integrate using MISCELLANEOUS SUBSTITUTION H 3x+2 1+√√3x +2 1

Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: Consider the following graph of the second derivative, f" (x), for some function f(x): f"(x) -6 fr…

A: Given:  The graph of f''x is given.  To Find:  To determine the true statements about the function…

Q: (a) Use the definition given below with right endpoints to express the area under the curve y = x³…

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Q: (b) (c) Ο Ο Ο Ο 0 Ο Ο Ο Ο 8+6=2 8 2 = 6 2+6=8 8 6 = 2 ( 6 + 2 = 8 L 8 1 8+6=2 +1 8 0 1 2 3 4 5 6 7 8…

A: To solve the following problem

Q: Find the parabola of the form y = ax² + b which best fits the points (-1,0), (2, 2), (4,4) by…

A: Given sum is S=(a+b)2+(4a+b-2)2+(16a+b-4)2

Q: dw Use the Chain Rule to find &#: w = xysinz; Dx = xet, yet, zzaresin 2

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Q: lim Find the limit. Show all work algebraically. *→-5x² +4

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Q: An unbounded solid sits above the x-axis, for 1 ≤ x ≤ ∞, being in cross-section a disc of radius e*…

A: We have to find the volume of unbounded disc.

Q: Find the limit. lim (csc (2x) - cot (2x) + cos (4x)) = (Type an exact answer.) X→0*

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Q: In the Google sheet, o Create a vector 'r' of values of the radius of a cone with values starting at…

A: Sl no Radius (r) Height (h) Volume (V) 1 8.9 6.4 530.6013867 2 8.6 6.4 495.4333867 3 8.3 6.4…

Q: 10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal…

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Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

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Q: 5. Given the graph of f(x) shown below, explain why the instantaneous rate of change of the function…

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Q: pls answer this 100% perfectly thankss   Differentiate the following function and factor fully.…

A: Given: g(x) = 2x-142-3x4 To find: Differentiation of g(x)   Rules of differentiation  1) ddxfg…

Q: For the curve r(t), write the acceleration in the form a+T+aNN. r(t) = (6t sin t+ 6 cos t)i + (6t…

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Q: What region R in the xy-plane maximizes the value of R (16-3x² - 2y²) dA? R is the set of points…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Show that the following vector fields F are conservatives and find ALL f such that F = Vf. (a) (b)…

A: As per guidelines, we can solve only first question if multiple questions are posted, please repost…

Q: What is the root of the following function f(x)= log(2x+5). Report answer up to two Selected Answer:…

A: Given: f(x)=log(2x+5)

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: 4. How much work is required to fill a spherical tank with a radius of 1m with water (1000 kg/m³)…

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Q: 4. Find the solution to the initial value problem y'= 5(2-y), y(0)=5. Report solutions in y equals…

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Q: Please show the work for each wuestion

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

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Q: Find the Inverse Laplace transform for the followi 2-5s (s-6) (s² +11) a) F(s) = =

A: Note:- Since you asked multiple equations ,according to our policy we can solve only first question…

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Find the linearization of f(x) = (x³ + 1)¹/² at x = 2 and use this to estimate f(2.05).

A: Please see the below picture for detailed solution.

Q: Differentiate the function f. f(x)=-3x - 5 F'(x) = Graph y = f(x) and y = f'(x) on the same set of…

A: Given : differentiate

Q: 3. Write a polynomial of lowest degree with zeros of 5 (multiplicity 2) and -3 (multiplicity 2) and…

A: To write a polynomial of lowest degree with zeros of 5 (multiplicity 2)  and -3 (multiplicity 2) and…

Q: Let f(x)=12x^2−7x−11 How many critical points does this function have?   How many inflection…

A: Given query is to find critical point and inflection points.

Q: 10. Find the indefinite integral J dx (3+5)2 dx

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x ~newtons…

A: Given: f(x)=(3x2+4x) Newtons from x=4 meter to x=8 meter

Q: 1. An open box (no lid) with a square base has a volume of 4 cubic feet. What dimensions will…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2.) Find the volume of the solid whose base is bounded by the circle whose center is the origin,…

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Given: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…

Q: Let 6 sin x + 3 cos y = 4. dy dx d²y dx² -0

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Q: 136,68,34,17         what is the seventh term?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Please help me with every question :)

A: Here we have to choose the correct option.

Q: Mr. Brust is running down his street. His position is given by the function p(t), where t is…

A: Mr. Brust is running down his street. His position is given by the function pt,  where t is measured…

Q: Let f(x, y) = 3x²y + xe³ _ . _X (a) Find the partial derivatives fx and fy. (b) Compute the…

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Q: If 3x2 + yx = 9, what is -? dx dx dx = = = 11 -6x-y² 2.xy -6x+y² 2x -6x-y2 2x² 6x-y2 2y 59

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Q: lim X-70 3√√x+1-1 X

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Q: If f(x) = ax³ + bx² + cx+d, where a, b, c, and d are constants, find f"(x). 6ax+ 2b 6x + 2 a+b+c+d…

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Q: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1

A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1).       Here i…

Q: Among all the points on the graph of z=7-x² - y² that lie above the plane x + 5y + 7z=0, find the…

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Q: Find the volume of the solid bounded by the paraboloids z = −7 + x² + y² and z = 4 − 2x² – 2y² 1300

A: The given paraboloids are: z=-7+x2+y2     and    z=4-2x2-2y2

Q: 2. Locate the absolute extrema of the function g(x) = x² - 8x + 12 on the closed interval [0, 5].…

A: g(x)=x2-8x+12d dx(xn)=nxn-1d dx(constant)=0

Q: The function f has a continuous second derivative, and it satisfies f(1) = -4, f'(1) = 0 and f"(1) =…

A: The solution is shown below-

Q: On which interval f(x) = -2³ + 3x² - 4 is concave upward? O a. (-1,1) O b. 1 Od. >1

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Q: 1. Let f: R→ R such that f(x) = -x ifa is rational and f(x) = 2x+3 if x is irrational. Prove that f…

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