Computek(k+1) k=1 Hint: Use the fact that Ek-1(ak-ak-1)= anao (this is called telescoping) and k(k+1)==k+1²

Q: So ye -2y dy

A:

Q: For questions 3.11 to 3.14, you must use the definition of the derivative as a limit. Either use the…

A: The equation of a line passing through the point and slope m is

Q: If f(x) f'(x) = f'(4) = 3 sin z 3 + cos x then

A:

Q: Given the equation below, find dy dx -54x7 +8x⁹0y+y¹0 90 = - 45 dy da Now, find the equation of the…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A:

Q: 1 1 x2 − 6x + 10 dx

A:

Q: 35-36 Find the area enclosed by the given parametric curve and the x-axis. 35. x = ³ + 1, y = 21 -…

A:

Q: Evaluate the following expressions. Note: The answer must be given as a fraction, NO DECIMALS. If…

A: we are given that -2/5

Q: derivative y = 3 2(4x-1)

A:

Q: Evaluate the following. Give your answer as a simplified fraction. NO DECIMAL numbers allowed. If…

A:

Q: cos(x) Find the derivative of cot(x) by using sin(x) the quotient rule on this form, and then…

A: Cotx=cosx/sinx

Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

A:

Q: (x) = ₁² ² sin(t) -4x 1+t2 If f(x) = -dt, then f'(x) =

A:

Q: 3. Differentiate the following and simplify. a) y = x²-1 x²+1 b) y = sec x tan x

A: (a)

Q: 2. Find d [ex (x4 * (x² +1)x] dx ¹]. X

A:

Q: Let f (x) f'(x) = = sin−¹(x²) – tan−¹(6x + 1). Find the derivative of f. 6

A:

Q: 1. FIND THE AREA DEFINED BELLOW (a) y ≤ 5 2(x²+1) y=1-1/2/2/2 L y²1-x x 20 (b) BOUNDED AREA BETWEEN…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: The given differential equation .The aim is to find the solution to the differential equation that…

Q: x = −5+2s 32. a) Convert the plane to scalar form. ₁: y = -3s + 2t z = −1+t 32. b) Determine how the…

A:

Q: Differentiate the function. 7-x 6 +x f(x) =

A:

Q: Find شمار 2 dx y = 5x4 4 -7x

A:

Q: Find equations for the line perpendicular to the plane x + 5y - 2z = 6 and through the point of…

A:

Q: Given f'(z) = 5 cos z - 11 sin z and f(0) find f(z) =

A:

Q: A hemispherical dome of radius 20 feet is to be given 11 coats of paint, each of which is 1/100 inch…

A:

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: Show that f(x) = x² + 12x +41 -2 -x² 12x - 31 ifa >-6 2 if x < -6 if x = -6 has a removable…

A: The given function,The aim is to prove the function has a removable discontinuous at  and redefine…

Q: Using either the triangle inequality or the reverse triangle inequality, prove the following: ii)…

A: To prove the statement |2x−3|≤5 when |x−3|≤1, using the triangle inequality. The triangle inequality…

Q: Let /(x) = √ 4ï² + 5x + 5 Make sure to simplify your answer using positive fractional exponents.…

A:

Q: For the given values of an angle a, find the terminal point P(x, y) on the unit circle. and y= (a)…

A:

Q: Differentiate the function. y=3x^4/(6-5x)^2, dy/dx

A:

Q: Given the system of equations (D+5)x+ D²y = cos(t), D²x + (D+7)y= ln(t), (a) Write the system as a…

A: Given the system of differential equation.

Q: hp üz_³[k_³ − 1] 2²

A:

Q: Find the derivative of the function at Po in the direction of u. x-y xy +3' g(x,y) = Po(2,-2), u =…

A:

Q: Find the derivative of the function. y' = y = 1 ▬▬▬▬▬▬▬▬▬▬▬ 8 arctan(ex)

A:

Q: Date (2) (3 x² + y cusx) dx + (sin x - 4y³) dy so solve using exact equations X = 0 y = 2 Answer: 0=…

A:

Q: Find the first, second, and third derivative of the following function. h(x) = (-8x-4)³ a. h'(z) =…

A:

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

A: Given that  where G,u and v are differentialblle functions

Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.

Q: 1. Let a=⟨0,1,−5⟩ and b=⟨4,0,1⟩. Compute: a+b=⟨____,_____ ,_____ ⟩ a-b=⟨____,_____ ,_____ ⟩…

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Find the first and second derivatives of f(x). Simplify your answer using positive fractional…

A: The given function is

Q: Find the derivative of the following function. y = 9x 5 2 + 2x 1 2 + x -2

A:

Q: · 2 * 2 of -2 2 $ The graph above shows the base of an object. Compute the exact value of the volume…

A:

Q: 3) The twice-differentiable function fis defined for all real numbers and satisfies the following…

A: Given that f is twice differentiable function for all real numbers and satisfies the conditions

Q: Solve the separable equation dy/dx + 4x2y4 = 0, with initial value y(0) = 1.

A: Take integration on both sides.

Q: for g(x) = ln(1-x^2) and f(x) = sqrt(x + 3), determine the subset of the domain of g on which the…

A: To determine the subset of the domain of g(x)=ln(1−x^2) on which the composition f∘g is…

Q: dz дz Find the values of and at the given point. дх ду 2z³-4xy + 5yz + 2y³ - 35= 0, (3,3,1)

A:

Q: Verify that the function y(x) = cos(3x) is a solution to the differential equation y′′+ 9y= 0

A: The given solution is,Take derivative.Take the second derivative.

Q: Let P be the plane containing the point (-11, -2, 1) which is parallel to the plane z + 3y + 4z= -3…

A:

Q: C₁ y = √x - 2 + 1 Show 4 pts, including the endpoint." (No decimals. Is no-calc. formative What are…

A:

Q: 800 In x The demand function for a widget is given by p = 120 + where p is the price of the widget…

A: