Consider the function in the graph to the right. The function has a Select an answer of at x = The function is increasing on the interval(s): The function is decreasing on the interval(s): The domain of the function is: The range of the function is: 37634 4 * 2 6 $ + + 2 + 4 t 4 2 ON (63,023)

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: A ball is thrown into the air and it's position is given h(t)=-4.9t + 60t + 5cm. Find the hight at…

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Q: F(x, y, z) = -k At (-2,-2, -2) the vector is At (-2,-2, 2) the vector is At (-2, 2, -2) the vector…

A: Given vector field F(x,y,z)=-k Here k is constant

Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: 3 y = (x² +1) ² Find day dx ²

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Q: he base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x². Cross…

A: To find the volume.

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

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Q: y = (2x₁³ - 6) 9 3 Find day 3 dx²

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Q: 4x + 12 lim 2 x 3 x²9

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Q: CHAPTER 6-General Health and Population Indicators The next three questions relate to the following…

A: 1) Infant Mortality Rate   2) Maternal Mortality Rate 3) Crude Mortality Rate   due to Cancer 4)…

Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given |u. (vx w)| to determine the…

A: This is a vector problem

Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the wine…

A: Given that , Room Temperature T0=32°F

Q: Complete the statement. If a function f has an inverse and f(x) = -1, then f (-1)=_ If a function f…

A: The function f has an inverse function and fπ=-1

Q: Use the trapezoidal rule with four subintervals to estimate the following integral: 50.8 x³ dx

A: The given integral ∫00.8x3dx

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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Q: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: Use implicit differentiation in finding y' . x²y+xy² =6

A:

Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.

Q: Write the given differential equation in the form L(y)- 90x), where L is a linear 4y"-15y4ys…

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: -y(2x+y) x(x+2y) - y'=-

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Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the Laplace Transform of f(t) = sin2tcost A B 2 54 +55² +4 2 Ⓒ 4 E s² +3 s+10s² +9. ( 5++55²+4)…

A: Given problem:- Find the Laplace Transform of f(t) = sin2tcost

Q: The graph below is the function f(x) t lim →-3 lim I-3+ lim 5+ 4 → 3 N WA -3 -2 -1 -1 3 2 Find the…

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Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: 2 termis U

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Q: down oes... not a precise m However, with ann an algebra c concave do rate of chang creasing y…

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Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

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Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Find the present value of a continuous income stream F(t)=30+5t, where t is in years and F is in…

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Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

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Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: 106) Iff"(x) and (c,f(c)) is the point lying on the curve for which F(c) is maximum, then f'(c) is…

A: If f''x<0 ∀ x∈a,b and c is a point such that a<c<b, and c,fc is the point lying on the…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. 1 I NOTE: Enter the exact…

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Q: 1. Simplify fully. Write each expression with positive exponents only: 6a -b √√-270x (2a 5-32 √9(x)⁰…

A: Follow the procedure given below.

Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: b) Let f(x) = ¹. Find f'(x), ƒ"(x), ƒ"(x) and ƒ(4) (x). Deduce f(n)(x).

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Q: Find the inverse function (on the given interval, if specified) and graph both f and f graphs.…

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Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. (cot…

A: Solve the following

Q: 4 3 1 -1 & Find lim The graph of the function f(x) = tanx is given above for the interval z = [0,…

A: Topic = Functions

Q: derivatives-and-the-shape-of-a-graph and the Shape of a Graph -5-4-3 202. f'(x) For the following…

A: The given graph is of f'.        If    f'> 0 at a point , then  f is increasing.       If  f'…