"INT" function (alternative name is "Floor" function) returns integer value closest to the Input from below. For example, INT(-7.328)= -8, INT(3.93096) = 3. Enter a number, or DNE for "Does Not Exist. lim INT(2x + 6) = x→1.5

Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

A: Given Marginal cost function

Q: Find the integrals for the center of mass of a thin plate covering the region bounded below by the…

A: We have to dind the integrals for the center of mass of a thin plate covering the region bounded…

Q: For the pair of functions, find the indicated sum, difference, product, or quotient. 4 X-2 1 2+x…

A: f(x) = 4 /(x - 2) , g(x) = 1( 2 + x )

Q: Use the definition of the limit to find values of 6 that corresponds to & = 0.50. lim (2+x²) = 11…

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Q: y-values 9 8 7 6- 3- 2 1 If f(x) = - 1 g(x) h(x)' then g(x) 2 3 x-values f'(4) = Question Help:…

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Q: A damping force affects the vibration of a spring so that the displacement of the spring is given by…

A: A damping force affects the vibration of a spring so that the displacement of the spring is given…

Q: lim (4x - x²) X→∞

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Q: Evaluate (sin x) sec x d dx

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Q: -5 -3 -2 -1 4 3 Submit Question 2 1 -1 -2- -3 -4 1 Lev Lon 3 4 Use the graph of f(x) above to…

A: Use the graph of f(x) above to estimate the value of f'(–3) to one decimal place.

Q: Find the integrals for the center of mass of a thin plate covering the region bounded below by the…

A: We have to dind the integrals for the center of mass of a thin plate covering the region bounded…

Q: Simplify the function, then find the derivative. f(x) = ln (x√x² - 1)

A: Given:We are required to find:

Q: Find the surface area of revolution about the x-axis of y = 3x + 5 over the interval 2 ≤ x ≤ 3

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Q: 1 12+e 5. S dx X Siztex e 12e™* +1 V

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Q: an Ln n n for n ≥ 1.

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Q: 5. Use implicit differentiation to find the tangent line to the curve cos y = x at the point (√3/2,…

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Q: Find the length of the curve. r(t) = 7t, 3 cos(t), 3 sin(t),    −9 ≤ t ≤ 9

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Q: Use the given graph of f to find a number & such that if |x-1| < & then f(x)-1|< 0.2. y 8 = 1.2 1…

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Q: Suppose y = (x² +9)³. (a) Find the differential: dy dx. (b) Compute the differential when x = 4 and…

A: (a) To find the derivative of  with respect to x, we can use the chain rule.Let's denote u = x^2 +…

Q: (9) Find the equation of the tangent line to y = 2t sint at point (,)

A: Slope of tangent

Q: Find the volume of the solid that results when the region enclosed by y = x² + 2, y = 2, and x = 2…

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Q: Determine the domain of the function of two variables. g(x,y)= 3 2 4y-6x²

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Q: -T - r(t) = (√√t² — 1, log (t² − 3t + 2),-

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Q: How do I convert that anwser to an interval notation?

A: Find The Interval of Convergence of the Power Series :

Q: 2. Take the function and the following two iteration functions: e f(x)=²-c. c>0 (b) 31(2) = x==²=0…

A: As per the company guidelines, if the question has multiple subparts then we can only solve the…

Q: Find the volume of the following solids. The base of a solid is the region bounded by the graphs of…

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Q: u=2x+3y, v=x+4y to evaluate the given integral for the region R 2 2 1 1 Use the transformation…

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Q: Reduce the equation to one of the standard forms. 2²= 15x² +5y²-30 ○ 골+몽 - 0 = 1 30 0² +²=1 ○ (① -…

A: The solution is shown in step-2

Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v= -5i - 3j; w= 2i…

A: we have given vector v=-5i-3j and w=2i-4jwe need to find the angle between these vectors.

Q: please provide in good format

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Q: Verify the following identity: sin(a+B) + sin(a - B) = 2sinacosß Use the paperclip button be

A: We use the sum to product formulas to prove the given identity.

Q: Find the exact volume of revolution for the following equations: a. Between y = x - x² and y Answer:…

A: To find the exact volume of revolution for the following equations.(a) Between  and  about the…

Q: Find the volume of the solid that results when the region enclosed by x = √y+1 and x = 1+1 2…

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Q: The total cost C of ordering and storing x units is C = 5x + (330,000/x). What order size will…

A: Given the cost function .We have to find the order size that will produce a minimum cost.

Q: Find the centroid of region lying between y = x² and y = √√√ on the interval [0, 1]. = Give exact…

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

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Q: 1/x + 3y = sinx/x² 1-2ye* = 2e* √y

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the Squeeze Theorem to find lim_ f (x), given that 5 - x - 7| ≤ f (x) ≤ 5 + |x − 7|. x→7

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Q: Determine which set of vectors is not orthogonal. v = (-10,0), w = (0,5) v = (0,1), w = (0,1) O O v…

A: If two vectors are orthogonal then the dot product of the vectors is 0.

Q: 1/4 1 √1/12 √x(4x + 1)' dx

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Q: - If v = 9i – 5j and w = -3i – 4j find v.w. 89°F Partly sunny O 59 -59 07 -7 Q Search

A: If and , then to find .

Q: Find the component form and magnitude of the vector v. component form magnitude 96 50 y 31 11 (1,5)…

A: given the graph of vector

Q: The following equation has 8 solutions on the interval [0, 2]: sin²4x = 1 O True False

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Q: What is the integral of dx/(4x^2+9)^2

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Q: (7) Air is being pumped into a spherical balloon so that the volume increases at a rate of 50 cubic…

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Q: 1. Evaluate the following integral 1 z² y-z SSS xdxdydz 000

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

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Q: 3. Use logarithmic differentiation to find the derivative of the following. If must be solved for y…

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Q: Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest…

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Q: 3 Find the equation of tangent line to the curve y at the point * (₁, ²). Express the equation of…

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Q: For the following vector v, find llull, the unit vector with the same direction angle as v. v=-i +…

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