Find the derivative of the foll owing functions. Show complete solutrons, including trigonometrie identitier D- Hyperbolic Functions H y= cosh Cdx-1) 22 y= In tan h? 3x. 3-) y= Are sin tanh x 3:)

Q: A rectangular building with a square front is to be constructed of materials that costs 18 dollars p...

A: Solution of question is written in below steps.

Q: TT 1 4.) S“ S,x² sin(xy) dydx

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...

Q: 3. Consider the ellipsoid x2 + 4y2 + z? = 18. Find the acute angle that the tangent plane at the poi...

A: Let us consider two surfaces f(x,y,z)=0 and g(x,y,z)=0. Now let n1 and n2 be two normal vectors on t...

Q: To start a new business Beth deposits $1000 at the end of each period in an account that pays 9%, co...

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Q: flying horizontally at an altitude of 1 mile and a speed of 480 mi/h passes directly over a radar st...

A: Topic:- application of derivatives

Q: Sketch the region bounded by the given curves and find its centroid

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2, ...

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: secʻø =d¢ /5-sec²4 - sec2ø

A: Dear student in place of x assume phi(ϕ )

Q: Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,...

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Q: 2 6x 4 1+4x¯ dx

A:       ∫ 6x41+4x2dx=6·∫ x41+4x2dxLet x=tan u2.=6·∫132tan4usec3udu=6·132·∫-1+sec2u2sec3udu=6·132·∫sec3...

Q: Sketch the level curve of the function y? f(x, y) = 36 4 for c = 1. 7- 4- -8-7 -6 -5 4 -3 -2 -1 2 3 ...

A: Explanation of the answer is as follows

Q: Your monthly profit (in dollars) from selling magazines is given by P = 7x + Vx where x is the numbe...

A: Monthly profit (in dollars) from selling magazines is given by the function,        P=7x+x Where x i...

Q: Consider the following. z = x2 + y2, x = 3s + 7t, y = s +t az az and as Find by using the chain rule...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = x², y = 2x

A: Given; y=x2, y=2x   The expression for the centroid is: x¯=1A∬xdydx ;  y¯=1A∬ydydx Where; Area=A=∬dy...

Q: or f (x) = e-*+3, find f'(2.5). %3D

A: Given query is to find indicated derivative.

Q: Given f(x, y, z) = ry' z°. Which of the following is the gradient vector of f at the point (1,-1,-1)...

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Q: Find all zeros of the function f(x) = 1° + 3z – 2z - 2. a. Give a brief description of the steps you...

A: We have to find all zeros of the function  f(x) = x3+3x2-2x-2.

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: farmer who owns a field adjacent to a straight river wishes to fence a rectangular area. No fence is...

A: Given query is to find the dimensions of the rectangle.

Q: b.y = x100 ; find dx100 d'100y (100th derivatives)

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Q: X 3 4 F(x) 0.5 0.3333 0.25

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Q: sin -x/3) dx xp. Evaluate the integral| 19-x sin(x/3)dx -1 dp, %3D X-6/ 9-X

A: We have to find integral

Q: 2 4 | 6x V1+4x dx

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y...

A: Let's find. 

Q: Find length of curve y= 2/3 (1+x^2)^3/2,  0<= x<=1

A: Let's find. 

Q: 2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is...

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Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give you...

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Q: n³ x xp- ec x

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

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Q: 1. The number of accidents (y) in millions for drivers of age (x) was predicted by an insurance comp...

A: Solution of question is written in below steps.

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another ...

A: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another ...

Q: Find the volume of the solid enclosed by the paraboloids: z = 2x2 + y2 and z = = 27 – x² – 2y2. 5.

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

A:

Q: 2 y=x¯,y= 2x

A: The objective of the question is calculate area of the bounded region .

Q: Question 3 Evaluate the integral. 25 cot2x dr sin 2x Solutiont

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = 9i – 6j+ 3k, v = –...

A: We will calculate the dot product and the angle  between these vectors to solve this question.

Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

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Q: Suppose you know the following: f( – 3) = 4 f'(- 3) = 5 • f'(x) is continuous for all a Find the fol...

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Q: cos400 de J3- sin40

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Q: Find the sum of the infinite series. 1 + 18 · 29 1 1 + 29 · 40 1 +... 40 · 51 + 7. 18

A: We can solve as follow.

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v = (3,...

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Q: . A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the f...

A: Explanation of the answer is as follows

Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the g...

A: We will find the implicit differentiation at a point. 

Q: Find the directional derivative of f(1, y) = Ie – ye² at (0,0) in the direction of w = 5i – 25.

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Q: Calculate the partial derivative dw using implicit differentiation of w+x? = at (x, y, w) = (1,2, 1)...

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