Consider the function f(x) = x² + 2 on the interval [0, 1] using the left Reimann sum with n=4. Find the area.

Q: (d) 4x²y" + y = 0, (e) y" + 16y = 0, Y₁ = √√x ln x Yı Y₁ = cos(4x)

A: see below the answer and calculation

Q: Use linear approximation to estimate the value of the following  cos(pi/4 +0.01)

A:

Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

A:

Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12…

A:

Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 4x²-x³, (1, 3) y =…

A: Solution: f(x)=4x2-x3, (1,3)

Q: (2x-1) dx 2 x (x-1) In (x²-x)

A:

Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A:

Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: Show that the substitution v= ax + by + c transforms the differential equation A first-order…

A:

Q: Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines:…

A:

Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

A:

Q: Find the point(s) of intersection 2x + 7y = 10, x-1 7 (x, y, z) = (if any) of the plane and the…

A:

Q: Determine which of the limits below are in a form where L'Hôpital's Rule applies. For those limits,…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: woman deposits $6000 at the end of each year for 10 years in an account paying 8% interest…

A:

Q: G(x) = − 1x². +3 H (x) = − 1x² – 7 M (x) = − 1x² + 1/

A:

Q: A function y = g(x) has a derivative shown below for -3 ≤ x ≤ 3. Three -3 O Four 312 3 (b) Where is…

A: Answer: The solution is given below:

Q: 8. Solve the following. (a) Find the equation of the tangent line to the graph of f(x) = x²-9 at x =…

A:

Q: Find all critical points of g(t) t = t = = This critical point is ---Select--- (smaller value)…

A:

Q: A flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing…

A:

Q: Find the derivative of y = x²ª dy/dx =

A:

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: We have to find the rate of change of volume.

Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A:

Q: Estimate the area under the graph of F(X)=X2 +6X+11 over the interval [0,8] using four approximating…

A: Estimate the area under the curve.

Q: Consider the following planes. -2x + y + z = 2 10x - 5y + 2z = 4 (a) Find the angle between the two…

A:

Q: A) 77. Shown above is a slope field for which of the following differential equations? dy x-y dx y…

A: The answer is in step2.

Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

A:

Q: Determine the intervals on which the function is concave up or down. 1 – 1 t w(t) = +6 (Give your…

A:

Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

A:

Q: If f(x) = (x + 2) sin (√x + 2), what is the average value of fon the closed interval [0, 6]? A B…

A: Given function: fx=x+2 sinx+2.We have to find the average value of f on the closed interval 0,6.

Q: Find the general solution for the differential equation. dv 6- - 12xy - x = 0 y = = 1/2 + Ce=x² y =…

A: Given differential equation:- 6dydx-12xy-x=0

Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

A:

Q: Find the area of the parallelogram with vertices A(-5, 5), B(−3, 8), C(1, 6), and D(-1, 3).

A:

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of 3…

A:

Q: In 1997, researchers at Texas A&M University estimated the operating costs of c sizes. A quadratic…

A: Given: c(q)=0.021q2+26.9q+313

Q: Find dy/dx using the method of logarithmic differentiation In(x) (4+5 2)(a) when y = (4 + dy/dx =

A: y=(4+5x2)lnx  d dx(lnx)=1xd dx(xn)=nxn-1lnxn=nlnx

Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

A:

Q: Find the derivative of the function. y' = -1(x - √ ₁ + x²) 1 y = 9 tan-¹(x-

A:

Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

A:

Q: Find the average value of the function over the rectangle [1, 2] × [0, 4]. X f(x, y) = 4 √y x3

A:

Q: Find the derivative

A: Given: h(x)=(x-3)e5x-7x4

Q: Let f(x) = 3x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

A:

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

A:

Q: Find the slope-intercept form of the equation of the line tangent to the graph of fx=3*сos лx at the…

A: To find the slope-intercept form of the equation of the line tangent to the  graph of fx=3-x cosπx…

Q: Use Lagrange Multipliers to find the maximum value of f(x, y, z) = 2x + 2y + z, subject to the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

A: