Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 20x^3 + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)         Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)       (b) Find the local minimum and maximum values of f. local minimum value

Q: calculate th integral SSo(x+y) dydx where D is th reigon that deter mined in thees Curves : Y = x, Y...

A: Solution is given below:

Q: 6. The value of i i is i=1 Answer:

A: Given sum, ∑i=16i

Q: 8. -r first recognizing the sum as a Riemann sum 4. Evaluate the limit by for a function on [0, 1]: ...

A:

Q: 1 -dx is an improper integral 1+ x2 Select one: 8 True False

A:

Q: Find the critical points c for the function ƒ and apply the Second Derivative Test (if possible) to ...

A: For critical points put f'(x)=0. If f"(x) at critical points less than 0 than f(x) is maximum at thi...

Q: -n] Find the indefinite or evaluate definite integral: /cot x csc (x)dx a. dx x* -1 b.

A:

Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

A:

Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the...

A:

Q: xy' + y = x?y? 2

A:

Q: Use the nth-Term Test for divergence to show that the series is div n=1 O converges, 2 O diverges co...

A: The given sequence is ∑n=1∞nn+2 Compare with ∑n=1∞an ⇒an=nn+2

Q: If L ds6 l(s-9)2-36) so $ (t) is? 그a) -30"et b) –5t6et c) –30te 9t d) -5t6

A: Given that: L-1-30d6ds61(s-9)2-36=f(t)sinh(6t)

Q: By choosing u; as the right endpoint of each subinterval [1,3], [3,5], [5,7], [7,9], the approximate...

A:

Q: Question 11 Integrate f 9z2 - 5+dz Type only the numeric value below and be sure to show all of your...

A:

Q: I = 1 + (x-a)k dx [x-a

A:

Q: answer this inverse laplace

A: Apply Laplace inverse on both sides

Q: 8. Solve the general solution of y(x² – y²)dx + x(x² + y²)dy = 0 A. 2x² In(xy) + y² = Cx² B. 2x² In(...

A: Differntial eqaution

Q: C A B Use the Law of Sines to determine the distance of DC. Leave your answer in surd form. Choose t...

A:

Q: f u = and v = v1, v2, v3 > are two vectors in 3-space show that u × v=    i j k u1 u2 u3 v1 v2 v3

A:

Q: Use the Mean-Value Theorem to show that if f is differentiable on an interval, and if |f'(x)| < M fo...

A:

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. O diverges 5...

A:

Q: The domain of a one-to-one function g is (- o,0], and its range is (8,00). State the ..... is . (Typ...

A: Given that: 1. Domain of function g= (-∞, 0] and range =[8, ∞)2. Graph of function f.

Q: g(x) 18r/3+ 9r4/3 a. Find "() and simplify. b. Determine the x-values for all the INFLECTION POINTS ...

A:

Q: 4- Lincar differential equations Problems: Solve the following differential equations, 1) xy'-y x co...

A: in multiple question we are only allowed to answer only first question ,for the rest question please...

Q: What is the general solution of (D² +1)y = 0 ? y = C1e cos a + C2e sin æ %3D Oy = C1e" cos a + C2e" ...

A: Here the auxiliary equation is m2+1=0 =&gt; m= i, -i

Q: In a class of 80 students, 48 are girls and, of these, 22 are going to college. Of the 32 boys in th...

A: The solution of the problem is given in the next step.

Q: V3 The value of (y- 2)3/2 dy is | Answer: 3 8.

A:

Q: What is the order of the differential equation which has a general solution given by y = Cie-2a + Cz...

A:

Q: 2 n(n+2)] n=1

A:

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

A:

Q: 2. So (x²+4)² 5. x'dx

A:

Q: Find and classify the absolute extrema of the function g(x)=x^2−144 on the domain D=(−12,12). If the...

A:

Q: [n5/3 n+2] n=1

A:

Q: 0. F (x, y, 2) = x i + yj+5 k, S is the boundary of the region enclosed by the cylinder &² + ² = 1 a...

A:

Q: Question 2 1) Assume that a tumour grows at a rate of G(t) = mg/day at time t !3! days. What is the ...

A:

Q: Question 2 1) Assume that a tumour grows at a rate ofG G(t) = ti mg/day at time t days. What is the ...

A:

Q: Question 4 By choosing u; as the left endpoint of each subinterval [3,5], [5,7], [7,9], [9,11], the ...

A: Dear user you have attached only one question which is question 4 only.

Q: What is the solution of the differential equation of xy dæ + (a2 + y²) dy =0 ? 2x2y-2 + 1 = C Oy' (2...

A: We have to find solution of given differential equation.

Q: Derive the following function (x² + y³)6 + 6x²y³ = 3y %3D

A:

Q: The oeficieats. boxquasion facx - thesome show x²md x. the 4. メー that a t 2b=0 where a and6. itegers...

A: In the expansion of ax - bx25, The coefficient of X2 = The coefficient of X-1

Q: Question 1. Consider the sorting model that we discussed in class. For each of the following product...

A:

Q: What is the solution of the differential equation of xy dx + (a? + y²) dy = 0 ? O 2a?y-2 + 1 = C Oy*...

A:

Q: Question 5 By choosing u; as the right endpoint of each subinterval [1,3], [3,5], [5,7], [7,9], the ...

A:

Q: Question 14 Find dz using the substitution method. Note that your answer should clearly show how you...

A:

Q: Activity 5. Give the coordinates of the terminal points corresponding to the following arc lengths o...

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+6 - dx x2 + 2x O 3 ...

A:

Q: Use sin 0 = 0, sin = 1, and sin n = 0 to estimate sin). (Round your answer to three decimal places.)...

A:

Q: Solve the integrals using appropriate substitution.

A: Solving the problem by method of substitution.

Q: -3 (а) 2*/2 k=1

A: see below the answer we will use the ratio test

Q: A thermometer inside a house reads 30° C . The same thermometer was taken outside the house, where t...

A:

Q: Find the series' radius of convergence. (x - 8 )n 5+ 3n n= 0 00, for all x O 2 O 1

A: We will use limit formula to find radius of convergence