Differentiate y = √x + √z 01 O 2√x+1 A+ 2√x + 2√x O 2√x + √x

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: The graph of a function is given. Determine the average rate of change of the function between the…

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Q: A construction worker is pouring concrete stairs. The first step requires 1.8 cubic feet of…

A: Concept: Arithmetic sequence: The series where the common difference between any two next words…

Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

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Q: dx (a²+x²)z 1. S- 3

A: We can a valve the given integral by using the substitution x= a tanθ.

Q: Find the radius of curvature of a parabola y² - 4x = 0 at the point (4,4). 2

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Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: Type the left side of the equation of the ellipse. Which graph shown below is the graph of the…

A: Topic:- geometry

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: K Write an equation for the ellipse. Type the left side of the equation in the box below. Q

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Q: The graph of a function f is given. Use the graph to estimate the following. y W 2 3 (a) All the…

A: We have to find the local minima, maxima and monotone intervals.

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

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Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

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Q: Find the area enclosed by the given curves. 24) y = 1/2 x², y = , y = -x² + 6

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Q: In marketing, the _____ represents the point where products neither make a profit nor incur a loss.…

A: Given question In marketing, the _____ represents the point where products neither make a profit nor…

Q: To find the inverse of a function, simply switch the x and the y and solve for the new "y" value.…

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Q: Write an equation for the hyperbola shown in the graph View an example The equation for the…

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Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: This exercise uses the radioactive decay model. The burial cloth of an Egyptian mummy is estimated…

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

A: The given function is f(x)=5sinx+sin2x, [0,2π]

Q: breakeven

A: A point (x,f(x)) is said to be break-even point if revenue is equals to cost.

Q: and

A: We have to find the domain and range of the given function according to the given information

Q: plane. Use polar coordinates to find the volume of the solid below the paraboloid z = 18 - 2x² - 2y²…

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Q: Find an equation for the hyperbola described. Graph the equation Foci at (4,9) and (8,9); vertex at…

A: Given:        Foci  at 4,9 and 8,9        Vertex at 7,9   The vertices and focus are horizontally…

Q: Use the Root Test to determine if the series converges or diverges. k k + 1 (K+1)* 4k Σ k=1 Select…

A: The objective of the question is check the converges or divergence of series and choose the correct…

Q: Which of the following equations represents the nth term of the arithmetic sequence? 17, 24, 31, 38,…

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Q: Find equations of all tangents to the curve f(x) = 4/x that have slope -1. Options attatched

A: f(x) = 4/x                    Slope of tangent = -1

Q: The y-coordinate of the vertex of a parabola that opens up is called the _____. minimum value…

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Q: Find the area of the shaded region. 21) 2- y = 2 2 sin(my

A: Since we are given with the multiple number of question and answered according to the guideline

Q: The region in the first quadrant bounded above by the line y = 6, below by the curve y = √6x, and on…

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Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

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Q: What is the correct equation for the following scenario? Alex wants to figure out how much money…

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Q: g. Let g(x) = log(1 + 2x²). Tick all of the following statements that are true. 00 is in the range…

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Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁) = 0.17, P(E₂) = 0.05, and…

A: We have to find the value of P(E4), the odds in favor of and the odds against E4 occurring.

Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: a. d. 1 =x+2 y = 1 --x+2 y = -x + 2 * 1/2x-2

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Q: Evaluate the following limit: √x-2 lim- x+4 T²-16 01 32 Oº O O undefined 032

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Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

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Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

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Q: Using the differential length dl, find the length of the curve. r = 1,0 = 30°, 0° ≤ Ø ≤60° O O 1.530…

A: Given Problem:- using the differential length dl, find the length of the curve  r=1,θ=30°,0°≤ϕ≤60°

Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

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Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

Q: What is the domain of the rational function(x)=-3x²-16x +48 Oxe 31x*-4,-2.3.4) Oxe 31x*-4, 3, 4) O…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The objective is to solve the above question.

Q: b

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Q: Use a graphing utility to graph the curve defined by the parametric equations x(t)=3t sint, y(t) =…

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Q: A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7…

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