di +1000- +250000i =0, given df i'(0)=100. [i=100te-500] d²i d1² i(0) = 0 and Laplace Derivativ

Q: 00 (-1) 22k+1 k! Determine whether the series converges absolutely, converges conditionally, or…

A:

Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

A:

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: 7. dx ггтV)

A:

Q: Question The following table gives the approximate increase in dollars in the average price of a…

A:

Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: Convert the Polar coordinate to the Cartesian coordinate. 1. r= 1+2r cose 2. r=1-cos8

A:

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A:

Q: Question Find the average value of f(x) = - over the interval [0, 2]. Submit an exact answer using…

A: The objective is to find the average value of f(x).

Q: 20. e ³.x (e²x + 1)² dx

A:

Q: (9x-4y+4)dx-(2x-y+1)dy=0

A:

Q: Let g(x,y)=2xy with x=x(s, t)=s²+t² and y=y(s,t)=s/t. Calculate gs and gt. Express your final…

A: Differentiate

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

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

Q: Find the function that passes through the point (1,2) and whose derivative is dy/dx = (2/x^3) - 4

A: Topic:- application of integration

Q: Find the two values of k for which y(x) = ex is a solution of the differential equation y'' - 14y' +…

A: Solution is here

Q: 12. (a) Use the alternating series test to show that the series converge [(-1)*+¹/ k k=1

A:

Q: 8. Explain what transformations you would need to apply to the graph of y = f(x) to graph the…

A: In this question, We want to know the transformations that we apply to the function y=f(x) to graph…

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area

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

A: We use the formula: For n = 1, 2, 3, . . .

Q: OA-3 Close Date: Wed, Jun 1, 2022, 11:59 PM Question 3 of 9 Meadow Company wants to invest its net…

A:

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

A:

Q: ч 4х+5 чу+3 ІІ хр бр -

A:

Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

A:

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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

Q: Q9: The Law of Sines ( a) Given: B = 10° C = 135° c = 45 Find: A-? a-? b-?

A:

Q: If your get car get 32 miles per gallon, how much does it cost you to drive 30 miles when gasoline…

A:

Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

A:

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: Given problem:- You are building a cylindrical barrel in which to put Dr. Brent so you can float him…

Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

A:

Q: The equation of a line is defined by y = k*x^5.2, where k = h/b^n as shown. If b = 1.1; h= 17.1.…

A: We need to find arc length. NOTE - As per Bartleby's Guidelines we can solve one question from…

Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

A: First write this in vector form then put this on the graph.

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

A:

Q: Ao -47 -2π 2tr 2TT 21 t²dt = = =²1²³² = 31² t 82 ㅠ cesnt dt = 21 t² sinnt = [² s + n 2t c3nt 2sinnt…

A:

Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

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

Q: Let f(x,y) = 3x4 - 4x³y + 2x2y2-y. Let f, be the partial derivative of f(x, y) with respect to x.…

A:

Q: fx arccos x dx 2.

A:

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: Find the average rate of change of the function over the given intervals. 3 f(x)=2x³ +2; a) [3,5],…

A:

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

A:

Q: Q1. Construct the reduction evaluate Ssind in ndx and use it to Qala) Use the inverse function…

A:

Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

A:

Q: 8- Find the derivative of (x²+1)x

A:

Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

A:

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat F(x) = Sinx 29=0

A:

Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

A: