Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: /1. (D3 – 3D² – 3D + 1)y = 0

A:

Q: y = x + C,e* + C2e¬* y = x² + Ce2* + Cze3*

A:

Q: fin d valve of h the intervai (4.9)

A: We will solve for c. 

Q: Note: to enter 0, type the word theta. (B) Which integral do you obtain after substituting for x and...

A: The given integral is: I=∫13-9x2 dx

Q: d Az3+7z+8, 2. dz 3. (x)(3x² – 9) d

A:

Q: 1. Using the definition, find the derivative of f (x) = x² – 8x + 9 at the number x = a.

A:

Q: Using calculus, find the dimensions of a cardboard box without a lid that has a volume of 32, 000 cm...

A:

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: 4. Consider the curve y=- + 2)" 0<x<1 a) Find the length of this curve b) Find the volume of the sol...

A:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Given:

Q: Ex 3: Use the chain rule to express in terms of x and y dx c) y = ( and x =-1 att 2

A:

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

A:

Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A:

Q: Given: cos 0 e is in QI. What is the value of cos 260? 4 6. o 1 3 O 4 6. 6.

A: We have to find value of cos(2theta).  

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: Students want to clean classrooms. The amount of time (t) it will take to clean varies directly with...

A:

Q: Consider the vector field F(x, Y, z) = (2xy, x², 1). (a) By calculating the curl of F, show that F i...

A:

Q: S(x, y, z) = 2x'y²z²

A:

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

A:

Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

A:

Q: (x +Jy?+1) dx x-(y- dy = 0 り*+1

A:

Q: 5æ? about the y axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No ...

A:

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin (...

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

Q: A spring has a rest length of 13 inches and the spring constant is K = 1.5. spring Haw much work is ...

A: Given query is to find the workdone to stretch the spring form 17 inch to 21 inch.

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

A:

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

A:

Q: Write an explicit formula for the table. Term 1 2 3 4 (n) Value (an) 30 150 750 Explicit formula: an...

A: Given table:- Term (n)  1 2 3 4 Value (an)  6 30 150 720     To find:- Explicit formula ...

Q: Question 15 Find the derivative of f (x) = (5x + 1)(2x² + x /æ ). Upload your work in the next quest...

A:

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: Evaluate (sin t + 1)-1 dt A) sin t - sec t + C B tant + sec t +C (©) tant - csc t + C D tan t - sect...

A: Topic:- integration

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |7x...

A: find the limit of function, using graphical or numerical method. from the solution, we can say that ...

Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, an...

A:

Q: find the centroid of the solid formed by revolving about the x-axis the solid formed by the curve x=...

A:

Q: 1 (x² +2)% 3 4. Consider the curve y = 0<x<1 a) Find the length of this curve b) Find the volume of ...

A:

Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: Obtain the solution of the following differential equations. 1. y′ =x+1/y^4+1 when x = 0, y = 0 2. ...

A:

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant ra...

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: Follow the procedure given below. Here,option is wrong, correct ans i given below with solution.

Q: The base of the solid is a square, one of whose sides is the interval [0, 4] along the the x-axis. T...

A: Explained below 

Q: 2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the given ...

A: As per company guidelines we can solve first three parts. I hope that the given solution will help y...

Q: 1. Let f(x, y) = sin(x² – y). Compute fry.

A: Given that: f(x, y)=sin(x2-y)

Q: Derive the function Cos

A: Given that: cos(x2-y2)=x

Q: Let R be the region bounded by the curves y = (x- 2)' – 2, x = 0, and y = 25. Find the volume of the...

A:

Q: Let k be any integer. What expression generates all angles.coterminal with 135°? O 135° – 2Tk 135° 2...

A: We can find the conterminal angles as below

Q: Find the average value of f(x) = x² /57 + x³ on the interval [0,4]. favg = Report answers accurate t...

A: Find the average of the function  f(x)= x2√(x3+57) on interval [0,4]