Find the local maxima and minima for the function. Find the intervals on which it is increasing and the intervals on which it is decreasing. y=√√x+1,4≤x≤ 10

Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: ht plane to th t the point where (x, y) = (2, 2) has the equation z = ƒ (x, y) = ln (4x4 y+1) OSP

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Q: Relative to the basic function f(x): shifted 3 in which direction? O a) left Ob) down Oc) up O d)…

A: We can answer the question as below.

Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: 7. The cost function for a particular product is given by C(x)=0.001x^3 −0.18x^2 +12x +200 dollars,…

A: Solution: C(x)=0.001x3 −0.18x2 +12x +200

Q: Solve for the DE of: y = C₁+C₂e7x O y'-+7y=0 Oy" - 7y¹ = 0 Oy'-7y=0 Oy" + 7y¹ = 0

A: The given equation is;  y=C1+C2e7x.

Q: Find the exact sum of the following series In 32 3 5 ¤ In ( ² ) - — / 2 12 In 3 (²/²) - 1²/ 2 ○ In…

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Q: Question 2 a. I b. | function f(x, y) = y² − x² + — a 1 Find the critical points of the function…

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Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

Q: Find the centroid of the region bounded by y=x+3 and y=x²-3. O (1.098,1.68) O (0,1.68) O (1.68,…

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Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light —which…

A: We need to find thickness.

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: -4 -2 30- 20- 10- 0 2 4

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Q: 13 Given Sine= - 12/23 and Cos0>0. Find the remaining trig. values of 0. From Sec 5.3

A: sinθ = -1/5 cosθ>0 here the quadrant given is 4th  because in 4th cosθ>0 and sinθ<0 now…

Q: Let y = (2x + 3 sin(x))4. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: 1. S x² (x+1)4 - dx

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Q: Question (x,y) = (0,0) Let f(x,y)=√+² (x,y)=(0,0) The function is continuous at the point (0, 0) if…

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Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

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Q: Its saying the solution is wrong

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Q: find the derivative using implicit differentation

A: Apply derivative on both sides

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9 x+5. x= Ilm…

A: Let's solve limit.

Q: Divide. If the divisor contains 2 or more terms, use long division. 21x²-37x+12 7x-3 Divide. 5 9 4x…

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Q: Convert the point (x,y,z)=(5,-3,-5) to spherical coordinates. Give answers as positive values,…

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Q: b) […. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x²…

A: Given :y=-x2+9y=x2+1

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: The series Σ 6( − 1)*0.2-1.9/k○ diverges converges. k=0

A: We use ratio test to find the desired result.

Q: Evaluate f x²-x-5 x(x²-x-2) dx

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Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: 1) For each of the following tests, give an example and explanation of a specific series formula…

A: We have to explain the series and give an example.

Q: 8.) A triangle has a base of 12ft long and an altitude of 8ft high. Find the area of the largest…

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Q: Consider the region B under the graph of y = 3x² + 1, x [1,3], and above the x-axis. Find the area A…

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Q: If the average value of the function f(x) on [0, equal to what is Select one: O 24 O 9 O 6 02 3 1…

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Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: The limit is equal to 1312 Select one: O True O False lim n→∞ 3n 2n³ + 1

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Q: 16 6xy ds, where C is the right half of the circle x² + y² = 4. Evaluate the line integral

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Q: x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

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Q: (b) : Verify that the Intermediate Value Theorem applies to the indicated interval and find the…

A: Given , f(x)= x²-x in the interval [1,5]

Q: dy dx 2xy + 6x + (x²-4)-

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

Q: Identify the function represented by this graph. -5 -4 -3 -2 -1 5 4 3 2 -3 ✔ 1 2 3 4 5 x

A: Topic = Functions

Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: Using the function g ( x ) = 2x³ - 6x , determine the intervals where the - function is increasing…

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Q: Megan leased a car for 5 years at a rate of 4.80% compounded monthly. It required her to make…

A: Total amount paid after 5 years or 60 months = 665 x 60 = $ 39900 Remaining amount that she can pay…

Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1) and R (1, -1, 1). Find the perpendicular…

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Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

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Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 parabola ellipse…

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Q: ich of the following is a power series representation of f(x) = f(x) = Σ(-1)" – n=0 x2n+1 f(x) =…

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