Find the area of the region cut from the third quadrant by the cardioid r= 1 + sin 0. The area is (Type an exact answer, using as needed.)

Q: Find the value of b such that the function f is continuous everywhere. ƒ(x) = b |5-x| x² - 7x + 10…

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Q: plane πT: 3x-Sy+ z = 0 х-бута straight line r: { 2x+y-z= 23x+2y+z = 1 Find the correct statement? a)…

A: First we find direction vector of both line and normal to plane and then compare them.

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Determine the projection of it outo ~ and calculate its magnitude. u = [3,6₁ -2] = [4,3, 8]

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

Q: If a point travels on a compact disc 650 cm in 1 minute, what is the linear velocity of the point in…

A: Velocity= distance/time

Q: Find an equation of the tangent line to the curve at the given point. y = (x - 1)/(x - 2), (3, 2)

A: Equation of line passing through and whose slope is m is given as

Q: (t², 4t - 2,5 - t²2), find the tangential and normal components of acceleration aT and aN, at the…

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Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Select the basic integration formula you can use to find the indefinite integral. Do not integrate.…

A: let

Q: Find the consumer surplus for the given demand function and sales level. (Round your answer to two…

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Q: Let f be a function defined by the graph below. Answer each of the following questions by selecting…

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Q: (g) List all of the horizontal and vertical asymptotes of k(z). Horizontal asymptotoe(s): k(x) =…

A: Given;

Q: 15. Find a vector equation and parametric equations for ... (a) the line through the points (-2, 0,…

A: a) b)

Q: Definition The derivative of a function ƒ at a number a, denoted by f'(a), is if this limit exists.…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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

Q: An object with an initial velocity of v(0) = 3 has an acceleration of a(t) = 5 + 6t. What is its…

A: Relationship between velocity and acceleration

Q: 8 Use the Pythagorean Theorem to find the third side of the right triangle above. Then find the…

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Q: Draw the projection of the curve onto the given plane. r(t) = (t³, t5, t-5), yz-plane

A: Sketch the projection of the curve in yz-plane

Q: Let xy4 = 7x + y¹4 – 25. Compute dy at (4,1). dx

A: The given expression is,

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Q: Let's denote the column space of A by C(A). Given that A is a 30 x 16 matrix and dimension of the…

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Q: which part is the answer to part a. i can tell which one is the one for the general solution but not…

A: To find which one is the solution for part a

Q: A rectangular box is to have a volume of 7200 cm³. The length of the box is three times the width.…

A: "Note that the provided solution is correct, here i am making the figure and explaining the second…

Q: Consider the following. P(x) = x³ − 9x² + 27x − 27 Use the remainder theorem to determine which is a…

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Q: Assume the given point is on the terminal side of an angle in standard position. Determine the exact…

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Q: For f(x) = 2 sin (x²) between x = 0 and x = 3, find the coordinates of all intercepts, critical…

A: The function is The domain given is

Q: 6 a. Prove that if z = (ax + by)², then x b.Let z = +yzy =In(x² + y²). Show that 322 + 3 = 0 əx2 Əy…

A: (a) Given that           z = (ax+by)2 Then we have to prove that xzx'+yzy'=2z .

Q: To convert an angle in radian measure to degree measure, multiply by a factor of 180 O True False

A: Given,

Q: 2. Use implicit differentiation to find y' for the curve. cos x sin y = 1/4

A: Givencosx.siny = 1/4

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Find the point on the plane 4x + 5y + 6z - 12 = 0 closest to the point (-4,4,3). The point is ().…

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Q: Consider the following. optimize f(x, y) = 3x² + 2y² - 25.1x - 11.7y + 73.4 (subject to g(x, y) = 2x…

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Q: The expression sececotesine simplifies to 1. A True False

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Q: Use this definition to compute the derivative of the function at the given value. f(x) = 6x² − x, x…

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Q: 1. The equation r²y³ +2ln(yz) + ye" - 1 determines a surface. Note that you cannot easily write z as…

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Q: α Σ n=1 1 2n + 1

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Q: Consider the parametric x=²2²-4, equations below. y=t+2, -3 st≤ 3

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Q: (a) Consider the function f(x) = (7x - 5)(4x + 7). Enter the number of critical points/numbers of…

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Q: f(0) = -tan (x-3) where - ≤0 ≤n?

A: Parent function

Q: The following statement is a cofunction identity: sin(e) = cos cos (-e) O True O False

A:

Q: Suppose f(x) = 9" log5 (x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log(a).

A: Givenf(x) = 9x log5(x)

Q: Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. y =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Let f(x) = 2x² +3. Calculate the difference quotient (2+h)-f(2) for the h values below. Then, find…

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Q: Let it, the versors of the coordinate axes the vectors =j+ak, ² =jek, 1 Which of the following is…

A: We know that the  3 vectors are coplanar, if their…

Q: Which integral would represent the area shown? 8 6 4 2- 0 Y 0.5 1 1.5 2 2.5 3 X ²2xdx 2 √² (2x − 2)…

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Q: The position of an object moving along a straight line after t seconds is modeled by the function…

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Q: K Find the area of a cone (not including the base) with base radius r and height h using a…

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Q: 3. Consider the function h(t) == (a) Write h(t) as a piecewise function. (b) Evaluate lim h(t) lim…

A: Note: As you posted multiple subparts I need to solve only first three subparts.

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

A: Given that the polynomial function is    f(x) = 3x3 - 16x2 + 27x - 14 ; x - 1 Here we have to find…

Q: The angle of elevation is an angle measured from the horizontal up. O True O False

A: Statement : The angle of elevation is an angle measured from the horizontal up.