Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over the interval

Q: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: The position (ft) of object moving straight line given by 3² = f(t) = + ² + 5+ + 3 where + is in…

A: I am attaching image so that you understand each and every step.

Q: QUESTION: 2. Sketch the graph and solve for the volume of the solid generated by revolving along the…

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Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: (5) Σ.1 η=1 η! 102n-1

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Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not simple.…

A: According to Bartleby guidelines I can only answer the first three questions of the given problem.…

Q: The height y (in feet) of a ball thrown by a child is 1 y = -x² + 4x + 3 14 where is the horizontal…

A: Solution is here

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

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Q: (2) Evaluate the iterated integral by converting to polar coordinates. 1 √x-x² (x² + y²) dx dy [] 0…

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Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: (A) (в Identify the form of the partial fraction decomposition of the rational function -3² +10…

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Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: . What is the snortest distance between the parabola y=2x² and the line y=4x-4

A: Shortest distance between two curves are always along the common normal.

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

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Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: 1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

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Q: Solve the following first order differential equations, clearly showing all calculation steps dy…

A: Given that differential equations and we find the solution of this differential equations by using…

Q: Obtain a + ib form of the ff: -i77 a. z = −6+9e

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

Q: y = e²x and x - 2y + 5 = 0

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Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: Sketch the region enclosed by y = 3x and y = 52. Find the area of the region.

A: Given that y=3x and y=5x2 find bounded area.     Here i attached the solution of this question.

Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: farm bureau Determine the open intervals on which the function is increasing, decreasing, or…

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: Use Lagrange multipliers to find the dimensions of the right circular cylinder with maximum volume…

A: Given that  a right circular cylinder with surface area = 24π square unit.   As volume is to be…

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: ● -5 13 10 5 Enable Zoom/Pan x -10 10 5 Keyboard cting a radio button will replace the entered…

A: We will solve the limit.

Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

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Q: Question The following table gives the approximate increase in dollars in the average price of a…

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Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y²

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Q: 12 Given that f(x) = 2x 3 + x - 3, evaluate the function f(-2). 11 -69 -21

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Q: Determine whether the improper integral is convergent or divergent. 33) S ∞ dx x2/5 0 A) Convergent…

A: We know that integration of xn   is xn+1/n+1.   Here i attached the solution of this question.