Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo OYes O No Function? No Graph 4 Graph 5 Graph 6 y 4- 4- 4- 2- -2 -2 4. -24 OYes ONO OYes ONo OYes ONo Function?

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A:

Q: complete

A:

Q: #

A:

Q: Consider the following. u = 8i + 7j v = -7i +j+ 2k Find u x v. Determine if u x v is orthogonal to…

A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

Q: Evaluate arctan(sec t). 4

A: Evaluate arctan(sec ).

Q: The function defined by x2 if r 0 is continuous at a = 0. Determine the left- and right-hand…

A: We have to check our function is differentiable at x=0 or not

Q: Tristan will deposit $196 into an account every two weeks (26 times per year). The account earns an…

A: Given that Tristan will deposit $196 into an account every two weeks (26 times per year). The…

Q: -2x with derivatives f"(x) = 10(1 – 2x)e¬2* 40(x – 1)e¯2*, Determine all the following for the…

A:

Q: 1+3" 5. E 00 By the series test: n=1 2.

A: By Ratio test the given series diverges. Now, what the Ratio test is Suppose we have the series ∑an.…

Q: (- 1)" Σ n =1 n 3+5 8.

A:

Q: 1.lf f(x) and g(x) are continuous functions, then SIF(x) ·g(x)] dæ S f(x) dæ · ƒ g(x) dæ. 2.lf G(x)…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

A:

Q: man holds a rope that leads a horse. The horse walks in a circular path as shown by the dashed line,…

A:

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

A:

Q: Find the solutions of the system of inequalities by graphing: x + y 1

A:

Q: Find the limit. lim (t i – 6 j + r² k) lim (1 i- 6 j+? k) = i i+ i j+

A:

Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0 < x < 6, about the…

A:

Q: Find the arc length of the graph of r(t) = ev2ti + e¯v2tj+ 2tk, 0<t< v2 In 6 NOTE: Enter the exact…

A:

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A:

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A:

Q: Simplify cos[arctan( -). -12/13 5/13 12/13

A:

Q: Find a polar equation for the curve represented by xy = 4.

A:

Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: Let f be a continuous function. Show that 2022 f(x) dx. 2022 dx

A:

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A: Given

Q: 4. A certain style of church window has the shape of a semicircle atop a rectangle so that the…

A:

Q: Evaluate c (xy+y+z) ds along the curve r(t) = 2ti + tj + (2- 2t)k, 0Sts1. (xy+y+z) ds=| (Simplify…

A:

Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

A:

Q: g. There is a removable discontinuity at = 1 and f(1) = 4 h. There is a jump discontinuity at z = 2…

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (3,9,-5) Vw(3, 9, –5) =

A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf So, ∇w=∂ ∂…

Q: Using algebra and calculus to analyze the function, Algebra: how can I find all the intercepts, as…

A:

Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

A: From the given graph the limits of x are from 0 to1.The area of the shaded region is given…

Q: (y + 1)dx + (4x - y)dy 0

A: Explanation of the answer is as follows

Q: 1. There is no function f(x) such thatS f(x) = f(x) + C. _2. If f(x) and g(x) are continuous…

A:

Q: The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is the output power…

A: Given problem:- The hourly cost function (in dollars) of 3 generators, each as follows: where x₁ is…

Q: Let f be a continuous function. Show that 2022 f(1/a) dx f(x) dz. %3D 1/2022

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A:

Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

A:

Q: A cable 20 ft long that weighs 2 Ib/ft is hanging vertically on top of a 30 ft electric pole. Find…

A:

Q: Item # 5. 15 pts The following figure shows the graphs of y = f(x) and y = g(x), together with the…

A: A=2.5∫-3-1 f(x) dx = 2.5B=3.3∫-11f(x)dx=-3.3C=2∫13f(x)dx=2D=3∫-3-1g(x) dx =-3E=4.3∫-11g(x)dx…

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: y" + 6y' + 13y – 0 9y" + 9y' + 4y –0

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1.…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: d Calculate ri(t)· r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: r1(t) =9t i + 2t2 j + 6t3 kdr1dt=9 i + 4t j + 18t2 kr2(t)=t4 kdr2dt=4t3 k