Consider the following function: f(x) = - -x4 + 2x³ +6 Step 2 of 4: Determine where the function is increasing and decreasing. Enter your answers in interval notation. Answer Separate multiple intervals with a comma. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Increasing on: O Never increasing Decreasing on: O Never decreasing ܡ Keypad Keyboard Shortcuts Previous Answers

Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: 8 Find the area bounded by y=-, y = 2x, y=0 and x = 3. X Using vertical element, what is the…

A:

Q: =iven √x³√4-x² dx. If we letz= √√4-x², which of the following integrals is correct using…

A: We have to substitute z=√(4-x^2)

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: Question 16 Find e > 0 such that the area of the region enclosed by the parabolas y = 2²-² and…

A: Given problem:- Find c> 0 such that the area of the region enclosed by the parabolas y = c2 -x2…

Q: Q5: Assuming that drag is proportional to the square of velocity, we can model the velocity of a…

A: We have to solve the problem using Euler's method.

Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

A:

Q: Example 99 Consider the set M = {(x, y) = R²: x,y #0}. Find M. Solution:

A: The orthogonal complement are subspace

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: Given plane z: 3x+2y+=-3=0, point P(1, -2, 3), and lines 1₁:¹¹ and 4₂: (3, 6,-5)+r(2, 3, 1), find:…

A:

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost…

A:

Q: how do i graph (steps) f(x)=x^2-4x ?

A:

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A:

Q: The function 5x+1 f(x) 1-In (x³ +e) has a Maclaurin Expansion O false O true

A:

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

A:

Q: Determine the equation of the hyperbola with center (−1, –4), a focus at (−11, –4), and a vertex at…

A:

Q: Determine whether the improper integral is convergent or divergent. 33) S ∞ dx x2/5 0 A) Convergent…

A: We know that integration of xn   is xn+1/n+1.   Here i attached the solution of this question.

Q: (13+3^3)/4+4/2*6/12 020 011 030 ONone of the above

A: In this question, we will use order of operations.

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: (5) Σ.1 η=1 η! 102n-1

A:

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: Convert the following parametric curve into Cartesian form: x=2 sint, y = 3 sin t O 3x² + 2y² = 1 O²…

A:

Q: Which statement is true about the following vector field? O Vectors all point toward the origin O…

A:

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

A:

Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

A:

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

A:

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: Find the divergence of the following vector field: 00 O 2z O F = (y, -x + z², 3x)

A: We can solve this as follows:

Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Prove that if w=f(x, y, z), x=r-s, y=s-t, and z=t-r then dw dw dw + + = 0. dr ds ôt

A:

Q: how to prove that a and b are divisible by d if and only if au+bv is divisible by d. a,d,u,v,b are…

A:

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Consider the series an +∞ n=1 and Et bn where cos(+) an = and bn = n3 n3 Since an 2 b₁ and 1 b₁…

A:

Q: 2 Evaluate r sin rdr using integration by parts.

A: Given∫ xsinxdx

Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: This is a problem related to function. Based on the general equation of the sine and cosine function…

Q: find differential equation of the following equation 2) (1 + x²)dy + (y-tan ¹(x))dx=0

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

Q: Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1.…

A: Given: y=16−x2 and y=−6x+9 Let's first find the intersection point of y=16−x2 and y=−6x+9 16-x2…

Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

Q: ol Down: Two Reflections . Graph the function g given by g(x) = -f(x). 2. Graph the function h given…

A: Reflection

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y ( ) = 0 O y =…

A:

Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…

A:

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

A:

Q: c) A loan of $A is made on 20 April 2015 at a simple interest rate of 6% per annum. The accumulated…

A: Please refer to the image below