Answer the following questions for the function f(x) = x√√x² + 1 defined on the interval - 6 ≤ x ≤ 4.

Q: Solve using the percentage proportion. If the percentage is 7.75 and the rate is 11-%, find the…

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Q: Determine the type of DE: [3sin (y) -5x ]dx + 2x²cot(y) dy=0 Homogeneous Bernoulli's equation Both…

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Q: A block of mass m = 5.50 kg is released from rest from point 3.20 m 2.00 m (a) Determine the block's…

A: We have to find the speed and work done.

Q: Find the volume of the solid bounded by the paraboloids z - 9+ x² + y² and z = 4x² - y².

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Q: A rectangle has one side of 9 cm. How fast is the area of the rectangle changing at the instant when…

A: Let length of rectangle=x cmLet width of rectangle=y cm We know Area of rectangle=Length × width

Q: Use what is known about the Taylor series to determine the Taylor series generated by: f(x) = arctan…

A: A detailed solution is given below.

Q: 70 In x Suppose the demand function for x thousand of a certain item is p = 100+ (a) Find the…

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Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: dy Write the function in the form y=f(u) and u= g(x). Then find as a function of x. dx y=(-1-73)¯**…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. 7 f(x)=x…

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Q: Suppose tan X=V²₁ cos x = -2V/² 2 J 5 Options A)-VE b)-3 c) SUG Part 1. Find Sin x part 2. Find CSC…

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Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: 9. Find the radius of convergence and the interval of convergence: n=0 (-1)" (x-3)" 3" (n+1)

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Q: Which of the following equation relating and x is correct? 1.0 = arccos 4x 2.0 arcsin = - 484 3.0 =…

A: To determine the correct equation relating θ and x is correct.

Q: Suppose K is a proper subgroup of H and H is a proper subgroup of G. If G has order 48 and K has…

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Q: 1. Evaluate the following: a) lim (sin (4-t) t→4 t-4 t²-16 t-4 ) √E-2) t-4 b) Find the derivative of…

A: See this solution in below.

Q: Let B be the basis of R2 consisting of the vectors and let C be the basis consisting of Find a…

A: A detailed solution is given below.

Q: nd the slope of the graph of the function g(x) = aph at that point. he slope of the graph of the…

A: The equation of the line tangent to the curve g(x) at point (a,b) is given as   (y-b)=m*(x-a)…

Q: 2. Find implicit dy dx at(5,3) for the following by differentiation: x¹5 - y² = 34

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Q: The length of a rectange is increasing at a rate of & cm/s and Its width is increasing at arale of 3…

A: Given: The rate of increasing of the length, dLdt= 8 cm/sec The rate of increasing of the width,…

Q: Find all critical numbers of the following function: t= f(t) = 3t¹/5 — 2+4/5 Answer Formats • If the…

A: Given f(t) = 3t15 - 2t45for critical number f'(t) = 0

Q: For what value of a is the following function continuous at every x? [a²x+2a, x²2 12, X<2 f(x) =…

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Q: The price-demand and cost functions for the production of microwaves are given as and p = 225 x 80…

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Q: Exponential function Situation: Suppose someone invests $1000 which is compounded with a rate of 6…

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Q: If R(t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

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Q: Evaluate the integral [[² x³ sin(y³) dy dx by reversing the order of integration.

A: NOTE: Refresh your page if you can't see any equations. . given limits are

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 (2/3)x dx

A: We have to find the indefinite integral.

Q: Question 7 What is the equation of the line tangent to the function y # None of the choices There…

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Q: the graphs of f(x) and g(x) are shown below. -5 Write g(x) as a transformation of f(x). g(x)

A: Topic -Transformation We are given graphs of f(x) and g(x)

Q: 10. Q (-10x+17) P and (-17x - 1)º b R (-32x+1) E

A: To find  the angle measure of -10x+17°, -32x+1°, and -17x-1° in the following triangle.

Q: Let f'(x) = f(x)=√cos(er³ sin(x))

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Q: x² - 49 X m →7 8 ln(x − 6)

A: Given query is to find the limit of the expression.

Q: Calculate the derivative function of g(x) g'(x) = C 8et 2-e²

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Q: Solve the DE in 3 ways: (Using 3 methods) (2y³ – x³) + 3xy²y'=0

A: We can find solution of the differential equation.

Q: A population of insects increases at a rate 230 + 12t + 0.9t² insects per day (t in days). Find the…

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Q: Determine if the following piecewise-defined function is differentiable at the origin. f(x) = The…

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Q: x ex dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: 3. $13. The demand function is D (p) this would be a good idea. A movie theater is planning to raise…

A: The demand function is D(p)=10015-p4 and current price of movie tickets is $13.

Q: A particle moves with position Function S= +"-41³-20t+ 20+ where t=0

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Q: 3. f(x) = cos x, a = π/2

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Q: Write the function in the form y = f(u) and u = g(x). Then find -2 9x x- (₁ - 2 - ² ² = 4 2 as a…

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Q: What are the possibilities for the number of times the graphsof two different quadratic functions…

A: Quadratic Functions:- A polynomial function with one or more variables, where the largest exponent…

Q: ƒ'(x) =

A: Topic:- application of derivatives

Q: Calculate the derivative indicated. Answer: d²y dx² x=6 where = 1/1 +8₂ y =

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Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 1800t + 1500 votes per…

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Q: c) f(t, 2te-t², tan 2t)dt

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Q: Find the indicated limit. Make sure that you have an indeterminate form before you apply l'Hôpital's…

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Q: 1. Find the volume of the solid that lies under the plane z = 2 - x - y and above the square [0, 1]…

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Q: Suppose that f(x, y) = eª /y on the domain D = {(x, y) | 0 ≤ y ≤ 2, 0 ≤ x ≤ y³}. D a Then the double…

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Q: Solve the system. State whether the system is inconsistent or solutions. has infinitely many If the…

A: The objective is to find the solution of the linear system.