Find an antiderivative of the function h(y) = 3y² — y6. An antiderivative is

Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: The answer is wrong

A: The given curves equation is

Q: Find the indefinite integral. fett 7t dt = +C

A: I=∫e7tdt

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A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = tan -1…

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Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: (– ²/6) has exactly one point of inflection with a positive x-coordinate. What is the x-coordinate…

A: The given function is .The aim is to find the point of inflection.Definition:If  is an inflection…

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Q: For the function f(x)=x^3 - 3x^2 - 9x A. Find the critical points of f(x) B. Where is the function…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Find y'. y = y'' = 16 tan (4x + 1)

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Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

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Q: lim n→ ∞o 3n+1 - 80-1 gn+2

A: The given limit .The aim is to find the given limit.

Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: Find the unit tangent vector T(t) at point P. r(t) = t²i + tj + 20 k, T(5)= X P(25, 5, 20/3) Find a…

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Q: Find the general solution for the following linear homogeneous recurrence relations: (a) an = 2an-1…

A: The objective of the question is to find the general solution for the given linear homogeneous…

Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: 3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

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Q: Find for y=cos ²(9xt-8). dy dt dy dt

A: )   Is givenWe want to find the derivative

Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x+4)² +8(y - 3)² = 32 Find…

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Q: Determine the value of the definite integral that describes the shaded region above. 1. 9dw

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Q: 5. The compound amount, 4, accrued with quarterly compounding ^=P(1+4)". where P is the principal, r…

A: To find the time it takes for the money to double with quarterly compounding, you can use the…

Q: 3x dx 1+e³x

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Q: Express the given repeated decimal as a ratio of two integers. 0.760760760760...

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Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is;2sinxcosx + sqrt(3)sinx=0

Q: 9. Linda's Bakery sells three kinds of cookies: chocolate chip cookies at 15 cents each, oatmeal…

A: We use the concept of linear equations to solve the given problem.

Q: Evaluate the given definite integral. HAL 5 - dy Y

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Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

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Q: Evaluate the following definite integral. π JU OA. (( sin 8t)i + (cos 8t)j + (10t)k) dt Select the…

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Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

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Q: If you know that Q(x) is a quadratic function and that Q(5) = 10, Q(8) = 11 and Q(1) = 9 then: 1…

A: If you know that  is a quadratic function and that , then to evaluate the following integral.

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(cos x + x)dx…

A: The given integral .The aim is to find the solution to the integral and sketch its graph.

Q: Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the…

A: f(x)=  , x=27

Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

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Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that f is a continuous function on the interval  and To find:-(f is even) (f is odd)

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: The objective of this question is to find the relative extrema of the function f(x) = sqrt(25 - x^2)…

Q: Find the domain of f(x). f(x)=√x² + 9x - 8

A: Here we will find the domain of the given function on solving the quantity under root putting…

Q: Given an acceleration vector, initial velocity (uo.Vo), and initial position (Xo Yo). find the…

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Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Please answer the following: Thanks Given 6xy= 2 + y² , a) Find the coordinates of a point…

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Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: Find the domain of f(x). f(x) = Interval 3x - 5 x² + 2x - 35 Answer Attempt 1 out of 2 2 Answer…

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Q: Let g(t) = - 503 t Determine the most general indefinite integral of g. - 5 + dt

A: Given,