Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying th...

Q: 5. S Vx³ In(Vx) dx

A:

Q: 2. | 1

A:

Q: ITxy* dy dx x2

A:

Q: /2х-у -2 lim (*) -2.0) 2х- у-4 3.) Evaluate 2x-y#4

A:

Q: Evaluate using Wallis' Formula: 7 sin? x cos5 x dx

A: follow next step

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below 

Q: Evaluate: S,(3y6 + 8y* – 9y²)dy 4 -

A:

Q: Find the derivative. y = arctan(4 tanh(x)) y' = Need Help? Read It

A: differentiate y with respect to x. to get the results.

Q: (x + y? + 1) dx + x(x– 2y) dy = 0

A:

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

A:

Q: Lof the function a(t) - (2n2+2

A: We have to find the antiderivative of the given function

Q: Evaluate f x Vx + 10 dx

A: Given integral ∫xx+103 dx 

Q: x dx e

A: This question is based on integration by parts.

Q: Find the indicated derivative for each of the following functions and evaluate as indicated: A. f(x)...

A: Take the derivative using power rule of derivative then substitute the value of x and simplify. 

Q: 4. ху" + у' — хInx 3D 0

A:

Q: A local Chocolate Factory produces 3 varieties of Chocolate A, B & C. Ron bought a chocolate of each...

A:

Q: solve using Integration by Parts Trigonometric Integrals Trigonometric

A:

Q: 1. cos? 2t dt

A: Given query is to eveluate the integral.

Q: |(3nt?t? – t*) (3n² – t') dx - --

A:

Q: y = x2, y + 2x =8. ntify the volume generated by revolving amd y = 0, rotated about the y-axis.

A:

Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7 2x...

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y dy-dy=2y-1dydydx=122y-1=14y-2option(B...

Q: 6.) Find the directional derivative of g(x,y)=Vx² +y² at the point P(3,4) in the direction of v (3,-...

A:

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: Tutorial Exercise The radius of a right circular cone increasing at a rate of 1.9 in/s while its hei...

A: Let's find.

Q: Find the derivative. f(x) = tanh(x) f'(x) = Need Help? Read It

A:

Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A:

Q: Find the particular antiderivative that satisfies the following conditions: dy 4а 2 + 6а — 2; у(1) —...

A: We will separate the variable and the integrate as follows

Q: Find the arc length function for the curve y = sin+(x) V1-x² with starting point (0, 1).

A: As we know that; The expression for the length of arc of the curve is: L=∫ab1+dydx2dx The Power rule...

Q: S(cost x- sin x)dx

A:

Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: Length of the Arc Instruction: Answer the following. Show all your solutions. 5. a. Give the formula...

A:

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A:

Q: A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches pe...

A:

Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

A:

Q: dy If y = sin='(cos x) then dx ||

A:

Q: dx -2 3 (5-4x- х?)2

A: Let's find. 

Q: pload answer sheets Find the Laplace transformation of H(t-4)e“-4)

A: Solution is given below:

Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.) cosh(-x) = + e-(-...

A:

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + k as adjacent sides. NOTE: E...

A:

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

Q: A group of students is painting the flag of Brunei for a geography project. Joseph is responsible fo...

A: As per bartleby guidelines we only give first question answers. 

Q: T/2 S sin? x cos5 x dx

A: Topic = Integration

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: This question is based on vectors.

Q: Problem 2 Graph r = 1 + sin eby hand on polar graph paper. Make sure to show all work. %3D

A: Given:           r=1+sinθ Using the formula            r=a±bsinθ where a&gt;0,b&gt;0 and a=b

Q: Choose the statement that best describes this graph. Time O a) The stock price has decreased steadil...

A: . d) The stock price has fluctuated over the last week.

Q: x dx

A:

Q: y x, y+ 2x = 8. Identify the volume generated by revolving amd y = 0, rotated about the y-axis.

A:

Q: Consider the series ke-h? k=1 a) Enter an integral whose convergence or divergence is equivalent to ...

A: