To evaluate e"sin (e2^) cos(e2") dx. we let u=e* A True

Q: Use the &-e definition of a limit to show: lim (3- x) = -2 | x5

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Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as ind...

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

A: It is given that, the foot of the ladder is sliding away at a rate of 1.5 m/s when it is 4 meters fr...

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: iven curves. y - x?, y - 2x - x? y

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Q: 1. (a). Find the linear approximation to f(x) = VT at a 81, (b). use it to approximate 85. (c). Comp...

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Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

A: Given query is to find the value of the integral.

Q: 5. Find the Cartesian equation of the plane that has a z-intercept of 3, a y-intercept of -2, and is...

A: Explained below

Q: Find the percentage rate of change of f(x) at the indicated value of x. F(x)=8250-5x^2;x=25. The per...

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Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exa...

A: We can find the area as below.

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

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Q: Q3 : Evaluate the following integral. X4V9-x2

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Q: Find the area of the triangle with vertices P(1,4, –5), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

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Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

A:

Q: The management of the UNICO department store has decided to enclose an 883 ft2 area outside the buil...

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Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are differen...

A: Topic:- function and it's Derivatives

Q: dy Example 1.2.15: Let y=6u' + 5u , u=ln x, find dx

A:

Q: 1/8 | x In (8x)dx

A: To find the value of integral substitute 8x=t

Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost...

A: Solution is given below:

Q: Test II. Match the definition in column A to the corresponding theories in column B. Column A Column...

A: Find your answer below 

Q: Find the volume of the following solid. The solid S between the surfaces z= ex-y and z = - 4 ex-Y, w...

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Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak 

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an...

A:

Q: The rectangular coordinates of a point are given. Plot the point. (-3V2, -3V2) y y 6 4 4 2 2 -6 -4 -...

A: Option 4

Q: 1. Determine if the series * (H) cos en? n=1 is absolutely convergent, conditionally convergent, or ...

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Q: explain

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Q: 1 1. lim In (x- 2) x-3 X-3+

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Q: An 8- meter ladder with its foot 4 meters from the wall slides away at a rate of 1.5 m/s.

A: Find your answer below 

Q: Q4 A) What is the value of the limit of the function f(x) as x approach 0 x+2x-3 sinx + 4 <f(x) < x-...

A: Topic:- limits and function

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact ...

A:

Q: The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general...

A:

Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of th...

A:

Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

A:

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is nor...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: 3. arcsin (cos A 3

A: Consider  arcsincos5π3

Q: 2. What is the domain of y = 3x + 2? a. (3, +0) b. (-0, 3) c. (-00, +0) d. (-0,3)(3, -0) 3. What is ...

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Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

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Q: II. Find There is no need to simplify. dr cos-(sin r) – sech(tan- r) 1. y = ecosh z 4r (log3 r) (csc...

A: Given problem:-   To find:-  dy/dx of given function

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: A parabola passed through (3,15) and (9,15). Determine the axis of symmetry The x-intercepts of a q...

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Q: 8. Sy'dy = 9 S 4x dx =

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Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

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Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explanation of the answer is as follows