Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

Q: Find k such that the function is a probability density function over the given interval. Then write ...

A:

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

A:

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,    35.4

Q: 0 if x V2. Prove or disprove that f is continuous.

A:

Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x<.

A:

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

A: answer of given question is in step2 

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: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile i...

A:

Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

Q: The number of new members joining MySpace each year in the period from 2004 to the middle of 2007 ca...

A:

Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

A:

Q: 12 TT CoS + i sin + i sin 6.

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

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

A:

Q: Find the area of the triangle with vertices P(1, 4, -4), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

A:

Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

A:

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: (y- 2xy +6x ) dx-(x – 2xy + 2) dy = 0

A:

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 9 –...

A: Given:   f(x,y) = 9 - 7√(x2 + y2 )

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

A:

Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: ( a) Σ-1"+1, 2η+2 Vn3 + n2 + n n=1 ,2η n2n (b) en3 n=1

A: Given

Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B.

Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

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

Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

A: Given query is to find series converges or diverges

Q: Find the area of the surface obtained by rotating the curve y = 3x3 from x = 0 to x : 4 about the x-...

A:

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

A:

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4...

A: Given function, y=x3-4x+2Diferentiate w.r.t. xdydx=ddx(x3-4x+2)dydx=3x2-4dydx(x,y)=(2,2)=3(2)2-4dydx...

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

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

A:

Q: Given the function s(1) = 8

A:

Q: 3n (2х — 1)8 п4 + 1 n=1

A:

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

A:

Q: Is the series divergent, absolutely convergent, or conditionally convergent

A: This is a problem related to series and sum calculation. Based on the general formula we will determ...

Q: Current Attempt in Progress Consider the parallelepiped with adjacent edges u = 8i + 8j + k v = i+j+...

A:

Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

Q: Question 3. The parametrized curve x = cos(t) – 5sin(t), %3D 101 y = -10cos(t)+ sin(t) is an ellipse...

A:

Q: Given the function f(1) = 12 Use the Laplace Transform table to convert this function into F(s).

A: Given :- f(t) =t2  To find:- Laplace Transformation of given function

Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What ...

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet o...

Q: Consider the plane 9x + 3y + z = 27. (a) Write down the point at which the given plane intersects t...

A:

Q: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

A:

Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2 ...

A:

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

A:

Q: (-1)" 2'/n (2n² – 1)" en? n=1

A: