Suppose that sin(θ)=4/8. What tan(θ)=______.

Q: Solve the following differential equation on the interval (0, ∞) (in other words, dy y² = x² + y² dx…

A: Solution of given question is written in below steps.

Q: S 10dz 4z3-4z²+5z

A: To evaluate the given integral:

Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

Q: 2 (0) IF F(x)= x 'e', Find f'(x) and F (1)

A: Finding the derivative of the function.

Q: 7. Find the limit as x approaches 0. F V I 2 2 O infinity O limit does not exist Oo .

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Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

A: The given problem is solved below in detail.

Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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Q: Perform bisection method on approximating the root of the equation x³ + x²-x + 7 = 0. Use initial…

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Q: (CLO-3) Find the absolute maximum value of the function f(x)=x³-12x+3 on the closed interval [-4,3].

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Q: Evaluate x³ dx (x4-5)4

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Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

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Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: Five years ago you opened a savings account with annual compound interest by depositing $1,200. You…

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Q: (e) ƒ(x) = x³ (x + 5)²

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² x 10

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Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: 10. Find the limit using any technique. The limit of f(x) = 2x² - 3 as x approaches -3. 15 21 limit…

A: To find limit of f(x)

Q: An airfighter plane is flying west at 5 feet per sec at an altitude of 4000 feet.  The plane is in…

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = xy + 2y², Po(-7,-9),…

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: This question is designed to be answered without a What is the particular solution of d = 2xy-y…

A: Solving the differential equation by seperation of variables.

Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

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Q: SUBJECT: DIFFERENTIAL CALCULUS FIND THE FIRST DERIVATIVE OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR…

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: x²y" - 3xy' - 2y = 0

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Q: (c) 1 e¹/x x² dx

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Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin…

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

Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: 16+29

A: Given :16+29

Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

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Q: Evaluate the following integrals: O •(Cartesian to Polar) Civen the cartesian coordinate find FOUR…

A: Follow the procedure given below.

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Evaluate the limit tan z lim 20 3x

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Q: The displacement (in meters) of a particle moving in a straight line is given by s= t2 - 5t + 16,…

A: We want to find average velocity.

Q: * Use Cramer's rule to solve the equation X +y +z 2x -y 3x +2y -z ↑ Add file || || || 1 4 -3

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Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: Additional Activities (-2.39) (14) 4 20 10 885 40 50 1 (2.7 3 B. Locate and classify the critical…

A: Given