What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ secx tan x+C OD O A O B C none of these

Q: 20 Evaluate the integral: da 2 +16 2. (A) Which trig substitution is correct for this integral? Ox =...

A: We will evaluate the given integral by using substitution method as shown below

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19, wh...

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4] Averag...

Q: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .   

Q: Find the radius of convergence for: 9h Add Work Submit Question

A: If there exists an N so that for all n≥N,   an≠0 and limn→∞|an+1an|=L:If L<1, then ∑an convergesI...

Q: y f 4 (a) f-1(2) 5 (b) f-1(5) 2 Enter an exact number. .........

A: Given graph of function, 2,5 To be found- f-1(2) f-1(5) f-1(6)  

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

A:

Q: Find the limit. Select the correct choice below and, if necessary, fill in the answer box within you...

A: Given that: limx→-9x3+729x+9

Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the nor...

A:

Q: Let t be a real number and let V3 be the point on the unit 1 2 circle that corresponds to t. (a) Fin...

A:

Q: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y ...

A: First find value of t using x  then put that value in y

Q: 3 The range of y = sin x is _______. -1 < x < 1 -1 < y < 1 y ≥ 0 y ≤ 0

A:

Q: What is the point of the intersection of the angle of the unit circle pi/2? (show full solution)

A: Given the query is to find the point of intersection of π/2 on unit circle.

Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

A:

Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: By considering, but not calculating, the slope of the tangent line, give the derivative of the follo...

A: We can find the derivative as below

Q: A. B. ET D G. 2.

A:

Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

A:

Q: Use the method of disks/washers to find the volume of the solid formed by revolving the region bound...

A: Volume

Q: Determine whether the given differential equation is separable. dy ye 3x +3y メ+4 2 dx Is the differe...

A:

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: Find the value x=a where the function is discontinuous. For the point of discontinuity, give (a) f(a...

A: Given the query is to find the point of discontinuity and find indicated limits.

Q: Evaluate the following triple integral: 3 x x 6z dzdydx

A:

Q: Differentiate implicitly e2zy = y³. Select one: О а. dy ye2ry 2y3 – xe?zy dx O b. dy 2ye2zy dx 3y2 О...

A:

Q: Let f(x) = e. It can be shown by direct computation that f() (x) S 76e on the interval [0, 1). Using...

A: According to question,Given function.fx = ex2

Q: The half-life of caffeine is 5.5 hours. You drink a double espresso, which contains 128 mg of caffei...

A:

Q: method; Inz VUna)²-y²

A:

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if n...

A: We have to find a2 . 

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: 3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If th...

A: NOTE: Refresh your page if you can't see any equations. . lines are parallel if 

Q: 1 dx g3 – 2 -1/2 du.

A:

Q: Using separation of variables, solve the differential equation, e^(-y)sec(x)-(dy/dx)cos(x)=0

A:

Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

A:

Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x ...

A:

Q: Use the method of cylindrical shells to find the volume of the solid formed by revolving the region ...

A:

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

A:

Q: The total costs for a company are given by C(x) = 5400 + 20x + x2 and the total revenues are given ...

A:

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find ...

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: Integrate: J 4xvx- 3dx

A:

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

A:

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

A:

Q: In two or more complete sentences describe how to determine if the function f (x) = cos(x) is even b...

A:

Q: Find the 14th term of the geometric sequence with a2 = -8/3 and as = 64/81 a14

A:

Q: 3ズる一と find dx dy 17 x° +

A: Answer: As per guidelines we can answer only 1 question so i had answer Q17 below :    

Q: 6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a l...

A: We have to write the vector in the linear combination of two vectors