Evaluate F. dr. F(x, y) = 7xi + 4yj C: r(t) = ti + V4 - tj, -1 sts

Q: Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists of the…

A: limx→∞ x2+8x3-11x=limx→∞ 1xx2+8x1x(3-11x)=limx→∞ x2+8xx23x-11

Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Given that f, g, and h are functions with values f(2) = –4, g(2) = –2, and h(2) = 2, and…

A: We have to find following expression.

Q: 4x + 2(x+1) ≥7+x

A: Solution: According to your given question, we are solving for x 4x+2(x+1)≥7+x

Q: 20 y = g(x) 10 0 20 35 stooral by interpreting it in terms of arosc X O

A: Area above x axis is positive area below x axis is negative

Q: In Exercises 5-7, rewrite the specified linear system in matrix form. 5. dx 6. dx 7. dp = 2x + y =…

A: 5.

Q: Cours A swimming pool is nearly empty, holding only 5100 gallons of water. A system is set up so…

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Q: me origin is 6i + 8j, then the me direction of a = 3i + 4j at

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Q: Find the surface area when the curve C = {(x, y): 0 ≤ x ≤ 2, y² = 2 − x} about the x-axis.

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Q: Solve the inequality R(x) <0, where x-3 R(x) = x(x-4)' function. 4- 2- , by using the graph of the 6…

A: Here we have to find the inequality by using the graph.

Q: 12. A company is constructing a cylindrical can for a new product. They want to keep the cost of…

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Find the following using the table below. X 1 2 3 4 f(x) 4 2 1 3 f'(x) 3 1 4 2 g(x) 3 4 2 1 g'(x) 1…

A: Value table,

Q: Use local linear approximation to estimate In(1.08)

A:

Q: Let f(x)= = z+1 x³2x² + x

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Find the slope of the tangent line to the curve 1x² − 2xy + 1y³ = 13 at the point (4,3).

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Q: ectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by…

A: Given query is to find the velocity at indicated point.

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.4q+950, what is the marginal…

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Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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Q: Consider the following. y 2 y=4-x² (2.0), X 0.5 1.0 1.5 2.0 2.5 3.0 (a) Form the integral that…

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Q: 3. [_x dx √2 +*

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Q: Consider the curve defined parametrically by x(t) = cos(t), y(t) = sin(t), te [0, π] (a) For what…

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Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: x2 – 4xy – 2y2) dx + (y2 + 4xy − 2x2) dy = 0

A:

Q: The decay rate for a radioactive isotope

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Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Let y = 2x². Find the change in y, Ay when I = 4 and Ar 0.1 Sesse Find the differential dy when = 4…

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Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Given; I=∫4xsin4xdx   ....1   As we know that; ddxax=axlna∫sinxdx=-cosx+C And ∫a·fxdx=a·∫fxdx, where…

Q: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

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Q: L(25 — х?)3/2. |dx

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Q: Consider the curve parameterized by x = 2t³ - 33t² + 180t and y = 2t³ + 33t² + 180t. At what points…

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Q: taylor series & radius of convergence of f(x)=sin(2x), centered at a= pi (22/7)

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y =…

A: Given; y=4-12x, y=0, x=1, x=2 From the given curves the bounded region is as shown below.   Now…

Q: 21 · 8* cos (8*) dx =

A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

Q: Find the inverse of f(x) = 3 √5x² +2 What is its domain?

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Q: 17. r=3sin 40

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Q: Graph the function using translations. f(x) = 3x+1

A: We will find the suitable graph.

Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: T X =…

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Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: Consider the curve parametrized by x www = 1 + ln(t) and y = t¹ + 2t. dy a) First eliminate the…

A: topic - derivatives

Q: The gradient of f(x, y, z) = xy²z³ at the point (1, 2, 1) is

A:

Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: 10. Using the graph below of the function f(x), identify the approximate interval(s) where the first…

A: Given that,

Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct