Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 28 – 7y2, x = 7y2 - 28 y 1 - 20 - 10 10 -20 - 10 10 20 y y 20 20 10 10 -1 1 -10 - 10 - 20 - 20 Find the area of the region. 20

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

A:

Q: x2 – 1 dx 9х3 — х

A:

Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i+ 5j. NOTE: Enter the exact answer...

A:

Q: Determine all critical points for the function. f(x) = 20x3- 3x5

A: Topic:- calculus

Q: 4.) Find the derivative of the following functions a.) y = sin(x) + cos(x) b.) y = csc(x)cot(x) c.) ...

A:

Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: 20 -1 3. sin

A:

Q: Find an equation in the form y = ax² + bx + c_whose graph has an x-intercept at x = -1 and a tangent...

A:

Q: In|1+49| + C = of the given choices In|l+49 + C

A:

Q: sin2x de Evaluate:

A:

Q: Find the most general antiderivative. A B D

A: Let's find. 

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: If f(x) = 6 cot-lx+ 8, then find the value of f'(-2) is %3D 6.

A:

Q: The derivative of f(x) = %3D 3. 5' attains its maximum value at r =

A:

Q: 4 Vva – 1dx 2

A:

Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

A:

Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates

Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

A:

Q: ng in such a way that its radius is decreasing at a rate of 0.3 cm/min. At wi wball decreasing when ...

A:

Q: 1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

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

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

A:

Q: 3000 people are infected when the pandemic is first discovered. 16000 people are infected 7 days lat...

A:

Q: For ques. 9, use Wallis' formula po. Question 9 Evaluate: " sin" cos* (*) CoS

A:

Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D...

A:

Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: Determine the volume of the solid by rotating the region bound from y=sin(pi*x/2) & y = x2 from x = ...

A:

Q: Consider the function. x+ 7 x) - (a) Find the imverse function of r. X-1 (b) Use a graphing ublity t...

A:

Q: x2sin2x dx Evaluate: - 2x?cos2x – 2xsin2x + cos2x +C A 4 -2r?cos2x + 2xsin2x – cos2x C None of the g...

A: We can solve as follows

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

A:

Q: ,3.518) (542 n2

A:

Q: Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth...

A:

Q: 5- State the period, amplitude, horizontal translation (phase shift), and equation of the axis for e...

A: Given: (1)   cos2x-π2-3 (2)  -cos12x-π6+1

Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

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

Q: The management of Porter Airlines finds that its monthly marginal revenue can be pproximated by R'(x...

A: Given query is to find the revenue function.

Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

Q: -1 2. cos

A: 2.cos-1-12

Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x + ...

A:

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh )(tanh a+/Ð) + 2 csc-' (tan(y + 1))

A:

Q: Evaluate using techniques of integration or integration by parts

A:

Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: Determine all critical points for the function. y = 4x² - 128 x

A:

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

A:

Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A:

Q: - 1] Q2 a. Find the eigenvectors of the matrix b. Solve the ordinary differential equation: dy Y-e d...

A:

Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have ...

A: topic - exponential function

Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

A: