Find the exact slope of the tangent line to the parametric curve t = ㅠ 3 Give an exact answer, do not use a decimal. [x = 8 cos(t) y = 2 sin(t) at the point where

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A: We know that the integral of x^n dx = x^(n+1)/(n+1)

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Q: The integral [7 sin 7 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution…

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Q: Find the maximum rate of change of the function f(x, y) = DNE 2y² x at the point (2,4)

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Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

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A: Given: Vertices of a triangle are (-1,1,2),(-2,0,1),(0,-2,-1) We are required to: Find the area of…

Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

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A: ∫0√2∫x4-x2x2+y2dydx

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Q: Find an explicit solution of the given initial-value problem. dy_y2. = y(7) = 7 y = dx حمد

A: Given: dydx=y2-1x2-1,y(7)=7 We are required to find: The value of y.

Q: Using the definition of the derivat to find the derivative of the following function. f(x) = x² ;…

A: a) f(x)=x2 b) f(x)=1/2 c) f(x)=sqrt(x) Find the derivative by definition.  According to bartleby…

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Q: Find following limits if they exist. Enter DNE if the limit does not exist. 10 10 40 1. lim g(x)…

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.…

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Q: The equation for the price of a television, based on the demand, is P(x)=175-0.4e0.001x What should…

A: The equation for the price of television based on demand is P(x) = 175 -0.4e0.001x. Our task is to…

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Q: Given the set of parametric equations of a curve C defined by [0,5). x = ln(cost), y = sint, te 1.…

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Q: Let f(x)=2x² - 6x² - 48x + 6. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

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Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

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Q: 5. Use the Limits at Infinity Theorem and limit laws to evaluate lim f(z) where 818 16-² f(x)=…

A: fx=16-x26x2-5x+4

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

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Q: Find the indefinite integral sin(√) da by using the substitution u = √ and then using integration by…

A: Use the u-subsituation method

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A: Chain Rule of differentiation: If y= f(u) and u=g(x) , then y=f(g(x)) , so then                 dydx…

Q: please provide types solution step by step

A: The average value of a function f (x,y) over a rectangle R is given by  Average = 1AR∫R∫fx,ydA Where…

Q: 4) Suppose the velocity of an object is v(t) = 9t-t³, where v(t) is measured in feet per minute.…

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Q: The power series representation of 1 3x + 2 is: f(x) =

A: we need to find the power series representation of the function f(x)=13x+2

Q: Use the chain rule to find dw dt = dw dt w = In (√x² + y² + z²), x = 8 sin(t), y = 7 cos(t), z = 2…

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