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Q: Evaluate the line integral, where C is the given curve. (z² + 2xy)dx + x²dy + 2xzdz, where C is the…

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Q: = z² + 5. Below is the graph of y= 401 30 U 20 10 -3-2-1 0 1 2 3 4 5 6 The area bounded by y = z² +5…

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Q: If cos a = 0.439 and sin ß= 0.944 with both angles' terminal rays in Quadrant-I, find the values (a)…

A: Given that  and both angle's terminal rays in Quadrant I

Q: Evaluate above.) Solution The curve C (an ellipse) is shown in the figure below. Although F. dr,…

A: The given function  Here C is the curve of the intersection of the plane  and the cylinder

Q: The graph of a function g is given.   The curve begins at the point (−2, 0), goes up and right,…

A: The graph of g(x) passes through the following points:(−2, 0),(−1.5, 1),(−1, 1.5), (−0.5, 1), (0,0),…

Q: REMARK: You will be asked to submit your work for this question at the bottom of this assessment.…

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Q: REMARK: You will be asked to submit your work for this question at the bottom of this assessment. dy…

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Q: Let à = and . Find k so that a and b will be orthogonal (form a 90 degree angle). k =

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Q: Estimate the area of the region under the curve y = In(x) for 1 ≤ x ≤ 4. Use the left-hand rule with…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A: To find the points on the curve where the tangent is horizontal or vertical, we need to find the…

Q: If cosa = 0.776 and sin ß= 0.946 with both angles' terminal rays in Quadrant-I, find the values of…

A: Given that  and  in Quadrant I

Q: Let f(x, y) = x² + 2yª + 40xy. List the critical points: The critical point at the origin is a…

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Q: If f(n)(0) = (n + 1)! for n = 0, 1, 2, .. find the Maclaurin series for f. ... 200 Σ( η = 0

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Q: 19. How many times more intense is an earthquake measuring 8.2 on the Richter scale than an…

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Q: Use the Ratio Test to determine whether the series convergent or divergent. Identify an n=1 Since…

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Q: 17. The time it takes for a planet to revolve around the Sun depends on its distance from the Sun.…

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Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: N(t): Number of supermarkets

Q: Use L'Hopital's Rule to evaluate the following limit. 3x³-4x² 11³ +2x limx→

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Q: 3. It's easy to see that 23 is not the sum of the squares of two integers. Show that 23 is not the…

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Q: Find the inverse Laplace transform of- fes 3² (5²+4) a. ₁ (t-1)U(t-1)+sin2(t-1)U(t-1) b.…

A: The given function

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Substitute

Q: Find a formula for the general term a of the sequence, assuming that the pattern of the first few…

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Q: A particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1),…

A: Solution is given below in step 2.

Q: 5. Show all steps to convert the equation from Cartesian form to polar form. y = 2x+7

A: giveny=2x+7

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

A: Region is bounded by the curvesy=x2,y=x1/2Region is being rotated about x=−5 x2=xx=0,1using…

Q: 19. A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Givenfind x interceptFind y intercept

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³²…

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Q: fomular f(x) =tanx/x and has a hole at x=0 prove algebricaly that it has a hole at x=0

A: The given function is:

Q: 22. A sphere is put inside a sealed right cone so that the highest point of the sphere touches the…

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Q: Evaluate Lyds, yds, C : x = t², y=t, −4≤t≤ 4

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Q: Fill in the blanks for both missing numerators and denominators to set up partial fraction…

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Q: нах ці у(у', 3x'ї У Aceveda

A: The given differential equation is

Q: If you were given a conic section in general form, how would you determine what type of conic…

A: See that the general form of the conic section iswe can analyze the coefficients for any conic…

Q: 'I' F(x, y z) = (xy + 2xz)i + (x² + y²)j + (xy - z2)k, S is the surface of the solid bounded by the…

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Q: Suppose that f(x, y) = x² + y² at which 0 ≤ x, y and 1x + 7y≤9. Please enter exact answers 1.…

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Q: In the (3x4-1)28. would the -1 be -x in this solution?

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Q: If f’(x)=cf(c), c≠0 and f(x)≠0 the f(x) is an exponential function True or false

A: If f’(x)=cf(c), c≠0 and f(x)≠0 the f(x) is an exponential function True or false

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Convergence of sequence:A sequence {an } is said to converges if lim(n→∞) an = finite .Otherwise the…

Q: 55-68-3 Find the inverse Laplace transform of 5³ (5+1)² 3-t²+3et+2te-t b. -3-t²-3et+ 2te-' c.…

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Q: If S is the solid bounded by the paraboloid z = 2x² + 2y² and the plane z = 3 (with constant…

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Q: A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1),…

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Q: Given the vector function r(t) = (-t, -4t³, -3t¹ +5) Find the velocity and acceleration vectors at t…

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Q: 9) A slope field is given for a particular differential equation. Sketch the solution that passes…

A: A slope field is a graphical representation of the solutions to a first-order differential equation…

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³¹…

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Q: Use the graph of f(a) below to evaluate the following limits. lim 4-f(x), lim 4+ f(x), limx→a f(x),…

A: The existence of limit at x=a

Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: Decide whether L'Hospital's rule can be applied to each of the following limits. lim, 0 Olim In (3)…

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Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices (0,…

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Q: Find the equation of the plane that contains all points equidistant from the points (4,2,-1) and…

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