evaluate sim XT/2 cos X TI/2-X

Q: Find the exact volume of the solid whose region is bounded by y=- y = 2. IME Volume= D -x² +6 and x…

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Q: A function that reflects the rate of increase and change of the price of an apartment for rent with…

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Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: y = 4√2 3 3 -x2 from x = 0 to x = 1.

A: We know that the exact length formulaint_a^b (1+(dy/dx)^2) dx

Q: The graph below is of a function g(x) with domain (-∞, ∞). It consists of two lines and a…

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Q: Let g be a continuous function on the interval [-1, 1], and differentiable on (−1, 1). If g(−1) = −2…

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Q: et f(r) be the function 107² +9r+ 5. low the steps below to use the formal definition of the…

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Q: sin sin(x²) evx (1/2-x)uis

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Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v = (-4,-3), w =…

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Q: (2) Find the function g(x) where g'(x) = 4 sin x + 7x X

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Q: (10) FIND THE AREA UNDER THE CURVE GIVEN BY ABOVE THE X AXIS. DRAN A CRAPH WITH AN APPROXIMATING…

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Q: For the following demand function, find a. E, and b. the values of q (if any) at which total revenue…

A: Given: q=40,100-6p2We have to find E nad q

Q: Find an equation of the tangent line to the graph of f(x)=& x at the point (3, 3)

A: We have to find the equation of the tangent line to the graph of  at the point

Q: The biomass B(t) of a fish population is the total mass of the members of the population at time t.…

A: The function for biomass of fish population can be expressed as;B(t) = N(t) * M(t) Differentiate the…

Q: (5) Find absolute maximum and absolute minimum of f(x)=x²-3x² + 1 with the domain of [-2, 4]

A: given (5)

Q: Evaluate f(x + y)ds where C is the straight-line segment x =t, y = (3-t), z = 0 from (0,3,0) to…

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Q: 2. Consider the function f(x) = 2x³ – 3x² – 12x. (a) Find the intervals on which f is increasing /…

A: NOTE: Refresh your page if you can't see any equations..Take derivativeTo find the critical points,…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Given that building fences To find the area of the region, firstly find the intersection pointthen

Q: Find the point where the tangent line to y = x² at x = 0.8 crosses the x-axis. x-intercept

A: To find the point where the tangent line to  at  crosses the -axis.

Q: Which of the following is the direction angle of v = (-3,- ? Round your answer to the nearest…

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

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Q: * Incorrect. The figure below shows contours of g (x, y) on the region R, with 5 ≤ x ≤ 11 and 4 ≤ y…

A: The solution is shown in step-2

Q: Find the length of the curve. r(t) = √√2ti + e¹j+ek, 0≤t≤5

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Q: Calculate the partial derivative using implicit differentiation of δω dy (Use symbolic notation and…

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Q: use Implicit Differentiation to find at the given point on the curve. √√x+√√y=3 at the point (1, 4).

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Q: lim INT(2x + 4) = x →1.5

A: We have to find the limit

Q: Find the exact volume of revolution for the following equations: a. Between y = x - x² and y Answer:…

A: To find the exact volume of revolution for the following equations.(a) Between  and  about the…

Q: Evaluate the surface integral. J xyz dS, S is the cone with parametric equations x = u cos(v), y = u…

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Q: Find a formula for y' and determine the slope y'Ix-3 for the following function. -8ex -7ex +4 y =

A: To find a formula for and to determine the slope  for the following function.

Q: (3) Find y' and then evaluate it for (-2,3) 3x³ + y² = -xy

A: To find: -y' at point (-2,3)

Q: Calculate the curvature of r (t) = 〈t,t^2,t^3 〉 at the point (1,1,1)

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = sin x over the…

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Q: Integrate f over the given curve. 3 X y 2 f(x,y)= C:y=- 2 , 0≤x≤8 [f(x,y)ds = с (Type an exact…

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Q: How can the graph of f(x) = − (x −12)² + 5 be obtained from the graph of y=x²? A. Shift it…

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Q: EAMPLE 2 Find the solution of the differential equation y' = = (y² − 1) that satisfies the initial…

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Q: = (7y² - 3x²)i + (3x² + 7y²) j and curve C: the Use Green's Theorem to find the counterclockwise…

A: C: The triangle bounded by , and .

Q: b) F (x) = ln √x (x² + 1)³ \ (x³ + 2)5

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Q: Two spacecraft are following paths in space given by r₁ = (sin(t), t, 12) and r₂ = (cos(t), 1-1,…

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Q: Find the mass of a wire that lies along the curve r(t) = (t² −9) j+2tk, 0≤t≤ 3, if the density is 8…

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Q: "INT" function (alternative name is "Floor" function) returns integer value closest to the Input…

A: INT function or floor function of x is the greatest integer less than or equal to x.

Q: Consider the Reimann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where Xo = 0, x₁…

A: The given function  over the interval .We have to calculate the Riemann sum using the endpoints and…

Q: Find the work done by F over the curve in the direction of increasing t. F = xyi + 3yj -yzk 2 r(t) =…

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Q: determine where I is increasing / decreasing -max/min -Concalle up/down -inflection Parts -Whetch…

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Q: Find the volume generated by rotating the region bounded by y-22-2²and the x axis, about the y axis.…

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Q: Qno2 C. D. E. X √√√36 S= 36x² 1 √49x² [x√16 - 4x² dx xz dx dx

A: Answering as per request.rule: question

Q: Explain what means to say that lim_f(x) = 2 and lim f(x) = 9. x 17 x+1+ O As x approaches 1, f(x)…

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Q: (1) Find the antiderivative of f(x). Initial condition is f(0) =3. Let f'(x) = 4x³ + x² – 3x (2)…

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Q: dx [tan²(3xx)]

A: The given function is,"As per the company policy we are supposed to answer the first question and…

Q: The function f is given by its graph on the interval [-5, 8]. Q1.1 S f(x) dx = = Q1.2 4 -3 -2 -1…

A: The graph:

Q: 7e7 (e7z+3)6 This can be transformed into a basic integral by letting Consider the indefinite…

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