A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ. If the rock used to build the pyramid weighs approximately ?=100lb/ft3, how much work did it take to lift all the rock?

Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: xl² -1), 2 x +1

A: To evaluate:∫xx2-1x2+1dx

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Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x...

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: valuate the integral below along the path C. (Give your answer correct to 2 decimal places.) | (2r –...

A: The detailed solution is given below Thank you  The final answer is -101.48

Q: Sketch the direction field of the D.E. y = y - t and the solution curves corresponding to y(0) =-1, ...

A: Solution of question is written in below steps.

Q: q7

A: We will solve the Differential equation. 

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A: Given that sin-1xy+cos-1xy=0find dydx

Q: To improve her handwriting, Hope practices writing the numbers from 1 to 200. How many times will sh...

A: We have considered numbers 1 to 200 in two class. The first class is from 1 to 100 and the second cl...

Q: Find the 10th term of the arithmetic sequence -2,1, 4, ... Answer:

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Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: 5) sin-1-1

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Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: 1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute la the...

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Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: COS Cos 3x dx CoS

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

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Q: Mr. Ed Panem (GCOE) is tasked to schedule the final examinations for SUBJECT A, SUBJECT B, SUBJECT C...

A: Given: Total subjects=8Subjects name=A, B, C, D, E, F,G, HStudents are not taking both=AH, BH, DE, D...

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression. 

Q: iv. an n!

A: The detailed solution is given below Thank you 

Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

Q: f(t)=16t^2-64t, then f’(t)=

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Q: Find the open intervals on which the function f (x) = x + 6/4 - x is increasing or decreasing. If th...

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Q: If f(x)dx=6, | f(x)dx=2, and] f(x)dx= - 3, find / f(x)dx. B 3.

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

Q: What is the antiderivative of -dx? A 6x2 1/3 + C ® x/3 (2x% +9) + c %% + 6r/2 + c /2+c

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Q: 2. x + ( 1+x)y = e * sin2x dx

A: Tp solve the following differential equation

Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

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Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

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Q: By setting one variable constant, find a plane that intersects the graph of z=9x^2−3y^2+1 in a: Par...

A: Given that -  z=9x^2−3y^2+1 

Q: - (2* – 10) " da = +C

A:

Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: Given: p= 15-0.005x C(x) = 2000 + 3x  

Q: 7. (1+x*)dy + x(1+ 4y®)dx =0

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Q: 8. fx,y) = sinx cos y

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Q: Use sigma notation to write the sum of the given equation

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Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

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Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...

Q: 5e3* dx J 6. 9-12e3 +4e6x

A: integration

Q: Scin'se dx

A: In this question we have to find the Integration.

Q: 2. Nhat is the value of n for the row of Pascal's Triangle that is: 4 1 6 4 1? correct value of n) W...

A: Follow the procedure given below. 

Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

A:

Q: The power series representation for cosh x is cosh x = x2n Use this to find a power (2n)!" Ln=0 seri...

A: Explained below 

Q: 8.Detormire the maximom num bec of Furning poinds Of .

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

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Q: 2x -1 Evaluate the given function S dx 2X+3 a.+In[3 + e2*] +C b.- In[3 + e2*] + C 3 3 --+In[3 + e2*]...

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Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of Sin3(...

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

Q: dx ? What is the antiderivative of the integrand 2e* A) -2 e + C B *+ C - 2e * + C + C 2 D

A: The given integrand 12exdx

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A: