If f(x) = x³ + 1.5x290x+16, find analytically all values of a for which f'(x) = 0. (Enter your answer as a comma separated list of numbers, e.g., -1,0,2) x=

Q: Differential Equation d²y dx² 1) d³ y dy dx3 dx 2) (D³ + 3D² 4D - 12) y 3) 2D4 +11D³ + 18D² + 4D 8 =…

A:

Q: Calculate the derivative. ƒ"(1), f(t) = 15t t+1

A:

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: The given curves are; y=x3 and y=2x2   Now find the point of intersection between the given curves.…

Q: (c) Given the following second-order differential equation d²y 2 +7y-3x²=5 dx² Find the general…

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

Q: (2x)√2x + 1 dx

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A:

Q: 5. Verify the three conditions of the hypothesis of Rolle's theorem are satisfied by the given…

A: 5)  As per our norms we have to write one question at a time kindly repost remaining questions

Q: (b) Which one of the following differential equations can be solved using the substitution approach?…

A:

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: What does it mean if a 3x3 matrix have 3 identical rows? How do you solve it? 2 -1 2 2 -1 2 2 2 -1

A:

Q: (e) Every function f defined on (-∞0, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞o…

A:

Q: Find Maclaurin's series f(x) = √²x.

A:

Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: Here M is the point that is 1/3 of the distance from point A to point B. Suppose that d(AB) = x And…

Q: Find the values of xER for which the function given below is both defined and continuous. f(x) =…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: B. Find the slope indicator (derivative) of the tangent lines of the given function and find the…

A:

Q: Evaluate √x² cos (2³) de dx

A: The given integral is: I=∫x2cosx3dx    ...1   As we know the common integral. ∫cosxdx=sinx+C And…

Q: Solve the system (2+i) z1+iz2 = 1-i 12321-322 = -1-7i

A: Given: Now,            2+iz1+iz2=1-ii23z1-3z2=-1-7iSubstitute…

Q: Evaluate e* cos(2x) dx

A:

Q: B. solve the following equation using Laplace transformation y' + y = sin(t) y(0) = 1

A:

Q: Evaluate sin (3x) dax

A:

Q: Compute f(c+h)-f(c) at the indicated point. f(x) = 6x²; c=3 f(c+h)-f(c)= at c=3. (Type an expression…

A:

Q: Q.22) The integral x-3 dx is convergent if the values of p are: a) (-0,3) b) (-∞, -2) c) (3,00) d)…

A:

Q: б бу-гу2 -14-292 y dx dy

A:

Q: (B) Find the dimensions of a box with a square base with surface area 44 and the maximal Volume.…

A:

Q: Evaluate x² + y² 1 x² + y² + 16 in the first octant. JJJ₂₂ dV, where E lies between the spheres x² +…

A:

Q: 16 + x² dx, x = 4 tan(0)

A: Bn

Q: Q.18) A series (1), is: 2k+1 a) diverge by alterating series test canyerge by comparison test b)…

A:

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I JA dA

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

A:

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal…

A:

Q: sin X SS € y dy dx

A: To evaluate the value of given double integral.

Q: N Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 31+2j-7k…

A:

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

Q: (b) Find the general solution of: = yx² - xy ex

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: We need to find rate of change of the base.

Q: f(x5) (16-x²)³/² dx

A:

Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

A:

Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: We have to find the interval of convergence

Q: 1. (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: Figure out the volume of a solid created by revolution of the the region be een two functions f(x) =…

A:

Q: Q.2) If a-1.a +3,a+12 are consecutive terms in geometric series, then the value of a is: 이쁨 이렇

A:

Q: tersection point A rectangle is to be inscribed in an isosceles right triangle in such a way that…

A: A rectangle is to be inscribed in an isosceles right triangle in such a way that  one vertex of the…

Q: Solve each triangle. Round answers to t 11) 10 21° A B A) m/B= 69°, a = 3.8, c= 10.7 B) m/B= 69°, a=…

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product…

A:

Q: scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

A: