0 to Find the area under the curve given by y = 3 tan (2/2) from x = X 품.

Q: Find y'' if y = 2x sin x. O O O A. y'' = 4 cos x - 2x sin x B. y'' = - 2x sin x OC. y'= - 4 cos x +…

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Q: Uxy Verify that the conclusion of Clairaut's theorem holds, that is, u, u = x5y8 - y5 With u = x5y8…

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Q: For the function graphed below, find the location of the absolute maximum, if there is one. Ag(x)…

A: We have to find the location for the absolute maximum.First let's define the absolute maximum.The…

Q: Find the partial derivatives of the function f(x, y)= xyey ³y You should as a by product verify that…

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Q: A mailing service places a limit of 36 in. on the combined length and girth of (distance around) a…

A: Length of two edges is x and length of third edge is ySo, Volume of the box, V=x2 y.........[Eqn.…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: To find arc length of

Q: 7 Calculate the double integral. JJ₁³ Л 9x sin(x + y) dA, R= [0, ] × [0,] x 6 3 9√3-1 3π 2 4 X

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Q: Find dx = dy for y = dx cot x 1 + cot x

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Q: Find dy dx dy dx 11 x = √t, y = 4 - t

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Q: Solve the given differential equation by a series in powers of x. (1 - 5x)y' = 5y NOTE: Enter the…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: x(t) = 5 - 6t Find the equation of a plane through the point (-5, 6, -7) and orthogonal to the line…

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Q: 12. Find an equation of the normal line, the tangent plane of the surface (S): x² + y² − √√y + z² =…

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Q: Given the vector-valued functions u(t)=e5t+e²t + 2tk v(t) = 4ti + t²j + 4k d find (u(t) · v(t)) when…

A: We need to find derivative of dot product at given value.

Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: Evaluate the double integral. JI BX 8x dA, D= {(x, y) | 0 ≤ x ≤ π, 0≤ y ≤ sin(x)}

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Q: Find the zeros of the function, and their multiplicities. f(x) = x³ +7x² -x-7 The smallest zero is…

A: Note that as per the rules we are supposed to answer the first question and rest of the questions…

Q: Consider the following function. Find the following derivatives. fx(x, y) = 2x+y fy(x, y) fxx(x, y)…

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Q: Level curves (isothermals) are shown for the typical water temperature (in °C) in Long Lake…

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Q: 3. Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: y = 2cos(x-4)-7

Q: Find the critical points, domain endpoints, and local extreme values for the function. y=2x√4-x² KIT…

A: We have to find the critical points and corresponding local extrema points.

Q: . - Suppose that ƒ(x, y) = x² − xy + y² – 4x + 4y with D = {(x, y) |0 ≤y≤x≤4}. 1. The critical point…

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Q: Find the slope of the tangent to the curve f(x) = at the point where x = The slope of the tangent to…

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Q: Find the limit: 5x4 - 5y lim (x,y) →(4,4) x2 - у² - уг ||

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Q: (e) tan(sin−¹ y) = √2, y € (-1,1)

A: To prove"As per the rules, we are supposed to answer the first question and rest of the questions…

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: A person opens up a savings account that pays 4% interest compounded quarterly. The person makes…

A: number of years to reach $30000.let,number of years would be N.given :initial deposit, P0 =…

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

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Q: A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome…

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Q: Consider the function Evaluate the definite integral. х f(x) = { { 1 M/S 3 S³ if x < 1 if x ≥ 1 f(x)…

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Q: Let F(t) = (5est, 22, Vt-3). t-2 11 1.Th r(t)dt = ( Check Answer Vt-3). Evaluate the definite…

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Q: Find the time required for an investment of 5000 dollars to grow to 7400 dollars at an interest rate…

A: The formula for the amount based on compound interest is calculated asHere A means amount, p means…

Q: 4. In what direction is the function f(x, y) = x² + ln(x + 5y) decreas- ing most rapidly at the…

A: In what direction is the function f(x, y) = x ^ 2 + ln(x + 5y) decreasing most rapidly at the point…

Q: Problem 1: Standard automobile batteries have six lead-acid cells in series, creating a total emf of…

A: When cells are connected in series, the total electromotive force (emf) is equal to the sum of the…

Q: Find the slope of the tangent line to the graph of f(x) = √√√x+6 at x = 3. Provide your answer…

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Q: Consider the vector field. F (x, y, z) = (7ex sin(y), 5e sin(z), 8e² sin(x))

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Q: Given the following functions f(x) and g(x), find (f - g) (x). f(x)=√x+2 g(x) = x² + 5x - 4

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Q: f(x, y) = 2x³ – 6x + 6xy²

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Q: 14 Suppose you are climbing a hill whose shape is given by the equation z = 1,100 -0.005x²-0.01y2,…

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Q: P(t) = 27.2 + 14.53 In(t) (1 ≤t≤7) s the number of online buyers as a percent of the total…

A: Given

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Find lim t+t-72 ²-64 t-8 t A. Select the correct choice below and, if necessary, fill in the answer…

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Q: Which of the numbers below is closest to the monthly payment needed to pay off a loan of $1550 in 12…

A: Here A is the amount, p is the principal, r is the interest rate, n is the number of compounding…

Q: Find the derivative. 1 y= 2 11x О А. 0 в. 0 с. O D. - 1 11x3 2 11x 1 3x 3 2 11x 2 11x³ + 1 3x 1 2…

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Q: Find the curvature of the function = cos(7лx) at x = -0.5. Curvature: Find the radius of curvature…

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Q: Consider the curve 6+2xy + y³ = 4 The equation of the tangent line to the curve at the point (1, 1)…

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Q: Find the equation of the line that passes through the point (8,1) and is parallel to the line y = 3x…

A: We have to find the equation of the line that passes through the point (8,1) and is parallel to the…

Q: Evaluate the iterated integral. 8 To To 0 5xy² dx dy

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Q: Graph the polynomial function. Use synthetic division and the remainder theorem to find the zeros.…

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Q: Evaluate. log3.693.69

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