For the following exercises, find the derivatives for the functions. sinh (x) 410 e

Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

A: Given that, The equation is following, log(x) = 1 - log(x - 3) we have to find the solution of this ...

Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous a...

A: Function limit and continuity 

Q: Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be mod...

A: Given: P(t)=63t+6t2 -t3  

Q: Find the linear approximation of the function  f(x, y, z) =      sqrt(x2 + y2 + z2   at (4, 8, 8) ...

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Q: (2) Consider the coin-tossing example we did in class (Lecture 9 on Feb 25). The coin parameters are...

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Q: Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2 at (4, 8, 8) and use it t...

A: Solution is given below:

Q: g (x) = -2x3 Vx²+1

A: Topic = Functions

Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: (2) The number of people in a certain community who contracted a certain disease is modeled by 1000 ...

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Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: 2. A hemisphere of radius 12 miches and base up is full of water that Funs out thrdugh an orifice of...

A: Given:  A hemisphere tank of radius (R) = 12 in =0.348 meter Area of orifice (a) = 1 in2 =0.00064516...

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

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Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

A: Since each small square has a side length of 1 mm, and as we can see that the base is equal to 8 sid...

Q: Considered the graph of Function a. -2 a. lim a (x) x--2- Choose

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Q: handwritten The derivative of the function

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Q: Section 2.9 p. 252/254 # 388 For the following exercises, find the derivatives of the given function...

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Q: For the given double integral, sketch the region of integration and reverse the order of integration...

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Q: Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (...

A: Given problem:- sec(195°) Use a calculator to evaluate the trigonometric function. Round your answer...

Q: Given Cost and Price (demand) functions C(q) = 120q + 45000 and p(g) = - 2.6q + 800, what profit can...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the price funct...

Q: If log „x= 0.32 and log „z= 0.83, evaluate the following expression. log b

A: topic - logarithmic operations logab=log a-log blog am=mlog a

Q: Use the given value and the trigonometric identities to find the remaining trigonometric functions o...

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Q: ; lim f(x) ; lim f(x) = 1. f(x) 51 曾()- X-1 2. f(1) = 4 3 3. lim f(x) ; lim f(x) ; lim f(x) %3D %3D ...

A: Topic =Limits

Q: 1 | (2³ + æ) (x* + 2a² + 9) i dæ = 4 (x° + x) (x* + 2x2 + 9) dx (A) 1 2 3 4/3 – 9 - D) 16/3 – 18

A: We have to find the given integral.

Q: 5. ( + v?Va? +y?) dx – xy /a? + y? dy = 0

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

Q: y(2x3 -x2y + y3)dx – x(2x³ + y3 )dy = 0

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Q: orm f(x) = ar² + bx +c whose graph %3D

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Q: In the previous Problem Set question, we started looking at the position function s (t), the positio...

A: Solution ) s ( t )  = e 7t sin(2t) Velocity function v(t) = s'(t) [ we use product rule  {F(x) , g(x...

Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: Write a possible transformation in function form that will transform the ordered pair (-1,4) to the ...

A: Topic:- geometry   

Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: Give an example of a function f such that lim f(x) exists but f(0) does not exist. Give also, an exa...

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Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x,y) = x² – 6xy + 8y³

A: To find the local maxima, local minima and saddle points for the function: f(x,y)=x3-6xy+8y3

Q: Find the velocity, acceleration, and speed of a particle with position function r(t)=⟨3tsint,3tcost,...

A: Given function is r(t)=(3tsint, 3tcost, -8t2) Find speed of a particle

Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(9x) dx

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Q: Given Cost and Revenue functions C(q) = q° - 8q + 51q+ 5000 and R(q) = - 3q +2400q, what is the marg...

A: Given query is to find the marginal profit on production level of 60 items.

Q: Find the equation of the tangent line to the graph of y = 6" at x 1. NOTE: Round the slope to one de...

A: y=6x The point is at x=1: At x=1, y=61=6 So, the point is (1,6)

Q: 4. Calculate the volume of the solid obtained by rotating the region bounded between y = -x and y = ...

A: Note :- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly r...

Q: A function f(æ) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

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Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x = ...

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Q: solve using reduction of order (D^2+1)y=tanx

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Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

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Q: The cost, in dollars, of producing x units of a certain item is given by C (x) = 15x - 4VE – 9. Find...

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Q: 1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

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Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: A singular value decomposition of A is as follows: [5 0] 0 5 0 0 -0.5 -0.5 Lo 0 [0.5 0.5 -0.5 -0.5 0...

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Q: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x) +x...

Q: Express the repeating decimal as a fraction. 0.434343...

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Q: 4-2 3dr +c %3D

A: Integration    False