4) Let P be the pyramid with height h and square base of length 6. Use integration to find the volume of P. Hint: Consider slices which are parallel to the base.

Q: ons whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)). Find each deriva...

A: We have to choose the correct answer from the given options according to the given information

Q: Evaluate

A: We will solve the integration. 

Q: x+4, for x - 1 (A) Select the correct choice below and, if necessary, fill in the answer box to comp...

A: This question can be solved by using the concept of existence of limit at a given point.

Q: Va – V22 lim x → 22 х — 22 - (Use

A:

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

A:

Q: dx/y-xdy/y^2=0 solve using exact equations (diff eq)

A:

Q: 22. An important and very useful exact differential to (2y? +2x² + y)dx – xdy = 0 a. InX %3D C. InY ...

A: We know, xdy-ydxx2=dyx dx1+x2=tan-1(x)  

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy – 2x – 2y...

A:

Q: x = 4sin?t Given: a) Identify all values of t that produce a horizontal tangent y = 2 cos t b) Ident...

A:

Q: Draw a direction field for the differential equation y': Based on the direction field, determine the...

A:

Q: 2. The graph of g(x) is given below. Find lim g(x) x→9. a.0    b. 9    c.1   d.2 3. What is lim h(...

A: 2. As you can see, the graph of g(x) is continous. Therefore,                limx→9g(x)=g(9)     -(1...

Q: sec Odo

A: ∫1tdt=lnt+C

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 5k k=...

A:

Q: Use the right triangle and the given information to solve the triangle. 0. a = 3, c=7; find b, a, an...

A: This question is related to triangles, we will solve it using given information. 

Q: (xdy-ydx)/y^2=x^3dx solve using exact equations (diff eq

A: Topic:-  differential equations

Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: I am attaching image so that you understand each and every step.

Q: (2xy-tany)dx+(x^2-xsec^2y)dy=0 solve using exact equations

A:

Q: 6. f(x)=D -x+1 x +2x+2 c. Essential discontinuities at x = -1; x = 3 a. Removable discontinuity at x...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 x1° dx =

A: The objective is to evaluate the integral. 

Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: O 2ax-X Sa — х dx Jse gamma or beta laws

A:

Q: csc (tan 2y-1)cy 5. cos* 2y

A: Given ∫csc2(tan2y-1) dycos22y To evaluate the integral using Trigonometric formula:

Q: Find a differential equation that corresponds to the given direction field. Consider differential eq...

A:

Q: Determine whether the series converges using the Ratio test. The series converges eTextbo diverges

A:

Q: of EXERCISES 4.4 In Exercises 1-18, use the Second Derivative Test (whenever anplicable) to find the...

A: F

Q: Please evaluate the following integral. Show all solutions

A: We have to find the given integral.

Q: differential equation

A: Please refer to the image below

Q: Find

A: We will solve find the anti derivative or integration. 

Q: Find the area of the region bounded by the graphs of the equation y = x and y= x².

A:

Q: Differentiate the following. Simplify your answer completely. Write your answer without negative exp...

A:

Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: Directions: Give the set implied by each of the following. For items 1 to 15, refer to the following...

A: Note: As per company guidelines we are supposed to solve only 3 subparts. So, kindly repost other qu...

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: For the following expression indentify the correct form for partial fraction decomposition. x3 + x2 ...

A:

Q: The total spent on research and development by the federal government in the United States du S(t) =...

A:

Q: QUESTION 19 Define a relation S from R to R by (x, y) ES, if and only if x² + 3y² = 25 %3D (a) List ...

A: A function is a relation which describe that there should be only one output for each input. Or we c...

Q: 6.convergence set of the following power series: so (-1)". xn En=1 Ln=1' п. зп+1

A: The given power series is; Sum of (-1)nxn/[n.3n+1] , n from 1 to infinity.

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: v

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your answer...

A:

Q: Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. %3D

A: Given: Two curves y=x2-6 and y-3=0

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

A:

Q: 2 сos(6x) — 6 2? — 2 os(6x) – 6 x² sin(5x) – x2 – 5x - | lim x → 0 - -

A: We have to calculate the given limit: limx→02cos6x-6x2-2sin5x-x2-5x

Q: Solve, in terms of Bessel function, the DE: x²y" + 7xy' + (36x6 + +)y = 27 y = 0 4

A:

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 – x10 dx =

A: ∫tn dt = tn+1n+1+C ∫cos(at) dt =1asin(at)+C

Q: Consider the following. 6 x −  1 y = 7 (a)  Find  y ′  by implicit differentiation. y ′ =        (b)...

A:

Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

A:

Q: Let f(x) = (7 – 2x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

A:

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use...

A: We have to show that x is the solution of the third-degree polynomial equation. The real roots are a...