7. Sketch the graph of a continuous function with domain [-2,8] that has (a) absolute maximum 2, attained at x = -1, x = 3, x = 5 and x = 8, (b) absolute minimum -1, attained at x = -2, x=0, x= 4, and x = 7 (c) no other maxima or minima, A

Q: an = sin Nπ 2

A: Let's find given sequence is converges or diverges.

Q: Volume: The Shell Method 8 (a) 2π7 (2-3)(√5 - 1) dy C Which of the following integrals represents…

A:

Q: Determine the type of DE (select all that applies): (2y³ – x³) dx + 3xy²dy=0 Exact Separable None of…

A: Given the differential equation is 2y3-x3 dx + 3xy2 dy = 0

Q: Given the function graphed below, evaluate the definite integrals. 4 3 2 1 -1 -2 -3 ["ª f(x) dx = T…

A:

Q: Differentiate f(x) = seca 1+tan For what values of x does the graph of f have a horizontal tangent?

A:

Q: Determine the type of DE (select all that applies): (3x²-2xy + 3y2) dx = 4xydy None of these Linear…

A:

Q: Use spherical coordinates to evaluate the triple integral ille x² + y² + z² dV, where E is the ball:…

A:

Q: State the point of inflection for the function: f(x) = x³15x² - 288x + 144

A:

Q: n an=1+ (0.9)"

A:

Q: 7 Find the derivative of f (w) = w8 + 10w. Enclose numerators and denominators in parentheses. For…

A:

Q: Solve the integration of ∫ -2x cot^3 (x^2+1) dx

A:

Q: Use the integral test to determine whether the series is convergent or divergent. n² Σ; Evaluate the…

A: Here we have to evaluate integral and then find out whether the series is divergent or convergent

Q: Given that 1 X = n=0 find the power series for x" with convergence in (−1, 1), 7.5 1 + 9x5 with…

A: Concept: When a series becomes closer to a particular value as it gets closer to infinity, it is…

Q: In(x) Example 10: Find the absolute extrema, if any, of the function f(x) = X on the interval (0,…

A: Extreme point

Q: Equations Linear in Two Variables 1. (2x + 3y - 5)dx + (3x - y - 2)dy = 0

A:

Q: 2. Evaluate the following indefinite integrals: (a) f(3ex-2 cos x + 5 sin x) dx (b) (2x + 1) (3x −…

A:

Q: are currently being made per week but production levels are increasing at a rate of 30 tires/week,…

A: Given query is to find rate of change of cost.

Q: Determine whether S is a basis for R #- ((4, 2, 3), (0, 2, 3), (0, 0, 3)) O is a basis for g Os is…

A:

Q: Evaluate the iterated integrals to compute the double integral over the rectangle R:0≤x≤π,  0≤y≤1…

A:

Q: 9 A and B are independent events such that P(A) = 0.9 and P(B) = 0.3. Find: a P(AB) b P(AB) b P(AB)…

A: A and Bare two independent event such that P(A)=0.9,P(B)=0.3 We have to find, c)P(A∪B')

Q: a+4b-2c=0 -2a-6b+5c=5 3a+14b-4c=8 use inverse matrix to solve and find a^-1

A: a+4b-2c=0 -2a-6b+5c=5 3a+14b-4c=8 use inverse matrix to solve and find a^-1 We shall solve this…

Q: derivative Example 6: Find the absolute extrema ● f(x) = √4x²; [-1, 2]

A: The objective of the question is determine the absolute extremal.

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of f(x)=√16 - x²…

A: Given Curves:- fx=1216-x2    and  gx=12x

Q: = Use implicit differentiation to show that if y² + x² 6xy, then d'y dx² = 6xy (y - 3x)²

A:

Q: Find an equation for the curve that passes through the point (1,0) and whose slope at (x, y) is re".

A:

Q: In Exercises 5-8, use the definition f'(a) = lim x→a f(x) = f(a) to find the derivative of the given…

A:

Q: Example 4: A right triangle whose hypotenuse is √48 inches long is revolved about one of its legs to…

A: We can answer only the first question as per the rules.

Q: Given f (9) = 2. f (9) - 9. g (9) -1, and g (9) - 7, find the values of the following. (a) (b) (fg)'…

A:

Q: 5. Prove that if f(z): then f is an entire function. COS Z z² - (π/2)² J when zл/2, when z = : ±л/2,

A: Taylor series expanding of  cos(z) about z=π/2 cos(z) =-z-π2+16z-π23+......similarly Taylor…

Q: Let f(x) = 9xe-² Find all critical numbers and inflection points of f (x). Enter the largest x value…

A:

Q: Suppose the solid W in the figure consists of the points below the xy-plane that are between…

A: Suppose the solid W in the figure consists of the points below the xy-plane that are between…

Q: 1 Parametric curves Consider the parametric function r(t) = sin(t) y(t) = 2-sin(t) (1) Show that…

A: The given parametric equations are as follows: xt=sint and  yt=2-sint Note that all values of sint…

Q: =0 π n=0 -2η π

A: As we know that sum of geometric series a+ar+ar2+···· for first term a and common ration r is a1-r

Q: Let D be the region bounded by the y-axis and x Provide your answer below: D={(1,0)| ≤r<,<<} [ 9-y2.…

A: Given:- D be the region bounded by the y axis and x=-9-y2

Q: 6. cos 20-sin 0 = 0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A publishing house estimates that if x thousand complimentary copies are distributed to professors,…

A: A publishing house estimates that if x thousand complimentary copies are distributed to professors,…

Q: Find the area between the curves: y = x³15x² + 50x and y = x³ + 15x² - 50x

A:

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A:

Q: Evaluate f (x - y)(y – z) dV for the box B with dimension: [3, 6] × [0, 5] × [0, 5]. (Use symbolic…

A: Given: The dimension of the box:B=3, 6×0, 5×0, 5

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

A:

Q: Find all critical points of the following function. f(x,y) = - 4xy-x²-y4 What are the critical…

A:

Q: 2) Find parametric equations for the upper semi circle with center (4,3) and radius 5. Sketch such…

A: Given: centre of circle = (4,3) radius = 5 To find the parametric equation for the upper semicircle.

Q: Use an appropriate test to determine whether the series converges absolutely, converges…

A:

Q: Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x 2, f'(x) 0 if…

A: Note the remarks according to given features of the function. fx&gt;0 for all x, i.e., the function…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Given:       Rx=0.006x3+0.02x2+0.4x where x is the number of lawn chairs. a) Current daily​ revenue…

Q: becomes vacant with each $10 increase in rent and that each occupied unit costs $80/month in…

A: We will find the required.

Q: Find the equation of the tangent plane to the ellipsoid with the given equation (see image) at the…

A:

Q: Find dy/dx using implicit differentiation.  sqare root of x+y = 9+x^2y^2 dy/dx=

A: Let's find dy/dx by using implicit differentiation.

Q: $ 29moosd 3 nedì,0 A(r) = √√√r. er²+1 W DCO OW

A:

Q: If g(x)=x²-4, find g (1) and use it to find an equation of the tangent line to the curve y = x² - 4…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=1 which means point…