1. Find the area under f(x) = 6x² + 4x - 1 from x = 1 to x = 2.

Q: Use linear approximation to approximate √64.4 √64.4

A: Approximate the √64.4

Q: Show that F is a conservative vector field. Then find a function f such that F= Vf. 11) F(x,y) =…

A:

Q: Suppose you are designing a rectangular box with a square base. The materials of which the base and…

A:

Q: Solve the equation algebraically. Verify your solution with a graphing utility. 10) 3x²= 25-10x A)…

A: 3x2=25-10x

Q: Find two positive numbers with product 400 and whose sum is a minimum. Enter your answers in…

A:

Q: Replace ? with an expression that will make the equation valid. d −(6x + 5)² = 7(6x + 5)6 ? dx The…

A: Given is to find the missing value.

Q: 3) sin [Arccos (-1)] 2,

A:

Q: Find the points (x, y) at which the polar curve r = 1 + sin(0), horizontal tangent line. Vertical…

A:

Q: f(x, y) = cos² (9x – 3y²) of дх of ду

A: To find the partial derivatives

Q: Find a coterminal angle with measure 0, where 0° ≤ 0 < 360° 20) 650° 21)-224°

A: The given data is: 20) 650∘ To find a coterminal angle with a measure θ, where 0≤θ≤360∘

Q: Determine the concavity of the curve at t = 4: - 8t - 3, y = 2t² +9t + 7 x = concave down concave up…

A: To determine the concavity of the curve at t=4:x=-8t-3, y=2t2+9t+7

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A:

Q: Find the points on the curve x = t² – 4t – 3, y = t² + 18t + 6 that have: - A. a horizontal tangent…

A:

Q: An investor bought stock for $50,000. Ten years later, the stock was sold for $60,000. If interest…

A: Given: Present value= $50000 Future value= $60000 Time = 10 years

Q: Evaluate the line integral SF. dr where F = (-3 sin x, 5 cos y, xz) and C is the path given by r(t)…

A:

Q: Find an equation of the plane. The plane passes through (0, 0, 0), (5, 0,7), and (-4,-1,2).

A:

Q: 14. 15. Find the area bounded by y=-x² and y=2x. Find the average value of y=4x³ + 2x over [-2,5].

A:

Q: integral polar coordinates and evaluate it (use t for 0): th a = -pi/4 |, b = pi/4 10 -√/¹⁰ f²₂ dy…

A:

Q: Solve the equation A and 189 busing LU factorization (NOT by using A) given that -3-4 -55 [] - 190 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have and LU factorization is  so…

Q: Find the radius of convergence for: 32x² n! n=1

A:

Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=x²-6;y=3;…

A: To find the area bounded by given equations

Q: of Əf Find and for the following function. ax ay f(x,y)=x²-7xy + 7y² ax ||

A:

Q: Evaluate the limits. If a limit does not exist, enter "DNE" |x x + 14| x + 14 lim x→−14+

A:

Q: The heights of the girls in a particular college is normally distributed with mean 166 cm and…

A:

Q: Suppose f(0) = 9 and 5 ≤ f'(x) ≤9 for all x in the interval [-5, 5]. Determine the greatest and…

A:

Q: [sqrt(3n+1)] / [ 2 + sqrt(n)] does this sequence converge? or diverge? and why?

A: The given sequence 3n+12+n. We have check whether the sequence is converges or diverges.

Q: 3. Find lim x-3 x3 x-3

A:

Q: 30) cosß

A: in fourth quadrant cos is positive and tan is negative

Q: Evaluate. Be sure to check by differentiating. Se5x+3 dx

A: ∫eaxdx=eaxa+cdeaxdx=aeax

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax = 1. 4 (a) Find Σ f(xi) Δ i=1 (b) The sum…

A: Solving part b

Q: find sqrt(x^2+x). Check your answer by plugging in x=-1

A: Given query is to find the value of the expression.

Q: Approximate the area under the curve graphed below from x=2 to x = 7 using a Left Endpoint…

A:

Q: 7. Sketch the region of integration and write the integral with the order of dydx. In 2 2 To Se dx…

A:

Q: Find the order 3 Taylor polynomial T3(x) of the given function at x = 0. Use exact values. ƒ(x) =…

A: As we know that the nth order Taylor's polynomial at x=x0 is given by:…

Q: 7 Find T, N, and k for the space curve r(t)=7i+j₁t> 0. T(t)= N(t) = i+ 1-1² 4 √√₁+1²-1² +t j 4…

A: Solve the following

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: Given : marginal cost C'x=500-x3

Q: Find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal…

A: Let's find area under the curve.

Q: The continuous function g, consisting of two line segments and a parabola, is defined on the closed…

A:

Q: suppose that Σ n=1 sum of the series: A. B. an = - 7 and Σ. (2an + - 50) - n=1 Σ (2an + 5bn) : = n=2…

A: The given data is: ∑n=1∞an=-7∑n=17bn=7a1=-6b1=3  A) To find the value ∑n=1∞2an+-5bn

Q: Find the standard equation of the plane that contains the point (3, 2, 1) and the line given by (x,…

A:

Q: f(x, y) = af дх af ду 1.6 (x² + ( ² ) ²) ¹ * =

A: Given function:- fx,y=x2+y321.6

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

A: Please see the below picture for detailed solution.  Note : As per rule I have to solve only first…

Q: dy Differentiate implicitly to find Then, find the slope of the curve at the given point. dx 2x²-3y²…

A:

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A:

Q: The question is asking for CM/min. Are you sure this is the solution to

A:

Q: Suppose that the profit (in dollars) for a company when units of product are produced is given by…

A:

Q: g(r,t, z) = 7r(5 — cos(t)) — 2z dg 80% 80% 80 ər dg dt dg дz || ... 000 000 000 --- 000

A:

Q: Find the radius of convergence for: (6x)" n n=1

A:

Q: (d) lim x3 x² - 6x +9 x² - 5x + 6

A:

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: