A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

A:

Q: Determine an equation for normal to the curve y = at x = x = -2.

A:

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: Given problem:- A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup.…

Q: 5) An isotope of lead decays according to the function remaining, in grams, after t minutes. a) What…

A:

Q: २ 29x-x² dx

A: Given problem:- Evaluate ∫√(29x-x2) dx

Q: Which of the following five series n+1 1 Σ nvn n=1

A:

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

A:

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

A:

Q: Evaluate limo (1-x) a O-1 00 01

A: Given problem:-

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A:

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: Prove or disprove that the series below converges n-1 Σ(-) n=1

A: Let's prove that given series is converges or not.

Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

A:

Q: 2x² + 3x + 3 (x + 1)³ - dx

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 8, f'(9) =…

A:

Q: dx f(x2²x+10) ² २

A:

Q: Differentiate f(x) = a4x4 -3ax² with respect to x. Assume that a is a constant. f'(x) =

A: f(x)=ax4-3ax2 differentiate with respect to x

Q: Use the Laplace transform to solve the given initial-value problem. y'' + 2y' + y = 0,  y(0) = 1,…

A: A detailed solution is given below.

Q: dy ({})y+3

A:

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A:

Q: 1)y=(8+7x³) Find the derivative of the following functions 2)y = (x +5)*(2x + 3) 3)y=√(x²+3)²

A:

Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Function f(z)=u(x,y)+iv(x,y) is said to be analytic in a region R if:-(i) ux,uy,vx,vy exist and(ii)…

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

A:

Q: 3.1 Let f(x) be a differentiable function with f(4)= e and f'(4)=-e. Determine the linear…

A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A:

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

Q: Evaluate the indefinite integral du =

A: The solution of the integral is given below:

Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

A:

Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A:

Q: 121 [[fx’y* (r’y – xyz – yz dxdyda - 01-1 3. Evaluate the integral t

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We have to use the Euler method

Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

A:

Q: Investigate if the integral is convergent or not. Justify your answer.

A:

Q: along the line AM WI a magnitude of midpoint of the vertical side OB of the parallelepipe Express F…

A:

Q: Find the critical values (if any) of the given functions. With solution please.

A:

Q: Find f'(x): f(x) = sin(2x) O 4sin (2a) (2 ln 4) cos(2x) O 4sin (2x) (2 cos(2x)) O 4sin (2x) (In 2)…

A:

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2) O…

A:

Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: lim-0 OI Oll O III OIV e² - x Not Indeterminate کے

A:

Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: Evaluate the triple integral 9(z, y, z) dV over solid B. B B = {(x, y, z) | 5² ≤ x² + y² ≤ 7², x ≥…

A:

Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 5.494949... = 5. 49494 100000 X

A:

Q: 6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare…

A:

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

A: