Put the equation y = x² + 12x + 35 into the form y = (x - h)² + k: Answer: y = Question Help: Video Submit Question

Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: 3. a) For what values of p is the integral cl sin b) In th x(In x)P da convergent?

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find all solutions of the equation in the interval [0, 21). √3 csc0-2=0 Write your answer in radians…

A: Topic = Trigonometry

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A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

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Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Applications of Planes in Space Find the acute angle (in degrees) between the planes - 2x - 4y + 2z…

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Q: Calculate the partial derivatives of a function of two variables. Given f(z, y) = 10 + 4y + 7zy,…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find an equation of the tangent line to the curve at the following point: y = (1-3x)¹0, (0, 1)

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Q: Which one of the following could be the graph of the polar function r = 1 + 2 sin ? 1. 013 2. P…

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Q: Icc cos(x) + sin(x) dx

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Q: Determine the derivative of ln(csc) CSC I POMOSOME CSC I O - cot a Ocot z

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: r(t) = (12t, 7+3 cost,4+3 sint)

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Q: Question 21 Determine the derivative of the following curve: x² + y² = 5 Oy = -√2 Ov=√ Od = -√√…

A: Explanation of the answer is as follows

Q: C C 7. Find the critical values for f(x) = x² + 4x²³² + 4x² 2. On what interval(s) is the graph…

A: Concept: A function's derivative can be used to determine whether it is dropping or rising on all…

Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

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Q: v-1 ● ● dv 32 = —— dt V l Solve the Linear Differential Equation (First Order) in a standard form.…

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

A: let x = horizontal distance from bow of the boat to dock  let y = height of dock  = 1 m = costant…

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A: We have to solve given Questions.

Q: If the point P is on the graph of a function f, find the corresponding point on the graph of the…

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Q: 4. f(x)=2", a = 0

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Q: Solve the initial value problem y" + 4y + 4y = 32e²; y(0)=-1, y'(0) = 14. +Set →→ (Answer: Y =…

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Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: 1. 2. y"" +3y" +4y +12y = 8cos2x - 16sin2x y" - y'= -2(1+x) +4e* -6e-* +96e³x

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: are

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Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

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Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: dr Solver +rsece = cose Select one: O a r= O b. r= O c r Od r O e r= 20 - cose + c seco - tane 0 +…

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Q: Are 2 -baz

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Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: So So Va² +8 dx dy x=√y

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Q: Write the equation: Vertical asymptote at x = −1, double zero at x = 2, y-intercept at (0, 2)

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Q: Find the interval(s) on which ƒ(x) = |x² − 5x + 15 is differentiable. Enter your answer using…

A: The given function fx=x2-5x+15 We have to find the interval on which fx is differentiable.

Q: What else do you observe? Concept Check: Evaluate the following integrals: e3x dx 1-2e3x 2.5 1²…

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Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

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Q: Find Vectors and Perform Vector Operations in R³ Find a vector with initial point ( – 2, 5, 0) and…

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Q: Let f(x) = √28 - 4x and g(x) = 4x² — 2. • You must combine all like terms before yo your answer. •…

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Q: Evaluate a multi-variable function Let f(x, y) = √√150 - 2x² – 4y², and evaluate f(1, 0). Please…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: See this solution in below.

Q: Find the derivative of the function: O y = a + (In²a + ln x + 1) O y = 2+1 ¹+¹(x ln² x + ln x + 1)…

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Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: Find the distance from the point (-2, 8, 9) to the line ā(t) = ( − 1, 3, 2)t + (− 2, 3, 9).

A: To find the distance from the point -2, -8, 9 to the line a→t=-1, 3, 2t+-2, 3, 9.

Q: Find the tangent plane to the equation z = - 2x² + y² + 4y at the point (4, 4, 0). 2=

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Q: Evaluate the double integral. J log (6) 4y 5x5 +1 D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²} dA, D=

A: NOTE: Refresh your page if you can't see any equations. . limit of x and y are