Find the average value of the function f over the interval [0, 15]. 4 f(x) = x + 1

Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

A:

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

Q: differentiate y = In (x2-1/x2+4)2

A:

Q: he regions where sinx < x. (

A: Topic:- trigonometry

Q: tion f(x) given below, evaluate lim f(x) and lim f(x). X48 X118 f(x) = x + √√x² + 3 answer below:

A:

Q: e coordinates of a point on a circle with radius 20 corresponding to an angle of 3 your answers to…

A: Topic:- trigonometry ratio in circle

Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A:

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

A:

Q: Describe the advantages and disadvantages of using linear scale axes versus logarithmic scale axes…

A:

Q: Using implicit differentiation, find Provide your answer below: dy dx Content attribution dy dx √xy…

A:

Q: Solve cos(x) = - 0.73 on 0x < 2π There are two solutions, A and B, with A B A: B = ||

A:

Q: or values of x which the given the function y=x+1, has a 4.) Find the value maximum or a minimum…

A: You need to find out the critical points then solve for maxima &amp; minima. The explanation part is…

Q: Given r(t)= , find the tangential and normal components of acceleration, for t>0.

A:

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

A:

Q: Determine the critical points of f(x) = er³-2x²-7x Ox=-2 and x = 55393 O There is no critical point.…

A:

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

A:

Q: State the order of the given ordinary differential equation. (1-x)y" - 3xy' + 6y = cos x Determine…

A: Order = highest derivative order = 2

Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

A:

Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

A:

Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: tody + y² = 0 dt

A:

Q: Find the total number of permutations of the word 'ASSASSINATION', where all vowels are ALWAYS…

A: We have to find the number of ways

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Write the equation of the circle centered at (1, 10) with radius 3.

A:

Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

A:

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose c = 11 and A = 55 degrees.

A:

Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

A:

Q: Given r(t)= , find the curvature. T

A:

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

A:

Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: f(x) = 45x6

A:

Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…

A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

A:

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: 13

A:

Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: Find the tangent line, in slope-intercept form, of y=f(x) at the specified point. f(x) = - 5 3 2 -1+…

A: Given function, f(x)=5x-3x+2x2f(x)=5x-3x-12+2x-2

Q: 5- Evaluate: f Sin (2x7 - 3) dx x6

A:

Q: S 3x+1 - dx x²-x-6

A:

Q: 4. Let v = (v1, v2, v3), w = (wi, w2, w3) be two non-zero vectors not on the same line in R Suppose…

A: answer is in next step. please give a like !!!

Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: 3. Let R be the region below bounded by y² + x² = 9 and (y-2)2 + x = 1. (0,3) (a) Set up a (sum of)…

A:

Q: Betermine the value of k for which the following planes are perpendicular: π₁ = (1, 2,7) + s(4,2,0)…

A: π1 = (1,2,7)+s(4,2,0)+t(k,1,2)  First need to find the normal of the planeIf the plane in the form…

Q: Find the equation of the tangent line to the curvey = 4 sina at the point (¹²). The equation of this…

A:

Q: 5.494949... = 5. 49494 100000 X

A:

Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Evaluate lim 00 0-1/1/201 O None of the choices ¹ 0-1/201 O 14 tan z 1 x cos x

A: