Solve 11. a), b), c), d)

Q: Q1 (a) Show that y= Ae²* + Be ³*, where A and B are constants, is the general solution of the…

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Q: 5. From the top of a building a bicycle is seen. The distance between the bicycle and the base of…

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Q: Σ k=1 3k! k Choose the correct answer below. A. The series converges absolutely. B. The series…

A: The given series is: ∑k=1∞3kk!kk Now, it is a positive term series. So, it is either absolutely…

Q: Find the solution of the given initial value problem: y(4) + 2y"+y = 3t + 4; y(0) = y′(0) = 0, y″(0)…

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Q: Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch…

A: Solve the following

Q: The piecewise function /(x) is graphed below. Use geometric formulas to evaluate the following…

A: First we find f(x) , Here in interval -7≤x≤-1 f(x) is semi circle, whose center is at (-4,0) and…

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: 1.12 Evaluate the limit, if it exists. If not, enter "n" below. x²+x-6 x - 2 lim I-2

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Q: ind the volume generated by revolving the area 1 unded by y = 2 x³ + 15x² + 56x Round the answer to…

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Q: A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at…

A: We need to fill in the blanks.

Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4

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Q: / dw W8 W8

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Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given the graph distance time graph of a function. To find whether the slope is positive or…

Q: For the function f whose graph is given, state the value of the given quantity, if it exists. If it…

A: Here we have to use the concept of limit.

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

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Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

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Q: The Laplace transform of a continuous function over the interval [0, ∞o) is defined by F(s) = [ e…

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Q: For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.…

A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

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Q: Finals - Research All Formula in Integral Calculus.

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Q: 1 10. Sketch the graph of g(x)= - - cos7x, using the amplitude and the period. 7

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Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: 1. 8. (v³ - 3y + 2)√√9+x²dx + x²dy = 0 (x² - 1)y" + 2y' — (x − 1)(x + 1)² = 0

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -7t y…

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Q: 1.6 Suppose that For each function h given below, find a formula for h(x) and the domain of h Note:…

A: The solution is given below

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: Using Trapezoidal Rule, with n = 10, approximate the ntegral below. Give the error of approximation…

A: To solve the following problem using trapezoidal rule

Q: Evaluate using Reduction Formula 1. [ cos7x dx cos" x dx dx = = cos"-¹x sinx + -"-1 [cos"-²x 12 1…

A: ∫cos7x dx

Q: The Cartesian coordinates of a point are given. (a) (-2, 2)

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Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 55° (x, y) =…

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Q: n = 10, approximate the integral S Give the error of approximation for each 2 cos xdr

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Q: If f(x)=√10- x and g(x) 3x² 10 - 3 x²√10 x - O 3√10-x x² X Ox²√10-2 3 O None of these. 3 g(x) find…

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: This answer is w

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Q: Write its sum as the ratio of two integers. Step 1 In Part (a) we wrote the repeating decimal 0.5 as…

A: The solution is given below

Q: Graph the function by using transformations of the graph of y= points on each side. p(x) = 1 (x-2)²…

A: The graph of the function y=1x2 is:

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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