6. Choose the best answer. Simplify (Use Pythagorean identities): 2 cot2 0+3- csc? 0 -1 tan 0 +2 cot 0+2 O sin? 0+1

Q: Igure 3 below shows the region W bounded by the curve y x? and the line y = x. y dd or cre (6,6) rk ...

A:

Q: Find II| y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 E ...

A:

Q: Obtain the solution of the following differential equations. 1. y′ =x+1/y^4+1 when x = 0, y = 0 2. ...

A:

Q: Calculate the integral of 43) °dx.

A:

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into ...

A:

Q: COs n Find the limit lim n 00 2" If it diverges, enter DNE.

A:

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

A:

Q: A. Determine if the following functions are continuous at x = c. (f) f(x) = 23 - 3x; c= 1 %3D (g) f(...

A: NOTE: Refresh your page if you can't see any equations. . the given value of c is 1 so take x=1 ...

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) de

A:

Q: xdy – ydx – /x² – y?dx = 0 -

A:

Q: ft along a straight, level road decelerates at a constant rate of 22 ft when the brakes are app A bu...

A: Given query is to find the the displacement function.

Q: In problems 1-8 find the least order DE which has the general function as its general solution: 1. y...

A: I am attaching image so that you understand each and every step.

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

A:

Q: find lim 8-10%2

A: Simple limit 

Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(0)=0

A: Given: y''+12y'+37y=10e-4t So, we can also write as: D2+12D+37y=10e-4t The auxiliary equation is: m2...

Q: S V1 + x dx 5.

A:

Q: 3cot 3t csc2 3tdt 4+3cot 3t'

A:

Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: tan (log x) 2 dx 2 x(1+log*x)

A:

Q: Question 17 Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2)...

A: To find out the value of b. 

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

A:

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

A:

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

A:

Q: Solve for the constants of the integration and the general form of the equation.  Find f(x) if f′′′...

A:

Q: |sin (x)cos (x) dx

A:

Q: Question 15 Find the derivative of f (x) = (5x + 1)(2x² + x /æ ). Upload your work in the next quest...

A:

Q: A. Determine if the following functions are continuous at x = c. (a) f(x) = x+ 2; c=-1 (b) f(x) = x ...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 4) Show that the circumference of the unit circle is equal to 2 dz (an improper integral) 1-22 Evalu...

A:

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: 1. The derivative of f(t) = (4t² - t)(t - 8t2 + 12) is f'(t) = 20t* – 132t³ + 24t2 + 96t – 6. %3D

A: This is a question related to derivative of the function. Based on the general formula and rules of ...

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x...

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

A:

Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: The area of an ellipse is rab, where a and b are the lengths of the semimajor and semiminor axes. Co...

A:

Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

A:

Q: 1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg ...

A: Given:  The half‐life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0....

Q: Evaluate, thus Is 27- 5) Calculate the Taylor polynomials T2 (a) and T3 (x) centered at a = a of the...

A: Taylor polynomial is given as                                                                   Tn(x...

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: The bond angles in the central atom of CO32- are expected to be

A: This question is related to chemistry hybridisation.

Q: 5. (D² – 4D + 4)y = 12x + 2e3*

A:

Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

A:

Q: sin x For what value(s) of a is the expression undefined? 1+ cos x O OT - 2

A:

Q: 1. Using the definition, find the derivative of f (x) = x² – 8x + 9 at the number x = a.

A:

Q: 16. 15. sin x cos (x/2) dx 18

A:

Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.