Given vectors d, a, and b. If d = a x b, then a • d% = Oax a • O a x (b • b) O (a • b) x b

Q: Determine the differential operators of the following: 1. Solve d^2/dx^2(e^3xsinx) using exponentia...

A: Given,  d2dx2e3xsinx Thus, the differential operator is p(D)=D2=d2dx2. To solve the d2dx2e3xsinx by ...

Q: Find the exact length of the curve. y = 5 + 8x3/2, 0sxs1

A: Given: y=5+8x32,   0≤x≤1

Q: In ∆ABC, m∡A = 30°, b = 6√2 ??? ? = 6. ???? ?ℎ? ???????? ?? ?????? ? ??? ?.

A: answers are ∠B = 129.29°∠c = 20.70° detailed solution is given below

Q: Find the curvature κ(t) of the curve r(t)=(−4sin(t))i+(−4sin(t))j+(−5cos(t))k

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Q: A computer purchased for $1,050 loses 19% of its value every year.The computer's value can be modele...

A: giveenv(t)=a.btaccording to queestion it can be written asv(t)=1050(1-19100)t v(t)=1050(.81)t after ...

Q: 1. Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in producti...

A: Given: Cost of producing x jerseys: Cx=2000-10x+0.2x2 0≤x≤500  

Q: 23. A teacher and her students established the following sys- tem of measurements for the Land of Na...

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Q: Evaluate and write the exact answer in radians (no decimals): cos^−1(-1/2)

A: letx=cos-1(-12)

Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius t...

A: Given: r=5.8 in∆r=±0.021 in

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: 54° 35 Find the length of the side opposite to the given angle. (Round your answer to two decimal pl...

A: The figure below indicates the given diagram. The tangent of angle B is, tanB=ACBC Substitute the v...

Q: Solve the right triangle shown in the figure. B = 15.6°, b 33.5 a A b

A: Given,           A right triangle with B=15.6° , b=33.5        

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Let the given integral be y - y = ∫x2+1x-7x-62dxBy partial fraction, decomposing the function inside...

Q: 4. At Wally Motors, an auto engineer, in testing a new engine on one of its new models, found that t...

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Q: 1 Evaluate dr. (포- 1)3/3

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Q: (Checkpoint 3, Problem 1) A particle moves according to the parametric equations -1-1. y= 4t- (a) Fi...

A: Note : As per authoring guidelines, when multiple subparts were posted, then only first three parts ...

Q: x² –2x+1 x²-2x+4 1. The function P (x) = models the proportion of a person's social network that has...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: Find the absolute minimum and absolute maximum values of fon the given interval. Rx) = x- In(7x), 2 ...

A: The given function is fx=x-ln7x,  12,2.

Q: Solve the application of derivative with step by step process of the solution.

A: To find the dimensions : Here w = width         h = height         d = diameter By Pythagorean theo...

Q: 7. Find the most general antiderivative, F, of f(x) = (2+x*) (10– x³). a) Fle) - (2+) (10r -) +c 2х ...

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Q: If f(7) = 13, find f −1(13) assuming this is  a 1 to 1 function thanks

A: If f is one to one function then its inverse function is also well defined. thus if f(x)=y then f-1(...

Q: A streetlight is mounted on the top of a 15-foot tall pole. A 6ft tall woman walks away from the pol...

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Q: Evaluate the integral  6 / x^(-1)+3  dx

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Q: Please help with 13

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Q: erform the (+, J,n)analysis f oy local maxima

A: The function f(x)=e-x2. To determine the local maxima or local minima of the function, fx=e-x2. Take...

Q: Please show me how to set up the intergral.

A: volume generated by revolution of the solid is 19π12 detailed solution with explanation is given bel...

Q: The linear approximation of f(x) =/e3x +3 at a = 0 is L(x)= 0.25(3x+8) L(x) = 0.25(x-4) L(x)= 0.25(8...

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Q: A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are ...

A:

Q: Solve the separable equation  (initial value problem)

A: givendr+rtanφdφ=0dr=-rtanφdφseparate variables1rdr=-tanφdφintegrating on both side

Q: Evaluate the line integral, where C is the given curve.   xyeyz dy,   C: x = 3t,    y = 4t2,   ...

A: Given  f(x,y,z) = x . y. eyz,   Where  C :  x = 3t, y = 4t2  and z = 2t3 ,  0≤t≤1 We have the curve ...

Q: Two cars are each 100 miles away from the town of Tucumcari, one directly to the north and the other...

A: Consider the given information: tanθ=100100tanθ=1θ=tan−11θ=45° Hence, Along the line AB across velo...

Q: Photo

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

Q: Assume that an object has a constant acceleration of 10 m / s ^ 2 . Initially, the object is station...

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Q: (* = 8 cos(t) y = 7 sin(t) Find the exact slope of the tangent line to the parametric curve at the p...

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Q: Find the equivalent expression: cot e+ 1 Select one: O a. tan esec²e O b. cot² @sec² e O c. cot? @co...

A: Given expression is , cot2ϑ+1 Use trigonometrical identity cotθ=1tanθ Now substitute 1tanθ for cotθ ...

Q: dy - y = 3e*y' dx . Solve the Bernoulli differential equation

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: f(x)=4x3+3x2 To take antiderivative , we take integral ∫4x3+3x2dx Now we integrate each term, apply ...

Q: The population of Egypt can be modeled by the function P(t) = 114(1 +0.018)* where P(t) measures the...

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Q: 1) Your velocity is v(t)=ln(t2+1) ft/sec for t in seconds, 0≤t≤3. Find the distance traveled during ...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want help...

Q: 5. Trace the curve r = sinecos³e.

A: To find the trace of the given curve r=12sinθcos3θ

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and ...

A: Answer and explanation is given below

Q: A graph of a quadratic function f is given. y 15 10 - 10 -5 5 10 -5 - 10 - 15 (a) Find the x-interce...

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Q: Evaluate the double integral f(r, 8) dA, and sketch the region R. n/2 9. re dr de

A: Answer and explanation is given below