For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints. 2. determine the coordinates for the point of inflection if it does exist. 3. what is the range of value overvwhich the functionis decreasing?

Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the...

A:

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

A:

Q: o be 66 centimeters, with a possible error of 0.9 centimeter.

A: answer of given question is in step2 

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: 3n (2х — 1)8 п4 + 1 n=1

A:

Q: Find the gradient of the function and the maximum value of the directional derivative at the indicat...

A: Gradient of a function f(x,y,z) is given by,          grad(f(x,y,z))=i∂∂x+j∂∂y+k∂∂zf(x,y,z) Maximu...

Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 – 1)...

A: Given problem:-

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: 21-24 A tank is full of water. Find the work required to pump the water out of the spout. In Exercis...

A:

Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

A:

Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

A:

Q: x5 dx 3 (36x2 + 1)7

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Q4. Approximate the value of f xv2x² + 1dx using the trapezoidal rule with n = 6. Compare this resul...

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

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: 2.

A: ∫x2ex dxBy integration by parts

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

A:

Q: dx for 4xy - 5x + 2y3 = - 42, with the conditions dt = - 6, x=2, y= - 2. dt Assume x and y are funct...

A:

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the tank...

A: Here we will find all asked quantities,  

Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

A:

Q: 4x Estimate the error in the quadratic approximation of f(x,y) = e sin y at the origin over the regi...

A:

Q: Hew-2 Find the directionat derivative of the funCtion X+XCos7-y Sinz +yat the faint Pe (2,=ly0 towar...

A: Answer is following-

Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its li...

A: We have to determine the limit of the sequence.

Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...

A:

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4,1, –8). (a) Find the volume of t...

A: The volume of the parallelepiped spanned by vectors a→, b →and c→ is given by a→×b→·c→ We know that ...

Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

A:

Q: The radius of a spherical balloon is increasing at the rate of 0.7 cm/minute. How fast is the volume...

A: We have to determine volumes of sphere changing rate

Q: (*q ۔yi( - ريدو )ود( ل )(

A:

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: 2. Fill in the following blanks and graph the following function: y= 2 sin x - 4 a)amplitude, b) ref...

A:

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: 3 dx dy +zXxgd x = X %3D Ans: y

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

A:

Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

A:

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A:

Q: It takes  18 hours for 12 people to plant  4 hectares of rice field. In how many hours could 9 peopl...

A:

Q: age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end of ...

A:

Q: Evalnate. the. followin..deuble.integrals.by.conver.king.b.. polar.Cto.r.dinates. Gp xpx Sf- Ans.: A...

A:

Q: Find for the given function. w= 10z2 e?

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A:

Q: Find the average rate of change for the function over the given interval. 3 between x= 4 and x 7 y%3...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: d²y y = f(x) and x = e', prove that = xf'(x) +x²f"(x). %3D %3D dx2

A:

Q: find d^2y/dx^2: y^3=4x^6

A:

Q: xf (x² )dx if / fx)dx = 5. Find Enter the exact answer. f(x² )dx = -2

A: find ∫-20xf(x2)dx  

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

Q: We model pumping from spherical containers the way we do from other containers, with the axis of int...

A: To find the amount of the work.