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

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: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

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

A: second derivative

Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: y' + = 2x/y;;y(0) = 2 3. + 3x²y = 6x²; y(1) = -2 dx 4.

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Q: 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What…

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Q: PLEASE SHOW ALL YOUR WORK...WRITE YOUR WORK AS NEATLY AS POSSIBLE. 1)Given that : f ( x ) = x3+9…

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Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for…

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Q: 4 1 |x²ydxdy 4. 2 0

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Q: Solve the problem below. Be sure to show all calcula- tions. Explanations given to justify your…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: - ydy (y + 1) - J y + 1

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Evaluate the following rational function with the following (a, b, c, and d). 5+3x*+4x3-13x2+13x-1…

A: Let's find.

Q: ind a function F(x) satisfying the given conditions. . F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2)…

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Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: 9y²dy 1+ y*

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Q: Choose the correct speed and direction of a plane with a velocity of (5,-12) 13,113° 17,293° 17,113°…

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Q: y Find the equation of tangent line to the curve y'+ln =1 at the point ,2 (1, 1).

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Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w…

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Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy %3D 0

A: To solve the given first order differential equation.

Q: Given (x,y)=4xy−x4 −y4 −3 Find the relative maximum, relative minimum. and the saddle point of f (if…

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Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given: A sillo consists of a right circular cylinder surmounted by a hemisphere. To find: The most…

Q: Find the area of the shaded region. The image is not to scale. x=-Cy x=d- y? Consider c=1, d32.…

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Q: w³sec?xdx – (1 – 2w²tanx)dw = 0

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Q: The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by…

A: T(x, y)=x4+16y4-32xy+43Tx =4x3+0-32y(1)+0Tx=4x3-32yTxx =12x2-0Txx =12 x2Ty…

Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: y = In (*+1) °(x+1), (x+2)3

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Q: Use THIS standard form for a tangent plane: - fz (x1, yı) * (x – x1) – fy (x1, yı) * (y – y1) + (z –…

A: Given

Q: 2. y' + xy = xy

A: Find your answer below

Q: (x+1)* 40. k! k=0 IM:

A: The given power series      ∑k=0∞x+1kk!

Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

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 the interval of convergence. 00 (x + 6)" Σ (n In(n))² n=2 (Use symbolic notation and fractions…

A: The given series is: ∑n=2∞(x+6)n(n(ln(n))2 Let, an=(x+6)n(n(ln(n))2, n>1

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

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Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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Q: -3x 4. Y= -3x

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Q: Consider the following function. f(x) = 16 – x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 24) V = a = b =

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Q: Evaluate the following rational function with the following (a, b, c, and d). 1.…

A: Please see the answer below.

Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

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