Write an equation for each graph.

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to…

A: Given: The gives series is ∑n=1∞sin212nn3   To find: We have to use The sum of the first 10 terms to…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: 583 What is the area of the region bounded by the graph of the polar curve r = A B D 7T 9 14m 9 2 1+…

A:

Q: Let C be the curve y = = 18+ 16- 14- 12- 10- 8 4 2 2x³ for 0 ≤ x ≤ 2.1. 0.5 1.5 za Find the surface…

A:

Q: Evaluate the double integral. 16% (x² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

A:

Q: max U=xyz subject to x+2y+3z=36 use lagrangian method

A: Given: max U=xyz subject to x+2y+3z=36

Q: 4. Let function f: [-1, 1] → [-π/2, π/2] be defined by f(x) = sin(x), and let function g: R→ (-/2,…

A:

Q: uppose that m1 3, m2 5, and m3 1 are roots of multiplicity one, two and three, respectively, of an…

A:

Q: f g(s,t)=10s*e3st-7t^2 gs(s,t)=

A: Given g(s,t)=10se3st-7t2

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's 6 √° VI+ Trapezoidal…

A:

Q: Find the limits in the graph. Use DNE if the limit does not exist. I lim x->-2 f(x) = lim x->0 f(x)…

A: The given graph is:

Q: 110. π/3 -π/3 /sec²x - 1dx

A:

Q: Express the function in the form f o g. (Use non-identity functions for f and g.) u(t) = √✓tan(t) {0…

A: given  u(t)=tant

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5 4…

A:

Q: Given the functions f(x)=x²-x-2 and g(x) = æ+ 1, a. Determine the interval of integration needed to…

A:

Q: Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be…

A: Topic = Application of Derivative

Q: 1. a) Differentiate g(t) = 2(t²-3t)-3/4

A: we need to differentiate g(t)=2t2-3t-3/4

Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

A:

Q: A race track 488 m long is built around an area that is a rectangle with a semicircle at each end.…

A:

Q: Find the gradient and maximum value at the given. point: f(x₁y) = Sy² at (4,5) X

A: Given query is to find gradient and the maximum value at the given point.

Q: Fory=5x² + 15x² - 10x, determine concavity and the x-values where points of inflection occur. Do not…

A: The solution is given below:

Q: he system of linear equations 2x + y + y + 2y + he following are equivalent to this system? 2x -I I…

A: Given query is to find equivalent system.

Q: What is the length of the arc of the parabola y = x² from the points (0,0) to (2,4) ? ° 2 √²³√1+4x²…

A: We have given equation of the parabola  y=x2 y'=dydx y'=ddxx2 y'=2x Arc length of the parabola is…

Q: Consider the following matrix and vector: 1 0 A= -2 1-4 and x=₂ 0-3 6 Given that Ax-0 and x-1, find…

A:

Q: 35. (10-6y+e-3) dx-2dy-0

A:

Q: ! A N AR 2 W S 199 Let à =(-4,-5, 3) and 6 = (-5, 2, 4). Find the projection of b onto a. proj 6=<…

A:

Q: xp =

A:

Q: Consider the error formulas. IEI ≤ (b-a)3 122 (b-a)5 1800 El s [max F"(x)], a ≤ x ≤ b Trapezoidal…

A: We have to find the error.

Q: Use the sum of the first ten terms to approximate the sum of the series Estimate the error by taking…

A:

Q: Determine the following limits, using ∞ or -∞o when appropriate, or state that they do no 4…

A: Part (a)limx→3+4(x-3)5= limh→04((3+h)-3)5= limh→04(h)5= ∞

Q: on step 2) going from the first to the second arrow: where does the t come from on the right-hand…

A: GIVEN

Q: Find the derivative of each of the following functions. You're graded on your process as well as…

A:

Q: 4. Find dy/dx by implicit differentiation.. 3x² - xy + 3y² = x

A:

Q: Given that lim f(x) = 9 X→ 1 (b) find the limits, if they exist. (If an answer does not exist, enter…

A:

Q: Normal to flat curves a) Prove that n(t) =-g'(t)i + f' (t)i y -n(t) = g'(t)i - f'(t)j They are…

A: Given:  n(t)=-g'(t)i+f'(t)j and -n(t)=g'(t)i-f'(t)j The curve r(t) = f(t)i+g(t)j.

Q: Find the absolute maxima and minima of the function on the given domain. 13) f(x, y) = x2 - 2x - 2y2…

A: Given function is  f(x,y)=x2-2x-2y2+2y And closed triangular region is bounded by the lines x=0,y=3…

Q: Question 11 Give the form of a particular solution of a) Oz-Are +Be+Cx com(3x) +Dxsm(3x)+8 b)…

A: Note : according to our guidline i can solve only first

Q: Suppose the position of a particle in motion at time   is given by the vector parametric equation…

A:

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A:

Q: 1) a) Consider the region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw the…

A:

Q: . Find the absolute min and absolute max of h(s) = 2s³ + 3s² – 12s for −3 < s < 2.

A:

Q: dy = ex-y dx

A:

Q: 2-0 3. Let f(x) = 2x³+4x-4. Use the intermediate-value theorem to estimate the location of the zero…

A: Given: f(x) = 2x3 + 4x - 4  Interval: [ 0 , 1 ]

Q: Find a plane through the points (7,-2,6), (-5,6,-2), (6,-2,1) Calculator Check Answer

A:

Q: Given the function f(x) = 2x² − 3x + 1. f(x+h)-f(x) Find the difference quotient, h a) Find f'(x) by…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A:

Q: 2) b) Consider the same region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw a…

A:

Q: Calculate the indicated limit. If the limit does not exist for any reason type DNE. lim x²-3x+√√√ -2

A: Given equation limx→4( x2 - 3x + x  )

Q: A crew working with dynamite to clear a road blasted a large rock straight up into the air with an…

A: Velocity is given by ÷ vt=ddtst vt=ddt-16t2+170t vt=-32t+170..........answer a)

Q: Find the inverse function (on the given interval, if specified) and graph both f and f¹ on the same…

A: