n-1 3n-1 Determine whether the series Σ=1 is convergent or divergent. If it is convergent, find its sum.

Q: Find the critical numbers of the function f(x) = -x55x¹ +5x³ answers to three decimal places. X = X…

A: Given,            fx=-x5-5x4+5x3-9To find : Find the critical numbers of the function

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: Evaluate the integral (8x +9y)dx + (3x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: We can observe that x is ranging from 0 to 1. We have the following. So,…

Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

A:

Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

Q: ← + New D Screenshot (1603).png 91 My Drive Computers Shared with me Recent Starred Trash Storage…

A:

Q: Let C be the curve represented by Ŕ(t) = (cos 2t, 2√3t, 5 — sin 2t). - ㅠ Determine the curvature of…

A: To find out the curvature of C.

Q: Express the following function in terms of unit step function and hence find their Laplace…

A:

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: Let vector A = and vector B = . Determine the vector projection of A onto B.

A: Topic:- vector algebra

Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

A:

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: 7 My Drive Computers Shared with me Recent Starred Trash Storage Buy storage 1 Screenshot (16…

A:

Q: ******* +70+ -10 -8 -6 -4 -2 ✔ +10+ y H 6 8 10 Q Write the standard equation for the hyperbola…

A: Given,

Q: Consider the function f(x) Find the value of A: A = - 6x² + 6x 5. f(x) has a critical point at x =…

A:

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6(in(n)) Find y"(x). y"(x) 6 x…

A: Solve

Q: Find the area of the region inside the inner loop of the limaçon r= 1 + 2 cos 0.

A:

Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

Q: Evaluate: O 3 0 S''(√ri+ - i + ln(2) j+ 4 1P ( 1 , 2 + (1+1) 1] (-1) ² e 3 0 2 + + m (2) 1 + (1 - 1)…

A:

Q: If N₂- My M equation = Q, where Q is a function of y only, then the differential M + Ny' = 0 has an…

A:

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x)= 0.254 the…

A:

Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: لما D the double integral of f(x, y) over D is f(x, y)dxdy = ubmit Question

A:

Q: 3. Let o(a) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4.…

A:

Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

A:

Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

A:

Q: Let f(x) = (x³ +25)/4. The arc length of the graph of y = f(x) over the interval [6, 10] is given by…

A:

Q: Given: F(s) = 1/(3s+5). Evaluate: f(1) Use 3 decimal places

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

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}…

A: Given function f(t)=(et-e-t)2  f(t)=e2t+e-2t-2×et×e-tf(t)=e2t+e-2t-2   Formula L(eat)=1s-aL(c)=cs

Q: Determine whether the equation is exact. If it is exact, find the solution. (e'siny + 3y)dx -…

A:

Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution of given question is written in below steps.

Q: Find the value of b for which the differential equation (ye5ay + x) dx + (bxe5y) dy = 0 is exact,…

A:

Q: If Nx - My M equation = Q, where is a function of y only, then the diffe has an integrating factor…

A:

Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

A:

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A:

Q: Determine the vector field of F. F(x, y) = 4i - 2j O O Y X X

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj mammon M T Pinnal bandill SEREN C -9 in C…

A:

Q: Solve: x"-x+ 5 y'=t y" - 4 y-2x' = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: inverse laplace transform

Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

A:

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

A:

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: Split the function according to the limits

Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: a) Find each derivative. If it does not exist, write DNE. i. \/'(0) b) /'(3) Find lim sin (2x) tan…

A:

Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2