4. f(x)= 3x5 + 5x³

Q: A differential equation is a linear DE in y if it is 1st order in y it is 1st degree in y and all…

A:

Q: 2. For all equations e, if e is quadratic, then e has at most two real solutions. Which of the…

A: Note: As per company guidelines we are supposed to solve 1 question. So, kindly repost other…

Q: Sum of following series

A:

Q: 4s+3 (S-1)(s²-1) L¹.

A:

Q: 5 2. (-3-2)

A:

Q: Compute for the indicated power, following the format   a. x, y, n   b. modulus   c. reference…

A: According to our guidelines we have to answer three subparts if question with multiple subparts is…

Q: 2. Let S be the surface x² + y² = (2-2)², y Evaluate Jl F = (2x+y-xz, -x, -(2 — z)²), choosing a…

A: Using parametrization of the surface S

Q: New lab Sign in to your acco.... 2 3 W Graph of f The figure above shows the graph of f'(x), the…

A: Given that f' has zeros at x=-2, 23 and 4. Also f' has horizontal tangent at x=-1, 2 , 4. The given…

Q: 4 8 12 Evaluate 6 12 18 7 14 21

A: Solution

Q: 8. S dx (4x2-24x-27)3/2

A:

Q: 5. Find the sum of the series. (a) ἐπὶ 1 (b) Σ k(k+1)

A:

Q: L{1/2k³(sinkt-kt coskt)}

A:

Q: Given a surface z = 9x² - y². (a) Find the volume of the solid lying under the surface and above the…

A:

Q: dy Use Picard's method to solve dx xy, y (0) = 1 Find y3(1)?

A:

Q: Find the area of the surface generated by -y + e revolving the curve x = 2 Osys In 7 about the…

A:

Q: Find the cofactor of -3 in the determinant A -5 B -4 C) 4 (D) -3 1 -3 2 4 4 5 9 12

A: The cofactor of an element aij of a matrix is defined by : cof(aij) =(-1)i+j Mij where Mij is minor…

Q: Direction: For 1 and 2, find an equation of the tangent line to the graph of the function at the…

A:

Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

A:

Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

A:

Q: Q2: Determine the solution of each of the following initial value problem s (a)y"-y-6y= 2e-2x, y(0)…

A: Given initial value problem is ,                        y''-y'-6y = 2e-2x   ; y(0)=1 , y'(0)=1 Then…

Q: A balloon is slowly deflating -- during any one-hour period, it loses 0.8% of the helium that is…

A: Given, The volume of the balloon was originally 5280 cc. It loses 0.8% of the helium that is began…

Q: In the following exercise eliminate the parameter t. Then use the rectangular equation to sketch the…

A:

Q: Find other polar coordinates (r, theta) of the point in polar form given (3, (5\pi /6) for which r <…

A:

Q: Given that |a| = 20, find all left cosets of (a¹2) in (a).

A: This question from topic coset of group theory.

Q: Question 13 Find the cofactor of -3 in the determinant A -4 B -3 Ⓒ -5 D 4 1 4 4 -3 5 9 2 1 2

A:

Q: MY NOTES Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of…

A:

Q: 10.23 The Laplacian in cylindrical coordinates is 1 д ar 1 a?v a?v + r2 a$² ' ôz² av V. DV = 7²V = -…

A: Separation constant may be change due to some conditions.

Q: Let R be the region bounded by the graphs of y=x-1, y = 1-³ and the lines y = 3 and r = -1 as shown…

A: 1) Area of the region R is integration of 3 from -1 to 4 - integration of (1 - x2)from -1 to 1 -…

Q: For what value(s) of k is the matrix kk 01 k² 2 k 0 k k

A:

Q: 3. A sawtooth function has a period of 27 and has value S(t) = t for 0 < t < 2TT. (a) Calculate…

A:

Q: Let f: V → II Xabe defined as: a € A f(v) = (fa(v)) a € A where fa: V → X₁ for each a € A. Let II Xa…

A:

Q: A 2abc B) abc -a b с Evaluate-2a +4x 2b-4y 2c +42 x -Y 2

A: To find the determinant proceed as follows…

Q: B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and 7 are both analytic on a domain…

A:

Q: Given that bugs grow at a rate of 0.95 with a volume of 0.002. How many weeks would it take to fill…

A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: ∑n=1∞-1n+1n4nan=-1n+1n4na1=14a2=-242=-18a3=343=364a4=-444=-164a5=545=51024a6=-646=-32048

Q: 1 Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

A:

Q: ifferential equations: d²y dy .)- +10y=e²x + 20, given that when x = 0, dx² dx dy 1 y = 0 and dx…

A:

Q: Find the la place transform of the following. Simplify your answer. f(+) = 2+² e²+ - sin²+

A:

Q: Determine of f(t) = = the laplace transform 7 0 < t <3 3 < t < 5 2 0 t ≤ 4

A:

Q: 3 : Prove that the sum of the three variables of the sum exponent f(x) = Σe is strictly convex. For…

A:

Q: =t F(x) = √√√x+1 Find F(0). Find F'(x). sin(1-t) dt.

A: Value of the integration

Q: Given the force field F (x, y, z) = 1.) Show that SF · dR is independent of path without computing…

A: We know that the line integral of a vector field is path independent if the vector field is…

Q: Wheat is poured on the ground at the r

A: Given that Wheat is poured on the ground at the rate of 12 ft3/sec. The pile forms a cone whose…

Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

A: Given: Region bounded by R To find: Integration of volume of the solid

Q: D. Perform the following fundamental operations on each given functions. Then, determine its domain.…

A:

Q: 2. A student has the following quiz scores: 5, 8, 16, 17, 18, 20. Find the standard deviation for…

A: Given- A student has the following quiz scores: 5, 8, 16, 17, 18, 20. To find- Find the standard…

Q: 9. The region bounded by the graphs of y² = x, x=0, y=-1, and y=1 is revolved about the line y-2.…

A:

Q: (A) (B) (C) 0 D 168 - 1 - 168 4 Evaluate 6 7 8 12 12 18 14 21

A:

Q: 6 Let g(x) = and f(x) = ln x². Then f'"'(x) = g(x). Select one: O True False

A:

Q: Suppose there are gj: TR continue when j = 1, 2 with 91 92 and T is a cube contained in Rn-1 With…

A: Solution : To prove- ∫BfdV=∫T∫g1(x)g2(x)f(x,y)dy dV(x) B={(x,y) : x∈T,g1(x)≤y≤g2(x)} apply set B…