g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(u) du where g(x) = u, to evaluate the following integral. a g(a) tan x secx dx ... tan x sec x sec?x dx =

Q: 3) f(x) — -3x* -18х +10, (a) Find f '(x) (Useformula) (b)Find the slope of the tangent line at x =

A: We can find both the answer as below.

Q: If f(x) is a linear function, f( – 3) - 4, and f(4) = 3, find an equation for f(x) f(x) = Question H...

A:

Q: Find the general solution. dy_ y _ x+y dx X-1 O a. y= cx?- x+1 O b. y= cx?- x(c+ 1) O c. y= cx?- x-1...

A:

Q: 2 x2 1. J1 (x3+1)²

A: Solving question number 1

Q: 3. XSつち =6 -E 2. 3 2. こ -ソ= 4cs2x

A:

Q: 2. An object is launched upwards moving on a straicht line Its height in metres, i5 given by the equ...

A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

Q: Find the slope of the function's graph at the given point. Then find an equation for the line tangen...

A:

Q: Alamina occupies the region inside the circle x 2  + y 2 = 4y but outside the circle x 2 + y 2 = 4. ...

A:

Q: - (2D³ – D² + 1) (In cos x – 2 tan x)

A:

Q: eX(1+ sin e^) dx 2. sin? ex

A: We can solve question no 2 as below.

Q: 1 dx

A:

Q: By direct differentiation, find f(x] where f(x)= lalact!)

A:

Q: Let U = { 2, 5, 7, 12, 13, 16 } and A = { 2, 5, 12, 16 }. If B = { 5, 16 }, determine the relationsh...

A:

Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

A:

Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-

Q: 9.lf y = sin (4x – 5), then what is y'? O A. y' = - cos (4x – 5) O B. y' = - cos (4x) O c. y' = cos ...

A:

Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

A:

Q: 3. у%3D V(3х + 5)5

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.)  lim x→−2  x3 + 8 x2 + ...

A: Given limx→−2x3+8x2+7x+10

Q: Find the Taylor series of f(x) 1 1 centered at c = 7. Choose the Taylor series. 1 %3D 1 . 6" n=0 00 ...

A:

Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -2, and g'(5) = 7. Find the following values. %3D (a) (fg)...

A:

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right. U...

A:

Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7  ...

A:

Q: xdy- ydx = 2x(x2+ y²)dx

A:

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A:

Q: Find the solution of the equation 4xsinx +2 cos 2x a2 2 using the Newton-Raphson method with an erro...

A: Given:

Q: Find the derivative of the function. y = x*V25 - x²

A:

Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

A:

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b) ...

A:

Q: The cost of producing xgallons of Slurm is given by the function ?(?) = 2? + 48. A gallon of Slurm s...

A:

Q: Ace Taxi Company charges riders $5.50 up front and $0.85 per mile for trips. Which explicit equation...

A:

Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right. U...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) COS3 sin? dt Need Help? Read It Watc...

A:

Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

A: Graph

Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

A:

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos( -2 <y <0...

A: Topic = Volume

Q: Use the difference an+1 – an to show that the sequence {n – 7"}n=1 | is strictly increasing or stric...

A:

Q: Find the general solution. x²y²(xdy+ydx)= 8y³dy a. O a. x°y³+6y4=c а. O b. *+c x²y² = 6y Ob. Ос. x³y...

A: x2y2ydx+xdy=8y3dy

Q: Verify that the conclusion of Clairaut's Theorem holds for the function: f (x, y) = e*y sin(y)

A:

Q: Find the unit tangent vector for the motion of r(t) = .

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x, x = 1, and y 0, abou...

A:

Q: What is the amplitude and period of the function f(x) = cos(6x)? Provide your answer below:

A: for f(x) = Acos(bx)amplitude is given by Amplitude: Aperiod is given by   p = 2πa  

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: -8

A:

Q: Déterminer une valeur approchée de l'aire de la surface bleue ci-dessous composée d'un triangle rect...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: x³ +2x .3 dx x2+1

A:

Q: x +1 dx (25 – x²) } X

A: