O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1 *(1 + (In x)²)

Q: Find the unit tangent vector T(t). 16 r(t) = t²i+tj+k, P(16,4, 16/3) T(4)= Find a set of parametric…

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Q: * Incorrect. If y, and y₂ are linearly independent solutions of t²y" + 3y +(4+t)y = 0 and if W(y₁,…

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Q: 45-50. Approximating real numbers Use an appropriate Taylor se- ries to find the first four nonzero…

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Q: Identify the surface by completing the squares. A hyperboloid of one sheet. O An elliptic cone. O A…

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Q: Write the linear regression equation that represents this set of data, rounding all coefficients to…

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Q: Summarize all pertinent information obtained by applying the graphing strategy and sketch the graph…

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Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

A: Given problem:- A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y…

Q: Find the Laplace transform of coshbt. Recall that coshbt = OL{coshbt} OL{coshbt} O L {coshbt} O = =…

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: Given,           fx=cos8x , 0≤x≤π8, a=1

Q: The area of a healing wound is given by A = ². The radius is decreasing at the rate of 2 millimeter…

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Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 3 pounds of salt…

A: We are asked to find the  number A(t)  of pounds of salt in the tank at a time t

Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: If lim (x,y)→>(a,b) True False f(x, y) L and f is defined at (a, b), then f(a, b) = L.

A: The give statement, If limx,y→a,bfx,y=L and f is defined at a,b, then fa,b=L

Q: Evaluate the following improper integral 8 3 [x²²³x x² - x 2 dx.

A: Use substitution method for solving the integral.

Q: Evaluate the line integral curve C: x = = 4 cost, y (5x + 7y)dx + (3x − 6y)dy along the = 8 sint (0…

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Q: A manufacturer can produce 5130 cell phones when a dollars is spent on labor and y dollars is spent…

A: Topic- Implicit differentiation

Q: Question R is the region bounded above by the graph of f(x) = 2x and below by the x-axis over the…

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Q: 7. Matrix A is said to be involutory if A² = I. Prove that a square matrix A is both orthogonal and…

A: In this question we have to prove that a square matrix A is both orthogonal and involuntary.

Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

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Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at

Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

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Q: Boat A is traveling North with a speed of 10 miles per hour. Boat B is traveling Southeast with a…

A: The Solution is given below

Q: Q12) If f(x)= In(-5+x), then the domain of f(x) is (a)x>0 (b) x 5

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Q: 8. y = √√9-x over [1,9]

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Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

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Q: y = 322²=(2²+1) sings

A: I have stated the used formulas in the solution

Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: 9. Given the function y = x^3 - 9x^2 + 15x - 3. Determine the coordinates of the point of…

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Q: Find curl(2z + 3x j + 6y k). curl(2z i+ 3xj+ 6y k) = (i )i + (i )j + ( i )k

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Q: 22. Here is the region of integration of the integral ILS c. dx dy dz e. dz dx dy. (0, -1, 1) (1,-1,…

A: Given data:- Region of integration of the integral ∫01∫-10∫0y2dzdxdy

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_(ti + sin(t)j +…

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Q10) f a)x² + c sin"1x+cos-ix dx +c c)= x + c 12 +

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Q: Use Green's Theorem to evaluate the line integral. √ y² dx C: boundary of the region lying between…

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Q: 7. Choose the appropriate table for the differential equation X y ଶ୪ X y dx X Y -201 -4 1 2 2 -1 -1…

A: The solution is given below

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: We have to find the interval on which the vector-valued function  rt = 13t+1i + 1tj  is continuous.

Q: Find r(t). u(t). r(t) = (3t − 4)i + ¹1t³j + 4k 4 u(t)= t²i - 8j + t³k r(t). u(t)= Is the result a…

A: To find: rt·ut Given information: rt=3t-4i+14t3j+4k ut=t2i-8j+t3k

Q: 6. A spaceship moving away from earth with speed 0.90c fires a robot space probe in the same…

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Q: Answer true or false. If f is not plecewise continuous on [0, 00>), then {f(t)} will not exist. O…

A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)

Q: Solve the initial value problem. y" + 6y + 13y = 0; y(0) = 4 y'(0) = -11

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Q: 5. Solve the differential equation O 2 (3ײ–1³ e3 о 2 3x2-1 +C (3x²-1) Ce3 O None of these 1…

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Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

A: Using Newton's law of cooling: T(t)=Ta+(T0-Ta)e-kt...(1) where Ta= room tempeature=65°F, T0=the…

Q: Find the following for the given equation. r(t) = (e-¹, 3t², 6 tan(t)) (a) r(t) = (b) r(t): (c) Find…

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Q: Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 3, y'(-1) = 6. y(t) = = e -4t -4t + xe X

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Q: Solve this in excel using solver step by step 2x-8y=11 9x+3y=5

A: Given that, the system of equations is                   2x-8y=119x+3y=5 we can write the…

Q: A ship leaves port at noon and has a bearing of S 23° W. The ship sails at 20 knots. (a) How many…

A: Let's solve for distance(d).

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

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Q: Evaluate the definite integral. (Round your answer to three decimal places.) *In(8) ex dx 1 + e²x

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Q: Write an expression for the nth term of the geometric sequence. Then find the indicated term. a₁ =…

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Q: Use the formula к(t) = = k(t) = = ||r' (t) × r"(t)|| ||r'(t)||³ r(t) = t²i+t¹5j to find (t).

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