-5t i + j+ sin(3t) k sin (t) lim e t 0

Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: Using appropriate substitution tan3. dx sec5x tan³x is equal to

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Q: Find the length of the curve r(t) = t^2i − 2√2tj + (t/2 − 1)k for 0 ≤ t ≤ 1.

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: By using the Shell Method to compute the volume of the solid obtained by rotating the region in the…

Q: he volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr3. Express r as a…

A: Topic:- function

Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Solve the equation .11 y" + 3y + 2y = x2

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Q: Question Help: DVideo

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Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: For the differential equation (x2 – 9)y" + (x – 3)y' + 2y = 0, a regular singular point is: O x=3…

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Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

Q: 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: [CLO-3] In the following question, FN represents the Nth Fibonacci number. F - 5 =

A: Follow the procedure given below.

Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration:

Q: Question 3 [CLO-1] The table attached shows the preference schedule for an election: Number of…

A: Given question:- There is no condorcent candidate for the preference schedule

Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: *?Which of the following equations Is an exact differentlal equation (x² + 1) dx – xydy = 0 2xydx +…

A: We have to choose correct options.

Q: A company's marginal cost function is where x is the number of units. Find the total cost of the…

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Q: Find the exponential function that contains the points (2,48) and (3,192).

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Q: A rectangular box with a length of 10 feet and a volume of 110 cubic feet is to be made from two…

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Q: How can we write out the summation of this notation

A: Topic:- simplification

Q: * This equation is an example for linear equations dy = x²e* y dx False O True O

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Q: 7x and y = 5x². Sketch the region enclosed by y Decide whether to integrate with respect to x or y.…

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Q: enupomS UI Che IlmaJur anu Uf elmpses, anu apolnts Of traces. Consider the quadric surface S2 : 4 +…

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Q: Sketch the region enclosed by x + y? x + y = 0. = 12 and = 0. a) Favoring convenience, should you…

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Q: Finding Partial Sums In Exercises 5-10, find the sequence of partial sums S, S2, S, S and Sg. 5.…

A: 6. 12.3+23.4+34.5+45.6+56.7+.....10. ∑n=1∞(-1)n+1n!

Q: Either show that the improper integral converges and find its value, or show that it diverges S* the…

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: 5. S sin5x cos 3x dx

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Q: 2pm travels east at 50 mph. How fast are the trains separating after a long time?

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Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: Using Long (Euclidean) division then decomposition into partial fractions x4 – 4x2 – x - 3 dx x² –…

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Evaluate the limit. 12 lim x-5 x2 + 2x – 35 5 Give your answer in exact form. If the limit does not…

A: topic - limits

Q: 5 (b). ( the base radius making the surface area minimum. ) Consider a cylinder having fixed volume.…

A: Use the application of derivative to minimise the surface area.

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) 5x + 1 (Express numbers in…

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Q: Find the volume of a cap of a sphere with radius 50 and height h = 3.

A: volume of sherical cap with radius given r=50 and height=3

Q: 3 xp- 4.

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 254. The sides of an equilateral triangle is increasing at rate of 10 cm/min. What is the length of…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). (Use symbolic notation and fractions where needed.)

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Q: The equation of the tangent plane to this ellipsoid at (1, –2, –2) is The vector parametric form of…

A: Let's find.

Q: dy 3y- + 4x = 0 dx

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Q: Find the derivative of the function y = 3 sec¬' (x + 3). (Use symbolic notation and fractions where…

A: We need to find derivative.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: This equation is an example for linear equations dy y + dx x²e* False O True O

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Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives