lim [tan 3x]2x X-> 0¹

Q: Find the angle (where 0° 0 ≤ 180°) between the following vectors. an degrees Submit Question

A: Let a vector  and another vector Let angle between vector p and q is we can use the dot product…

Q: Which statement describes the general anti-derivative of the function f(x) = 3 cos(x)? The general…

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Q: 3) Maclaurin expansion

A: f(x)=3xsinhx+cos√6-1

Q: Stress balance. A 100-lb weight hangs from a rope, as shown in the figure below. Find the tensions…

A: weight=100 lb

Q: 8. Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: To solve this problem, we'll use the formulas for the volume and surface area of a sphere in terms…

Q: 3. Given the piecewise function, determine if the function is continuous at x = 1. Justify your…

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Q: A company wants to manufacture cylindrical aluminium cans with a volume of 1000 cm³. Determine the…

A: Question is based on Application of derivative.

Q: Given A = -ŷ B = 4A Find the angle between the vector A - B and the vector C whose length is √2 and…

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Q: The function f(x) = ln(1-x²) is represented as a power series f(x) = Σno Chan. Find the FOLLOWING…

A: Function  is represented as a power series To find: The following coefficients in the power series…

Q: Consider the function f midline. || Ampliude: A = Number 4 cos x - 6 1). Determine its amplitude,…

A: solution are given below

Q: Given: (x is number of items) Demand function: d(x) = 280 -0.2x² Supply function: s(x) = 0.5x² Find…

A: Given functions

Q: 5. Calculate each derivative using Implicit Differentiation: a) xy + y² = x²+x+1 b) y² + xy + y + 2x…

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Q: Write an iterated integral for dA over the region R bounded by R y=ex, y = 1, and x = In 3 using a.…

A: Here we have given an iterated integral over the region  bounded by:, and .

Q: f(x) = secx, x X = F|4

A: Given function: To find: Equation of tangent at

Q: 9-93 Evaluate the integral. 9. 11. 13. 15. f •·ST 17. 19. 21. Cos x 1 - sin x S √y In y dy In (In y)…

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Q: The height of an object t seconds after it is dropped from a height of 430 meters is s(t) = -4.9t² +…

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Q: Use the given information to find the unknown value. Y varies inversely with the cube of a When = 8,…

A: Given :To Find :value of y when x=1

Q: Can you write part a a bit more clearly. I can't understand what's happening where you are…

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Q: A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150…

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Q: Given f(x, y) = -6x² - 3x² + 6y, find fa(x, y) = f(x, y) = faz(x, y) = fay(x, y) =

A: Given FunctionFormula used

Q: Given the following nonlinier system, find all of the critical points, construct the Jacobian…

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Q: Consider the following function. ∞ f(x) = Σ Σ n=0 = a. Find the full power series of f(x) centered…

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Q: Heron's Area Formula Let a, b, and c be sides of AABC. Let s equal the "semi-perimeter" of AABC…

A: Given the sides of the triangle

Q: For the function f(x) shown in the graph below, sketch a graph of the derivative. You will then be…

A: The graph of the function f(x) is shown as,

Q: Using root test, determine whether the series P= for p: type the value in rational form, Ex. 2/3 The…

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Q: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

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Q: Find the average rate of change on the interval specified for real numbers h. g(x) = −5x³ on [−5, −5…

A: The given function is,

Q: 3. The motion of a particle is defined by the function s(t), where s is the displacement from the…

A: (a) S(t) is displacement and t is Time in second. S'(2) = 0 It mean that t = 2 is critical point.…

Q: The answer

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Q: 2. Compute the derivative with respect to x of each function below using differentiation rules. (a)…

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Q: If f(x) = f (1 - 1²) cos²t dt, on what interval is f increasing?

A: To determine the intervals on which the function  is increasing, we need to analyze its derivative.

Q: If f(x) = (3x + 1)5, compute the second derivative f'(x) at x = 0. f"(0) =

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Q: Problem 11. One-dimensional motion: Suppose a particle is moving along the x-axis to the right. The…

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Q: Evaluate the triple integral. JJJ. 7x dV, where E is bounded by the paraboloid x = 7y² + 7z² and the…

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Q: We know that y₁(x) = e-9 is a solution to the differential equation - 4 - 117y=0 for x = (-∞, ∞).…

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Q: X^4+y^4 =82 find the equation of the tangent line at the point (x,y)= (3,1)

A: Explaination of the answer is as follows

Q: (7) Calculate SS S x²y² z² du where :((D E |E= {(x₁ 7₁2) 1 - 1 ≤ x ≤1, - / ≤ y ≤1, -1 ≤2²₁}

A:

Q: 16 Maximize Q=xy, where x and y are positive numbers such that x +- Write the objective function in…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1600 yd…

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Q: 7. The displacement of an object in motion is described by s(r)-5-Inr, where s is measured in metres…

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Q: Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. arcsin…

A: arcsin(0.23)

Q: Find the derivative of f (x) = (ln(x))2

A: a) f(x)=

Q: 1) Given the curve y = x² over the interval [1,3], (a) Find the exact value for the area under the…

A: The curve is given as ,

Q: A cop sits in a parked car 10 feet from a straight road. As you drive along the road, the cop aims a…

A:

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the…

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Q: Find the unit tangent vector to the curve defined by F(t)= (3 cos(t), 3 sin(t), 5 sin²(t)) at t= 75…

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Q: In 2 2 Set up the iterated double integral f(x,y) dy dæ as dxdy such that: (iki katli integrali f(x,…

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Q: IF a. b = √√3 and a X b = (1,2,2) Find the angle between a and b.

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.

A: I think your question right format is -y dx + (x + (xy)1/2) dy= 0-y(x) dx + (x + √xy(x)) dy(x)=…

Q: 1 S₁+ 2√= (1 + √5)² dx

A: