f(x+h)-f(x) simplify the difference quotient for the given function. f(x) = 4x2 - 5x+1 f(x+h)-f(x) (Simplify your answer.) %3D

Q: Evaluate the following indefinite integrals using appropriate integration formula, Complete answer p...

A: The integration of (4sin3y-6)/cos3y

Q: Find the Taylor polynomial of degree 4 for the function f(x) = In(x), centered at a = 2.4. (Leave yo...

A: Let's see the general Taylor series of f(x) centred at a.

Q: 7 Find the area of the region bounded by the a graphs of f(x) = x+ 2x+1 and gix) = 3x+3. Write solut...

A: The given curves are: f(x)=x2+2x+1          and          g(x)=3x+3

Q: A boat is pulled by two ropes so that it travels horizontally.  See diagram.  If a force of 200N is ...

A: A boat is pulled by two ropes so that it travels horizontally. If a force of 200N is needed, we have...

Q: Find all the second-order partial derivatives of the functions P f(x,y) = x³y+ e*y* O f(x,y) = (x + ...

A: We have to find fxx(x, y), fxy(x, y) and fyy(x, y).

Q: ASAP Thank you!

A: option (B) is correct  see the calculation below

Q: Let r= x i + y j + z k and r= |r|. 30. Verify each identity. (a) ∇ . r =3 (b) ∇ . (rr) = 4r (c) ∇2 r...

A: Given, we know that, So, And, Used concepts:

Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its displaceme...

A:

Q: What is the Riemann sum of f over the closed interval from x=2 t 213)+f{5)+f(7)+f(9)] 2[f4)+f{6)+f{8...

A:

Q: calculate the arc length in 0≤x≤π/4 of the curve .

A: Formula of arc length :                                       L=∫ab1+dydx2dx

Q: Compute the limit (x,y)→(0,0) of 8xy / 2x^2+ 4y^2 along the following paths.   (a)  Along the y-axis...

A: Compute the limit limx,y→0,08xy2x2+4y2 along the path (a) Along the y-axis (b) Along the line y=3x (...

Q: Suppose f is continuous on [1, 5] and the only solutions of the equation f(x) = 6 are x = 1 and x = ...

A: Given that suppose f is continuous on [1,5] and the only solutions of the equation f(x)=6 are x=1 an...

Q: Find the inverse of the matrix, if any.

A: We will solve the following. 

Q: 1. Partial Fraction (First Image) 2. Inverse Trigonometric Function (Second Image) Pls. Write Clearl...

A:

Q:

A: Separate x and y variable . Then integrate. 

Q: function and the region bounded by the x-axis around the x-axisbeing rotated.By plotting the graph o...

A:

Q: Se tup the sigma expression for the area 2 under the graph of flx) = 1 +2x* from X = 1 to X = 2 usin...

A: According to question we have to set up the sigma expression for the area under the graph for the gi...

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the x-axi...

A:

Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one shee...

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one shee...

Q: Let u = ⟨3,2,4⟩ and v = ⟨2,1,1⟩.   (a)  Compute the scalar projection Comp u v of v onto u. (b)  Com...

A:

Q: Given the series: 90 900 9000 7 49 343 does this series converge or diverge? O converges O diverges ...

A: By ratio test series ia divergent

Q: Evaluate the following indefinite integrals using appropriate integration formula, Complete answer p...

A:

Q: Find the surface area of the volume of revolution for the curve f(x) = In|sec x| around the x-axis o...

A:

Q: Let z = f(x,y)= x^3+ xy+ y^4    (a)  Use differentials to estimate Δz as x changes from 1 to 1.05 an...

A:

Q: 3. Which graph represents the solution to the following system of linear inequalities? a I + y > 22x...

A:

Q: Find the average of the function f (x)= 2x³ over [0, 8]. a. Average 1,024 O b. Average = 32 C. Avera...

A: solution.

Q: Answer number 27 and 28 only

A:

Q: Given the functions: x = y 2 – y and x = 0. Find the volume of the solid obtained by rotating the re...

A:

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec. a...

A: Volume of cylinder = πr2h  r= radius of cylinder  h= height of cylinder

Q: Answer number 27 and 28 only

A: Solid of revolution

Q: Equilateral triange Ao B0C, is given. For every n, natural number, An, Bn, Cn are midpoints of sides...

A: Let's find percentage of triangle A0B0C0 that us shaded.

Q: You must use Let y=vx and dy=vdx+xdv

A:

Q: Let L(x) be the linearization of the cube root function at x-64. When using L(x) to approximate the ...

A:

Q: An object travels along the curve C with the position function r(t)= t^2i + 2tj + tk for t ≥ 0    (a...

A:

Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: help asap pls

A:

Q: dt 1) Show that converges. (Hint: Write as two integrals, from 0 to 1 and from 1 to ∞)

A:

Q: dz |3+2= 13) In the equation +C,t equals A. E 9-4= 3- 2- B. С. 6 D. 12

A:

Q: Solve and show all solutions. Given the parametric equation of a curve: x(theta)=sin theta−1 and y(t...

A:

Q: Find the Integral using integration techniques

A: We need to find ∫104x3-4x2+5xdx. So,             ∫104x3-4x2+5xdx=10·∫14x3-4x2+5xdx=10·∫15x+-4x+454x2...

Q: Let f(x , y )= x^2+2xy+3y^2.   (a)  Compute the gradient of f(x,y) at the point (1,1). (b)  Compute ...

A: Given; f(x,y) = x2 + 2xy + 3y2.

Q: JJ f(x.y)dxdy- Reverse the order of integration in f(x,y)dxdy- O A. e In(x) JI f(x,y)dydx e 1 В. f(x...

A: We have to reverse order of integration.

Q: 4 Consider the indefinite integral x° · Vx* + 2 dx: This can be transformed into a basic integral by...

A: We will solve the problem. 

Q: Solve the system with the operator method

A: The given equations are; x" + y" + x' - y' + x + y = 2t2 x' + y' + x - y = e2t

Q: b) Given a complex number z = 8i. i. Express z in polar form. i. Find all possible values of zs and ...

A:

Q: dx 15) Using trigonometric substitution, what is an appropriate value of x to evaluate f, A. 3 cos e...

A:

Q: What is the area under the graph of the principal square root function and above the x-axis from x=4...

A:

Q: evaluate the following indefinite integrals using appropriate integration formula

A: Let I=∫1+cosy dy

Q: The Taylor series for f(x) = x' at 3 is n(x – 3)". n=0 Find the first few coefficients. CO C1 c2 C3 ...

A: Use the formula for the Taylor series expansion and than calculate the coefficients.

Q: evaluate the following indefinite integrals using appropriate integration formula

A: The solution is given below