Use the formula for K to find the curvature of y = In (sin x), 0

Q: Find the differential of the function f(x, y) = 3x√y at the point (3, 1) using Ax = -0.3 and Ay =…

A: Given f( x , y ) = 3xy∆x = -0.3∆y = -0.1

Q: Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

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Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: K The function p(t) = 2000t 4t+75 gives the population p of deer in an area after t months. a) Find…

A: we need to find out the derivatives.

Q: Solve the following differential equation u'(t)+u(t) = sin^2(t)u'(t)+1 with the initial condition:…

A: We are required to solve the differential equationu'(t)+u(t)=sin2t.u'(t)+1 given uπ4=5

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: 98 x = 62° 29° NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to…

A: We are required to find the value of x

Q: Given that f(-1) = -5 and f'(-1) = 4, find an equation for the tangent line to the graph of y = f(x)…

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Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

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Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

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Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

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Q: Linear approximations with the tangent plane (Textbook) xy 4 Find the linear approximation to the…

A: To find the linear approximation to the equation fx, y=3xy4 at the point 8, 2,  and by using it to…

Q: x + 1 X-7' (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

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Q: e20 sin 30 de

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Q: by a factor of 5 not 1/5?

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Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: 1 (t² +3t+1)/2 19½/2 f) f(x) = -

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Q: Solve. Be sure to show and explain your work. log4(x + 3) + log₁(x − 3) = 2 Answer: log4(x + 3) +…

A: We have given logarithmic equation  log4x+3+log4x-3=2 Using formula  loga+logb=logab ........(i)…

Q: The population of the world x years after the year 2010 is predicted to be 6.9e0.00743x billion…

A: The population of the world x years after 2010 is predicted to be 6.9e0.00743 x billion people.…

Q: Solve the equation for exact solutions over the interval [0°, 360°). 4 cos ^2x − 1 = 0

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Q: Let a = 3/2 + 34. (a) Compute a³ and write it in the form pa+q where p and q are integers. Use this…

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Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: according to bartileby we do only first part of multiple there for please re post other parts in…

Q: number of 3D movies released in a country in recent years is approximated by f(x) = x². 29 and…

A: Given query is to find rate of change in 2029.

Q: Differentiate. F(x) = (7x+1)²2 F'(x) =

A: Given: F(x)=(7x+1)2 Differentiate with respect to x ddxF(x)=ddx7x+12

Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

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Q: Let f(x): = x + 6 x + 5 (a) Compute the difference quotient of fly)

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Q: Let (i) g(x) = = (ii) (a) Evaluate each of the following, if it exists. (If an answer does not…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: How much work is done (in J) when a weight lifter lifts 170 kg from 1.5 m to 2.0 m above the ground?…

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Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

Q: +68. Use L.T. s to solve the following D.E. d²v(t) + 5 dv(t) + 6v(1) = 40e^u(t) dt² dt v(0) = 5,…

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Q: 5 A 8 B

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Q: To determine To find: The value of lim tan-¹ (Inx). x-0+

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Q: 4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

A: Given: Here, we need to find the area between the curves f(θ)=cos θ  and  g(θ)=0.5. Now,…

Q: Find the derivative of the function. g(x) = - J√x 8 √t sin(t) dt

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Q: Use the given information to find the indicated probability. A and B are mutually exclusive.  P(A) =…

A: GivenP(A)=0.8P(B)=0.1A and B are mutually exclusive   We are required to findP[(A∪B)']

Q: Given lim f(x) = -2 and lim g(x) = 4, evaluate: x-1 x-1 lim (-3f(x) +5g(x)) = x-1 lim (-3+5f(x)) =…

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Q: 2.10

A: (a)  x=3y-3y3 ,  about x axis volume(V)=∫ab2πR(y)H(y)dywhere R(y) is radius H(y) is height

Q: cion over the given interval.

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Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

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Q: dp For the demand equation, use implicit differentiation to find dx dp dx || 1 13p² + 9p+ 4 = x

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Q: Which of these does it makes sense to model with a continuous function as a function of time? Write…

A: oxygen concentration in a patient's blood: Continuous heart rate on the scale of seconds:…

Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: The number of 3D movies released in a country in recent years is approximated by f(x) = In 2021 the…

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Q: The distance of a particle from some fixed point is given by the following function. s(t)=t² +5t-4…

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Q: Question 2 You want to use the tube method to find the volume of the solid obtained by rotating…

A: Given: use the tube method to find the volume of solid obtained by rotating about y axis the region…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Question -   Use the method of cylindrical shells to find the volume generated by rotating the…