Let R(x) = x38x² + 12x X-2 A. Write R(x) in simplest form. C B. Sketch the graph of…

A: Given R(x)=x3-8x2+12xx-2

Q: Given f(x) = a) f'(x) b) f'(1) = [ = 2x² tan x sec x > answer the following:

A: The function is given by fx = 2x2tanxsecx To evaluate: The expression of f'x and the value of f'1

Q: Find the area of the region enclosed by the curves y=x²-7 and y = 9. The area of the region enclosed…

A: This question can be solved using the concept of area between two curves.

Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³1)

A:

Q: 5. [3] Determine the value of k when x³ + kx² + 2x -3 is divided by (x-1) and the remainder is 2.

A: Solve division method

Q: (cos x-cosy-cotx) dx - sinxsiny dy=

A:

Q: 31.10(m-5)²-9(m-5) -9

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve (x + 4y + 3) dx = (2x - y - 3) dy a. (x - y)ln |xy| +3(x - 1) = C(x - y) b. (x (x+y)ln + y)ln…

A:

Q: 12. If $5000 is deposited in a bank paying r% interest (r = interest rate), the amount 3 years later…

A:

Q: 3. Use the integration by parts to evaluate the following integral by assuming u = 5.³ x2…

A:

Q: Find all values of x, 0 < x < 2π, for which the graph of f has a horizontal tangent (= all points at…

A:

Q: K|3 0 sin(3x) cos(x) Integrate By Parts

A: Solved using the given formula

Q: Write the quadratic function in standard form. f(x) = x2 + 16x + 59    f(x)= ?   smaller x-value=…

A:

Q: V -5 -4 -3 57. 4 3 2 01 -2 -1 -1 -2 -4 -5 1/2 3 4 5 MathBits.com X

A: Given data÷ Find the range of the function shown in the figure÷   Definition÷ Range ÷  It is the…

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: D; E; Factor the expression. 3x²+11x-20 Rationalize the expression and simplify. √14 √5-2

A:

Q: 니xㅋ X-2

A:

Q: 4x + 1 4x² + 1 Find f'(x), and then evaluate ƒ' at x = 2. f(x) =

A: f(x)=4x+14x2+1

Q: A B C D E F f(x) X

A: To determine the points at which exactly two of fx, f'x and f''x are zero.

Q: Let Am 40 -17] Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: we can find eigen values and eigen vectors to find the solution.

Q: For this discussion post, I will ask you to sketch some graphs that meet a limit condition and…

A: To be found - Sketch of different functions with given conditions. Topic - Function, limits &amp;…

Q: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

A:

Q: If f(x) = (sin(x) S 4 + t dt and g(y) = = [ f(x). f(x) dx, find g^(1). 6

A:

Q: Find the equation of the tangent line. cuberoot(7x-6) that is perpendicular to the line 12x+7y+2=0

A:

Q: Find ||7e – 4f||, assuming that e and f are unit vectors such that ||e + f|| = √√. (Give an exact…

A: We have given that....... e=1, f=1 Since,           e+f=32 ,  we have                32= (e+f).(e+f)…

Q: Solve the following IVP y' = e- (2x - 4) dr de == y(5) = 0 r(1) = 2

A:

Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: (6x+y²) dx + (2xy-3y²) dy =o

A: Topic: Differential Equation   The answer is given below:

Q: 3. An object is thrown vertically upwards with an initial velocity 20 ms ¹. The rate of displacement…

A:

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

Q: Problem 4. Use the Substitution Rule to calculate each of the following integrals. You should show…

A: Please see the below picture for detailed solution.

Q: d. √³|x² – 3x − 4|dx - -

A:

Q: 2. Consider M(x, y) + N(x, y) = 0. (a) Suppose we can find a function F example of such an equation…

A: Given that Mx,y+Nx,ydydx=0

Q: Find the area of the surface generated by revolving the given curve about the y-axis. y = √36x², -5…

A:

Q: 16. (x − y ln y + y ln x) dx + x(ln y − ln x) dy = 0.

A: The given differential equation is; (x-ylny+ylnx)dx+x(lny-lnx)dy=0

Q: 4. (y-2) dx-(x-y-1) dy = 0, y (0) = 3

A: 4) The given differential equation is; (y-2)dx-(x-y-1)dy=0, y(0)=3. Repost the next question.

Q: Suppose that a function f(x) is defined for all real values of x except at x = c. Can anything be…

A:

Q: y-tu n Fig. 2 a) lim f(x) b) lim f(x) c) lim f(x)

A:

Q: Instructions: Given: y=-3(x-1)² +12 Match column A: Match the correct answer from column B with each…

A:

Q: Find the limit. lim X-0 lim X-0 2+5x+ sin x 3 cos x 2+5x+ sin x 3 cos x (Type an integer or a…

A: To calculate limit put the value value of x and simply calculate it Please see the solution in next…

Q: What is/are the x-value(s) of the relative minimum/minima? Select the correct choice below and, if…

A:

Q: 1. Basic Integration a. fx(x + 1)dx b. S √ √x+x² dx x C. √₁²|x-1|dx

A:

Q: K Graph the function. Then answer these questions. a) What are the domain and range of f? b) At what…

A:

Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each…

A:

Q: Sketch the parabola y = -x² + 7x + 18 and shade the area enclosed by the parabola and the x-axis.…

A:

Q: Given the function f(x) = 2x¹ - x³ - 4x² + 7x-5 find f""(3)

A: Given function is fx=2x4-13x3-4x2+7x-5 We have to find f'''3

Q: h(x) = (lx - 21 (4- 2x if x # 2 if x = 2

A: