1 Find the surface area of the part of the hyperbolic paraboloid z = (x² - y²) that lies inside the cylinder x² + y² = 4.

Q: (a) Find x, y, z and B, where Tox 37 A = 1 -3 y A² = 1; C(4+1)+3B7 = 2A, and I: unit matrix ; 4 o…

A: Please re-state the subpart (b) properly.   To find the values of x, y, z and the matrix B=?

Q: Find the function whose tangent line has the slope e for each value of x and whose graph passes…

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Q: [² (8cx² = 6cx+6c) de Identify the variable of integration in the given definite integral. Type only…

A: Given problem:- ∫pq8cx2-6cx+6cdc

Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: Find the indefinite integral. (1+3 Inx)11 X -dx

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Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: h tin tly Suppose that the graph below is the graph of f'(x), the derivative of a function f(x).…

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Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: Evaluate using integration by parts: fx sec-¹x dx

A: SOLUTION-

Q: Find the Laplace Transform of f(t) = sin2tcost A B 2 54 +55² +4 2 Ⓒ 4 E s² +3 s+10s² +9. ( 5++55²+4)…

A: Given problem:- Find the Laplace Transform of f(t) = sin2tcost

Q: 3 5 58 a. A-¹BT Given A = and B = -2 -5 3 7 find

A: Solution is given below:

Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for…

A: Write expression in terms of m and n for each of the following.

Q: Σ (5tan (k+1)-Stan 'k) K=1 • Sn= a. Stan '(n+1)-Stan-'1 b. Stan'n-Stan"" c. tan'(n+1) - tan¹2 d.…

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Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

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Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: In terms of limits, what does it mean for f to grow faster than g as x→∞? Choose the correct answer…

A: We need to choose correct option.

Q: Find the inverse function (on the given interval, if specified) and graph both f and f graphs.…

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Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

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Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: Find the derivative of y with respect to x. 1 y=x' In (x)---x obra d we do O A. 7x5-x² OB. 8x5-x2…

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Q: Ga. Draw a direction field for the given differential equation How do solutions appear to behave as…

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Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

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Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: a. Verify that the function y = cos x - sinx + x² - 2 is a solution of the given differential…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Evaluate the function for the given value of x. r(x)=3x, p(x)=x2+6x,(p-r)(x)

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: Estimate the minimum number of subintervals needed to approximate the following integral with an…

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Q: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

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Q: I 8. y" + siny = 0; y (0) = 1, y' (0) = 0

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: lim x→5 3x |x-5|

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Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Evaluate lim x-2 6-x-2 /3-x-1

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Q: 1. Find the respect y = 2x5-x² 3x - 20 derivatives with to X using dy using o 12-1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: This question is related to equation of straight line and plane, we will solve it using given…

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

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