Derive the derivative function for secx and express your answer in product form.

Q: メ-1dx

A:

Q: Find the exact area of the surface obtained by rotating the curve y =x2, 3 0<x<12, about the y-axis.…

A:

Q: Solve the differential equation: dx+(x-y+2)^2dy=0

A:

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: t2 5. x= t-1 y = 12-1

A:

Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: Solve the ff first order DE using integration method, by substitution, or bernoulli's equation. show…

A:

Q: Use the parametric equations of an ellipse, x = a cos(e), y = b sin(e), 0 se s 27, to find the area…

A:

Q: 7. Two functions are defined as f (x) and g (x) = where x * 1. a) Find f (x) g (x). Simplify your…

A: We can solve the given question as follows:

Q: e* +e* -x? -2 1) Lim sin² x – x²

A:

Q: Streaming Music Consumers are spending more on music from digital sources than they do on CDs.…

A: f(t) =3.7+ln(t+1)(a)in 2012 , t=0f(0)= 3.7 +0.84 ln(0+1) = 3.7+ln1=3.7+0f(0)=3.7Amount spent by…

Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

A:

Q: dx + (x – y + 4)²dy = 0

A:

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A:

Q: x3 +1 4. Let f(x) Show that lim,→±∞[f(x) – x²] : = 0. This shows that the graph of f(x) approaches…

A:

Q: 4.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it.…

A: To tell which of them are exact differential equation.

Q: The base of a three-dimensional figure is bound by the circle x2 + y? = 9. Vertical cross sections…

A:

Q: (2 f" = c-1fi-1 + Cfi+ Cfu A. Find the coefficients of the following derivative %3D

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2…

A:

Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Find the unit vector of n = (-4,-3) . 45 35 5 5 4 3 14 3\ 5'5, 45 35 5

A:

Q: 2. Given f'(x) =p find x-2)=" a) the values of all critical numbers b) intervals of increase and…

A:

Q: Exercise 1. Solve and Describe The scores of individual students on a national achievement test have…

A:

Q: What is the area bounded by:(answer must be fractional form) x²=-9y and y+1=0

A:

Q: ength of the curve 1 1 < x < 2. 6 10x3 +

A:

Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: Find the average value of f(x) = over the interval [1, %3D (2x2 + 1)? Enter the exact answer.

A: Given:f(x)=x2x2+12    a=[1,3]

Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: V2+x² lim x-

A:

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: if xo = 2, x1= 3 and x2 = 4 the second degree %3D %3D polynomial for f(x) = ! using Lagrange %3D…

A:

Q: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

A:

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

A:

Q: Evaluate the following limits analytically, if it exists. (a) Vx+14 – 1 lim x→-10 2x (b) 5x +7x lim…

A: Given problem:-

Q: Which of the following could be an example of a function with a range (0 and a domain ) where a> 0…

A: Let's find.

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

A:

Q: Use the PARTIAL DERIVATIVES and find the implicit derivative dy/dx at (r, y, z) = (1, 1, 1) on this…

A:

Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

A:

Q: For 4. Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A: see below the answer and explanation

Q: How 3 Find the absalute maxine and minima for the funCtion (4x-x) Cosy an the rectangular plate…

A: We have to find the absolute maximum and minimum.

Q: 9y²dy 1+ y*

A:

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³(x + sin x) %3D

A:

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

A: