Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

Q: If we use the trigonometric substitution sec(x) 5 then we get t = √25t² - 1=tan(x) Select one: O…

A:

Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

A:

Q: The area A = ² of a circular oil spill changes with the radius. At what rate does the area change…

A:

Q: √1-y 6.(2-x-y) dx dy 0 0

A:

Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

A:

Q: The area bounded by the x-axis, y = x², and y = 2 - x.

A:

Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

A:

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

A:

Q: Every student who wishes to enter the public library at Hotel de Ville (HdV), in the center of…

A: The solution is given below

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

A:

Q: Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a…

A: If the tangent line of a curve at a point is vertical line then its slope is infinite.

Q: Which of the following statements must be true? 1. If f is differentiable, then II. If f is…

A: Solution of given question is written in below steps.

Q: Use logarithmic differentiation to find dy dx · if y = x¹(1+x), x > 0.

A:

Q: A closed box with square base and vertical sides is to be made from 150 square feet of cardboard.…

A:

Q: Find the area of the given region. y = sin(x) R|C I

A: We are asked to find the area of the region

Q: 18. If A = 6 a. d. 14 5 0 10 10 1 14 0 01 7 0 b. 0 11 16 C. 8 9 12 14 3577 NOV00 7 572 7 6 7 1 2 61…

A: In this question we have to multiply Matrix.

Q: Find the centroid of the region bounded by the graphs of the equations using any method. y = √9-x²,…

A:

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: Let f(x,y)= lim f(x,y)? (23) (0,0) x+2y² Which of the following is true about

A:

Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

A:

Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

A:

Q: Both rectangular form and polar form are used to represent the same complex numbers. Explain, using…

A: I have to explain why we are using different coordinate system.

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: 2. If z = x+iy = (x, y) then (2,-3)(-2, 1) is A. (1,8) C. (-1,-8)

A: Given,             z = x + iy = (x,y) To find   (2,-3)(-2,1)

Q: Question 15 Given ƒ (2) - This function is discontinuous at the point A O z=0 x = -2 O=12 O == 2 <…

A:

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

A:

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A:

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

A:

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

A:

Q: Determine the area of the shaded region given in the following figure. The area of the given figure…

A: We have to find the area

Q: Find the area of the given region using any method. y 1 49 - x² y

A:

Q: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 37 1x1 + 6x2 24…

A: As per the instruction, we will be answering the first one. Kindly post again for others. Given:

Q: How did you found x and dx? I 'm lost in that part

A:

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: If x is between 0 and 10 then the cost is $40.    That means F(x)= 40 if 0≤x≤10     If x is more…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x − 3 _ y + 1 4 2…

A:

Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: √2 2 sin-¹(x)dx

A:

Q: Let f(x) = 2x+1, if x1 O (-∞, 1) U (1,00) O (-∞0, 1] U (1, ∞0) OR O (-∞0, 1) U [1,00)

A: topic- limits and continuity

Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h = if f(x)=x² +5. (Simplify your answer.) ...

A:

Q: 01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

A: This question can be solved using the concept of definite integrals and modulus function.

Q: Consider the series Σ +∞ (-1)" n=1 n Which of the following statements is true? The series diverges…

A: Correct option (b)

Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

A:

Q: c) I following 1. Determine whether the integral is convergent or not. 10 [." : 6 dx x-6 Vx

A:

Q: give an example of derivative

A: We have to give an example of derivative