Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: As we know that; The critical number of the function, y=gy can be determined by solve the equation…

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A:

Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x>5 To evaluate ∫010fxdx

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A: Topic:- application of integration

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A:

Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: This equation s . .differential equation dy y2 .2 dx ху Bernoulli Separable Homogenous Linear

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Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). %3D (Use symbolic notation and fractions where needed.)…

A: We need to find the 7th order derivative of the function f(x) given by

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x - c² and y = c - z is 1

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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: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: (). 4. (a) Find the length of the curve y = } cosh(2r) from point (r, y) = to (x, y) = cosh 2 Hint:…

A: Given problems:-

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

A:

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

A: For (a), Trapezoidal Rule:

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Q: Select which shaded region below satisfies the conditions. 5x 4 37 3 <r<4 and 12.

A: We have to find the graph of required area.

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: Express the Cartesian coordinates (-3,1) in polar coordinates in at least two different ways. Write…

A: We have to convert in polar coordinates.

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: * This equation is an example for linear equations dy dx False O True O

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Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: y" + 3y' + 2y = x2

A: We have to solve given differential Equation.

Q: 9x2-42x+49 a. Simplify : 3x2-7x b. Solve the equations: i) 10 ii) 25x3 + 100x? – x – 4 = 0 ii) (х —…

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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: 1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ā + 205 1 (c) 8b 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Which of the following is the solution of ди +2- ди Ox 0 = a) u(x,y)= e"-2x b) u(x, y)= (2x + y)³ c)…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²…

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Q: 2x and y 4x?. Sketch the region enclosed by y Find the area of the region.

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Q: Find the volume of the solid that results when the shaded region is 6 revolved about the indicated…

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Q: 260. A bomber plane is flying horizontally at a velocity of 440 m/s and drops a bomb to a target h…

A: This is a problem related to derivative of the triangle. Based on the general formula and concept we…

Q: 2) x2 + 4x+ 3By partial

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

A: Given problem:- Plot the point on graph whose polar coordinates are (-3, -π/6)

Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

Q: Find a formula for the nth term of the arithmetic sequence. a1 26, d = 8 %3D an

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Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

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Q: Test the series for convergence or divergence. E(-1yr (3n – 1). 7n +1 n-1 Evaluate the following…

A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

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Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

A: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

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Q: Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

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Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration: