FInd the Indefinite Integral and check the result by differentlation. 6x dx 8 - X Step 1 is the derivative of ( a – x], Let g(x) = (8°- x²}. Observe that Is the derlvative of 8-x %3D Multiply and divide the Integrand by and rewrite the Integral. 3 6x dx = 8 -

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: 18

A: We will solve the problem using method of substitution.

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: If the partial fraction decomposition of 2s2 -s+4 s(s²+4) Bs+C g2+4 then, the value of A is

A:

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

A:

Q: L-1{_ (s²+4s+20. L-1

A: inverse laplace transform of the given 8s2+4s+20

Q: Given the curve x = 2 y – y´ and the line x = 0 Find the ordinate of the centroid y of the region…

A:

Q: 4x2 Let S be the surface with equation y = + 22. 9 (a) Write the equation of the traces of S on the…

A: Here S is the surface with equation y=4x29+z2. a) For y=4 , trace of given surface will be given…

Q: Sx5 V16x6 – 24.x3 + 9 dx

A:

Q: Suppose we know that f(x)dx = 2 and g(x))dx. S g(x)dx = 7, find the exact value of S°F (x) %3D

A:

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: Graph the polar equation and find the area of the region. Interior of r2 16 sin 20

A:

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: (f) lim (g) lim r esc(2r)

A:

Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

A:

Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

A:

Q: Solve the problem below. Evaluate the determinant: 1 2 3 -2 -1 -2 3 4

A:

Q: Evaluate the following double integral and enter the value into Ans: || 7xye"vdA, R = [0,1] × [0, 3]…

A:

Q: (n+n)" Let E, an = E %3D in=1 (n²+5)2n a} . Calculate Van. B] Deduce whether the series n3D1 an is…

A:

Q: Let A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} and U be the universal set of natural numbers less…

A: A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} U={1,2,3,4,5,6,7,8,9,10,11} Now, A'=U-A…

Q: Evaluate each definite integral. S f(x) dx y f(x)

A: Topic:- application of integration

Q: A person stands at a window on the 9" floor of an office building. He measures the angle of…

A:

Q: Find the area of the region bounded by the equations y X" and y 6x- x Note: theses are conics. A) 9…

A:

Q: 2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 2n, (ii) r = 2(1+ sin 0), 0<0< 27.…

A: We need to find length of curve.

Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.   ​f(x,y)=5x2y2+2x7+3y

A: Partial derivative

Q: y = 1/x 2 2.

A:

Q: 4 2 0 2 6 8 -4 -2 4 lim Given the graph of the function f above find f(x) X-2 A) 3 B) -i C) 2 D) 4…

A: We will find the correct answer.

Q: separable 2

A:

Q: Find the vollumes oF the solid that results when the r egion enclosed by the curves y= x, x = y is…

A:

Q: In the year 1985, a house was valued at $104,000. By the year 2005, the value had appreciated to…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 400 in'. The base of the box is…

A:

Q: 13-28 Sketch the region enclosed by the given curves and find its area. 13. y 12 x, y=x² – 6 14. y =…

A:

Q: For the function: f(x) = 2sin (G) on the interval [0,4Tt], find: Relative max = (t,[ ? ]) Relative…

A: This is a problem related to maximum and minimum of the function. Based on the general formula and…

Q: Find the area between the curves y=|x- 4 and y=-+4 . y=\x=4| 2 O 120 sq. units O 48 sq. units. 64…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. h(x) = - log (3x – 4) + 6…

A:

Q: Question #5 C11: "Related Rates." A man starts walking south at 5 ft/s from a point P. Thirty minute…

A: Man moves at 5ft /sec along S direction. Woman moves 4ft/sec along N direction.

Q: Question No.5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical…

A:

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and = = cos T î + sin 7 ĵ. Use the Theorem above to find the…

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: You will calculate L5 and Ug for the linear function y =16 – 5 z between z = 0 and z - 2. Enter Az…

A:

Q: Determine the area of the region bounded by the curves y = 3x - x and y= 2x² - x² -5x with (x20) A 8…

A: We have to find the area between the curves.

Q: EXERCISE 3 1. Consider f(x, y) = 2x² – y² +3x – y and U is any unit vector in R?. Find the maximum…

A:

Q: Consider the point S: (3, 1, 2) and the line L: x = 2 + t, y = 3+ 2t, and z = 2t. (a) Find the…

A:

Q: Given the curve y = x' and the line y = 4x in quadrant 1 M Find the moment of R with respect to the…

A:

Q: d?y 7. y = e2" – 3e-, dx? dy - 2y = 0 dx

A:

Q: Q1) Solve the following partial differential

A: Given

Q: sec (3x). tan (3x) da 1 sec (3x) + CO 3 sec (3x) + CO 1 tan (3x) + CO tan (3x) + CO

A: We can answer the question as below as below.

Q: Describe the end behavior of the graph of the function f (x)=-5(4)" – 8 For o0, type in the word…

A:

Q: メ+2LX X 2 X 3

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…