What is the exact area bounded by the curve f (x) = = and the x-axis on the interval [1, 8]? Write the value in exact form. Do not write a decimal approximation. Write the exact number that completes this sentence. The area is square units.

Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

A:

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A:

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s. She is running in a…

A:

Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

A:

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

A:

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: 24 – 49 dy 2+ 49 с.

A:

Q: 1. Find the inverse of the matrix 6 12 3 3 A. 10 10 C. 30 30 3. 10 7. 3. 30 10 30 152/5 D.…

A: Solution is done in step 2

Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.

Q: Next ques Use the Integral Test to determine if the series shown below converges or diverges. Be…

A: Here, the given series is: ∑k=5∞9kln2k

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a…

A:

Q: The power series representation of 1 f (x) = 5x +4 is: O 5 25 125 x+... 256 4 16 64 25 125 x++...…

A:

Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

A:

Q: ind the values of a and b so that the function = x + ax + b has a local maximum at the (-16,- 12).

A: We will find the value of a and b.

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A:

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

A:

Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

Q: C hnd the firet order parho derivohve of 32 4 5 1. 2) %3D *y-16y²23+43x %3D h Cs, t) =° E*In ts3) +…

A: Solution is here

Q: Find the area of the region in question Area =

A:

Q: The polar coordinates of a point are given. Plot the point. (2. ) z/2 R/2 2 1 -1 2 1 R/2 2/2 -1 Find…

A:

Q: x2 Consider the function f(x) = - x2 -1" (a) Find the intercepts of the graph of f (if any). (b)…

A:

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x,…

A:

Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A:

Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

A:

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Q3: Find the value of n which F(x, y, z) = (x +y +z*)" to satisfy fxx +fyy+ fz= 0. 1

A:

Q: Find the derivative of the function at Pn in the direction of A. f(x.y.z) = xy + yz + zx, Po(2, - 2,…

A: The  derivative of f at the given point is given below.

Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) de а.

A: Given ∫(cscθ)(1+sin2θ+sinθcot2θ) dθTo evaluate the integral:

Q: Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below,…

A: Use the given substitution to find the new limits

Q: 9. Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of…

A: Oil spreads in circle on surface of ocean. Area of circle is A=πr2.…

Q: 1. Find the total differential dw. 2. w = re2u +e-V

A:

Q: Solve the system of equations (only real solutions) by the elimination method. Check your solutions.…

A:

Q: If on V = R² define the usual scalar multiplication « (x, y) = (« x,x y) , and addition (x1, Y1) +…

A: Concept: Vector space: Vector space is defined by the associative and commutative laws of vector…

Q: 5x(x+1) =15

A:

Q: ladder away

A:

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: A particle started to move from the origin along a curve with velocity given by the function Cos T…

A:

Q: az Find əx if yz – In z = x + y -

A:

Q: lim X- Sin X X3

A:

Q: 72 a, =6, a,. 1+an

A:

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given query is to find statement is true or false.

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: would appreciate the help. 2 questions in 1 photo.

A:

Q: Sketch the region of integration and evaluate the integral. 1 y || 15y5 e xy dx dy ... Sketch the…

A: To sketch the region of integration and then solve the given integral.

Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series