3. Find all the roots of the polynomial f(x) = 2x² + x³ +7x² + 4x − 4.

Q: Determined of the following. Do NOT simplify your answers. y = cos (ln(3+sinx)+tanh) 1.

A:

Q: The radius of a cylinder is measured to be 4 cm and the height of it is measured to be 5 cm. If…

A:

Q: Let y = sin(4x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Ay~ = Find the…

A:

Q: 9. A trough is formed by bending a 4m wide piece of metal into segments as shown. What angle 0 will…

A:

Q: Determine the required integrating factor: y dx = (ye"-2x) dy Oy O y² O e O 2e."

A:

Q: Find the solution of the differential equation r"(t) = (ellt-11,² – 1, 1) with the initial…

A:

Q: Solve the following DE: (x²+1) dx + x²y² dy=0 Oxy³ = 2(1+Cx+x²) Oxy³=3(1+ Cx-x²) O xy2=2(3+…

A:

Q: Given the differential equation (2xy — elnx-x²) dx + dy = 0: 1. Identify whether the differential…

A:

Q: 5. Let S be the region bounded by y = 23 and y = √ (a) Find the area of S (b) Find the volume of the…

A:

Q: (ii) (x - ²)4

A:

Q: Write an explicit formula for the sequence: 1 1 1 1 1 an 2 - — 6' 7 9 8 2 — 9 9 1 10 9 -.}

A:

Q: Solve for the relative max value of g(x) = 2x³ 16x² + 49 -

A: Given g(x)=2x32-16x+49

Q: 7. Determine the intervals of increase/decrease for the function f(x) = x²-7 x+4

A:

Q: What is Exponential Growth and Decay on population growth elaborate

A:

Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O 2x+y²(1+x)² = C O 2y² + x²(1+x)²=c…

A:

Q: Use cylindrical shells to find the volume of the solid that results when the red region is revolved…

A: Given, f(x)=x3, a=2, b=3

Q: 4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to…

A:

Q: Prove that |Re(2−7+z²)| ≤ 4 when |z|≤1.

A:

Q: Determine the type of DE (select all that applies): dr dᎾ + rsec0 = cos( Separable Exact None of…

A:

Q: Solve the following initial-value problem: y'+ (tan x)y=cos²x; y(0) = -1 O y = (sin x) (cos.x - 1) –…

A:

Q: 1 ns a) y = -x4q-omantics is now maxs oris no viiperib zmolizoup on lis 19war ni bobned od reum…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The functions fand g are differentiable for all real numbers, x. The table below gives values of the…

A: From the given table, we have to find a) The equation of tangent line at x=1 for the function…

Q: +∞ Σ η=1 η 3n7 + 1

A: See this solution in below..

Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A:

Q: 2. Determine the direction angles for vector w = (-3,-4,12) (ehem 2) Sairie er to vilinolev…

A: Given query is to find the direction angles.

Q: Given the differential equation (ysinx-cos²x) dx + cos x dy = 0 a. Determine if the differential…

A:

Q: Let f(x) 1 == +x. X 1. Find critical numbers of the function. Type your answer here to separate…

A:

Q: Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y =…

A: Determine the value of x=s+2t-u when s=2, t=5, and, u=3. x=s+2t-u=2+25-3=2+10-3=9 Determine the…

Q: Problem 2: Given the differential equation (yetanx sec² x - 1) dx + etanx dy = 0: a. Identify…

A: The objective is to solve the above question.

Q: 16. The length of a rectangle is increasing at a rate of 6 cm/min and the width is decreasing at a…

A:

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1 = and find 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x)…

A: Concept: The linear approximation presupposes that f is roughly a straight line close to a. The…

Q: Write the augmented matrix of the system and use it to solve the system using row reduction, clearly…

A: Given, x-y+z=6 -2x+3y-3z=-15 -3x+4y-z=-27

Q: Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a…

A: Given query is to find horizontal asymptotes.

Q: Find the indefinite integral. (Use C for the constant of integration.) sech(x) tanh(x) dx

A: ∫sech6xtanhxdxLet u=sech6x.=∫ -16du=-16uSubstitute back u=\sech6x=-16\sech6xAdd a constant to…

Q: +∞ n=1 (−1)" (sin())" nn

A:

Q: Find the derivative of the function. f(x) = In(cosh(x)) f'(x) =

A:

Q: [ 1 dx X x³ +1

A:

Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and circumference…

A:

Q: Consider the following table of function values. f(x) x f(x) 8.3 2.0 6.4 0.4 8.4 2.4 8.7 0.8 7.4 2.8…

A:

Q: Which of the following equations has a solution of the form F(t,y) = C. A. 3t+2y+ (3t+ 2y)y' = 0 B.…

A: Given :A.3t+2y+3t+2yy'=0B.3t+2y+3y+2ty'=0

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A: We know the arc length s cut off by an angle θ in a circle of radius r is given by, s=rθ

Q: The weights of a large number of miniature poodles are normally distributed with a mean of 8 kg and…

A: Given, The weights of a large number of miniature poodles are normally distributed with a mean of 8…

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 21 meters per…

A:

Q: (x² + y² + 1)dx + x(x − 2y)dy = 0 -

A:

Q: Given: t + y² + (4y3 + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 B. 0 O c. 1/2 OD. 1/4 OE.…

A: Given t+y2+4y3+2tyy'=0 and y1=0

Q: The function f(x) = 2x^3 - 27x^2+ 108x+ 10 has one local minimum and one local maximum. Use a graph…

A: Consider the function  f(x)=2x3-27x2+108x+10

Q: Solve the problem. A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved.…

A:

Q: 5. Determine the equation of the tangent to f(x)=2x-2 where x = 3

A: The given function is  f(x)= 2x-1x-2 Find the equation of tangent line at x=3.

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: