The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the above the above y' = -2 sin(2x)ecos²(x) the above O none of them

Q: C. Based your answers on the figure at the right. 1. [- 5, - 3] 2. (- 2, 0] 4. 3. [- 3, - 1] 3. 4. [...

A: Find your answer below 

Q: Given f(x) = 2x and g(x) = 4x + 5, evaluate each expression. %3D (a) fg(0)) (0) r(o(글) (c) g(f(0)) (...

A: Given; fx=2x3 & gx=4x+5   (a). First, we have to find g0. So, g0=40+5=0+5=5  

Q: Solve simultaneous equation dx/dt=3x+5y , dy/dt=-x-y , x=5 , y=-3

A: We need to solve the given simultaneous equations, dxdt=3x+5ydydt=-x-y at x=5, y=-3

Q: zln x dx 2) S 3 cos3 x sinó x dx 3) 12.1 dt 13. 3t + 2

A: Explanation of the answer is as follows

Q: et cot (el - 9)dt

A:

Q: -1 to be continuous at s 1. -1 Define f(1) in a way that extends f(s) (1)=(Type an integer or a simp...

A:

Q: 2. * S 4 (;- e-²) cos (e-2 + Inz) dz 4 sin (e-z + In z) + C A C sin (e-Z + In z) + C B 4 sin (; - e-...

A:

Q: dy a a 1+ Vy + 1 5+ aln:

A: First I have used a substitution and make integral easy and then solved it.

Q: I need someone to check my 1,2,3 and then I need help with the bottom two questions.

A: (6) (i) Here your first two examples are right. For the third example do it as:   Assume a three di...

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

A:

Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +...

A:

Q: Sketch the graph and show all local extrema and inflection points. 15) y = x- sin x, 0 sxs 2n

A: Given,            y=x-sinx , 0≤x≤2πTo find : Sketch the graph and show all local extrema and inflect...

Q: Exercise To Try 19 Find the equation of the tangent line to the curve below at the point (1, 2). + 2...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

A:

Q: Find the derivative of the function without using the Quotient Rule. y =

A:

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: x² – 6x + 8 - 4. Evaluate | I Tr? +1Xx–1) dx using Partial fractions. .2

A:

Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

Q: Consider the function fix) sin x. Complete the table below and sketch its graph. x011/6 11/2 5n/6 n7...

A:

Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

A:

Q: 4. Given the graph and function below, complete the table. Differentiable Continuous f'(x) Derivativ...

A:

Q: Use the Quotient Rule to find the derivative of the function. f(x) • X- 9 f'(x) =

A:

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: 2. Find the area bounded by the curves y = x? - 2x + 2 and y = - x+ 2. (о, 2) (1, 1)

A:

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: Use the eigenvalue-eigenvector method to solve the initial value problem (2 -7 0\ X = (5 10 4 x, X(0...

A: Given

Q: lay De recoraded Vià ány device capable of producing a digital video file, or can be recorded direct...

A:

Q: Helen has 14 vases of flowers. Some of the vases contain 3 morning glories. The other vases contain ...

A: Topic = Algebra

Q: dy Find using implicit differentiation, for the equation a + y=8 is da O O

A: Differentiate both sides with respect to x.

Q: a) dt 9 =dx xVln x b)

A:

Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: x-3 5. ; dx х2-6х-5 B.미x?-6x-5| + c cm +C D. 2 In tar 2 In + C

A:

Q: For S V1+ vĩ dx,x = O x = u^(1/4) O x = u^(1/2) x = u^4 x = u^2 O C

A: This can be solved as follows:

Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

A:

Q: The sum of the entries in row 10 of Pascal's Triangle is: O 211 O 102 210 10 acer

A:

Q: If the vector field F = (sinx + (7 + c)xy, (c + 1)x² – e') is conservative, then c=

A: Given

Q: - х e con 2x dx

A:

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: Is the sequence {=converges? If it converges, find its limit.

A: This is a problem related to series calculation. By using the several method we will identify the na...

Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

A:

Q: 1. Limit Vr+6–3 a- 3

A:

Q: In an isosceles right triangle ABC, with the right angle at C, the length of a leg is 20 inches. Per...

A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

Q: e ( + 4)2 dx = Evaluate the integral if it converges. Enter the exact answer, or enter na if it dive...

A:

Q: 3. Use the following table of values to draw the graph of cos x to determine the lim cos x. X f(x) x...

A:

Q: Question 9 of 10 View Polides Show Atterpt History Current Attempt in Progress Your answer is incorm...

A: ∫ (20x -20)dx/(3x2 - 8x -3) ∫ (20x -20)dx/( 3x2 -9x +x -3) ∫ (20x -20)dx/(3x(x-3) +1(x-3)) ∫ (20x -2...

Q: 2udu = 3 u? – (u²)?

A:

Q: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

A:

Q: V1+x² -dx

A: