Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

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Q: Find all the derivatives of f, given f(x) = x3 - 5x' + 4x6 – Tx* + 3x3 + 11.

A: This is a basic derivative problem

Q: Question Solve the following initial value problem. f"(x) = -12x² + 18x+6, f(0) = 11, f(2) = 43…

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Q: Question 7 Find the volume of the solid that results when the region enclosed by the given curves is…

A: We need to find volume of enclosed region.

Q: The integral Sr Si rdz dr do represents the volume of a solid. What is the solid? half a cylinder…

A: Cylindrical coordinates :       x = r cosθ , y = r sin(θ) , z=z where,    x2+y2 = r2   and θ =…

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b 1.2 cm. %3D (Note that the triangle shown is…

A: Explained below

Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

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Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: Find y' if x Y= y* %3D

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Q: 13. sec*0 sin 8 de

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Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

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Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

A: Given problem:- In a trend that scientists attribute, at least in part, to global warming, a certain…

Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: 1. Suppose a car is travelling on a straight road and s(t) is the distance travelled after For…

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Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

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Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

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Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

A: Topic:- application of derivatives

Q: dx 29. Evaluate + sinx + cosx c) h|1- tan | +C D) tan{1- tan +C A) tan 1+ tan +C B) h1+ tan +C

A: To Find : ∫11+sinx+cosxdx     Note : a)  1+cosx=2 cos2x2b)  sinx=2sinx2cosx2

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: 4- The number of element in the sample space when you flip 3 coins together a) 2 b) 8 c) 6 d) 12

A: To find the number of elements in the sample space when 3 coins are flipped together.

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

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Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D

A: ∫01xx2+9dx

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: 1 3. (x+1)(x²+4)² dx

A: The given integral is  1/[(x+1)(x2+4)2].

Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

A: First  I have found the Area of the shaded region region then find the critical point and then find…

Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: Assume the coefficient on Age is -0.052 and the coefficient on Age-Squared is 0.0007. Based on this…

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Q: Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use…

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Q: x³+2x? -3x x²+4x+3 2) Evaluate lim -6-1. x→-3

A: Use l-hospital rule.

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Given 9. f(x) dx = 5 and f(x) dx -2 evaluate each definite integral. (a) f(x) dx %3D (b) f(x) dx =…

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Q: A metal sheet is shaped as a region R on the plane defined by the following: 0 <x < 2, 0 < y <4- x².…

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Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

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Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: Let f be a function defined by f(x) = In(2x2 + 1) and let g be a function defined by g(x) = 2x4 –…

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Q: f fcx) = 5 Ccor"2x) 131

A: The objective of the question is determine the derivative of the given function.

Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question

Q: Find the vector

A: The vector r=&lt;a,b&gt; is written as, r(i)=ai+ bj