Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 7x2,y = x2 + 3

Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

A:

Q: having

A: We will find the half life. 

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: To find out the first five terms of the sequence and also find out its limit if it is converging or ...

Q: 8. 1 (b) 2 11k + 1 The series converges. eTextbo diverges. may or may not converge; it cannot be det...

A: A)∑k=1∞ 111k = 111+1112+1113+1114+.........+∞is the GEOMETRIC series with r = 111 < 1As per the p...

Q: Assessment1: The function is discontinuous at the number. Does the discontinuity appear to be remova...

A: The given function,   f(x)=x+33-x

Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Here we have to find the true or false statements

Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the p...

A: Let the exponential law of growth: As given: t=13.28 hours hence at night around 1:28 a.m., the de...

Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

A:

Q: V APPLICATIONS 1. Sclve for the orthogonal trayectories (a+x )y² = x*( 3a-x)

A:

Q: correct. Canvas uses right minus wrong scheme in checking multiple answers ty Question 2 Classify th...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A:

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is related to sequence and series, we will solve it using ratio test. 

Q: Find the Taylor's series for the function x4+x-2 centered at a=1

A: We use the Taylor series of f(x)=summation of fk(a)(x-a)k/factorial k from k=0 to k= infinity. where...

Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere attache...

A: Question 5 A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisph...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

A: Given query is to find the period of the graph.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A:

Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

A:

Q: SOLVE THE DIFFERENTIAL EQUATIONS

A:

Q: Solve the differential equations by any appropriate method and indicate the method you have used/cho...

A:

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of t...

A:

Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly d...

A:

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

A:

Q: Graph the solution to the following inequality on the number line. -x-6x <5 Note that you can use th...

A: -x2-6x&lt;5Add x2+6x on both side,0&lt;x2+6x+5That is ,x2+6x+5&gt;0x2+5x+x+5&gt;0x(x+5)+1(x+5)&gt;0(...

Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0 ...

A: To find the first derivative of y using the given equation.

Q: 1+cscx 7. h(x)=- 1-csc x

A:

Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a s...

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Let's find. 

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: x sin(x² )dx 2.

A:

Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A:      

Q: 5. Which of the following are inverses of each other? (a)3, 7 w.r.t. mod 20 (b)2, 5 w.r.t. mod 9 (c)...

A: Explanation of the answer is as follows

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 a...

A:

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

A:

Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

A:

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

A:

Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: Consider the following sequence: {an} = {n – n² },=-1 Use an+1 - an to show that the given sequence ...

A:

Q: 1. The flow rate of a fluid is described by F in units of kg/(m²-s). It is flowing through a membran...

A:

Q: Which of the following differential equations is not homogeneous? A None of the given Choices B xdy ...

A: The differential equations are Formula Used: standard form of the homogeneous differential equation...

Q: Find all solutions to the following equation on the interval 0<B< 2n (in radians). 2 cos (B) + cos(8...

A:

Q: y'-5y= x'e* – xe* ito

A:

Q: y = 5t2 - 2t + 4 -'(t) =

A: Given query is to find the derivative of the expression.

Q: The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on the i...

A: topic - mean value theorem