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Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the v...

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Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(2)=8, F′(2)=−6  G(2)=10, G′(2)=−4 G(1)=2, G′(1)=6  H′...

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Q: Determine the standard form of equation of a hyperbola with center at (-2,1), distance from the cent...

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Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Tangential and normal component of Acceleration : Suppose that r→(t) is a smooth parametrization of ...

Q: as, consider the different

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Q: Start at 1. Create a pattern that multiplies each number by 2. Stop when you have 5 numbers.

A: You are asking me to creat a sequence that we can make in many ways. One of them I am showing here.

Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex (0,1/2...

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Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: Given an infinite series, discuss a strategy for deciding what convergence test to use

A: First i have written an infinite series and told about convergence test of similar series named p-te...

Q: 1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

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Q: 3 -dx 4 - x

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Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: Problem 1. Draw a direction field for the given differential equation. By hand, sketch an approxi- m...

A: Solutionn is here

Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* – 6x – 2y + 1

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Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

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Q: '2 x(2-х x(2-x)99dx : - = xp66

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: csc 0 tan 0 dr – r csc 0 + tan? 0) d0 = 0 -

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Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

A: Let's find. 

Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts...

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: f(x)=ax^2+b, f(4)=−3 and f′(4)=5, find the coefficients a and b. a= b=

A: Given query is to find the value of a and b.

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully simp...

A: Given query is to find the indicated half angle trigonometric function.

Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: 4x+2 find average rate of change from x=-1 t x=1

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Q: Use implicit differentiation to find the derivative y' of the following: y²+2ye2x у?е2x + хуз — 1%3D...

A: Given :6. y2e2x+xy3-1=07. xey+3y-10x=0To find: Implicit differentiation to the derivative y'.  

Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: у (2ху+1) dz +a (1+2ху— г3 у?) dy 3 0 (1+ 2гу— а* у) dy %3D0

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Q: Find the dimensions of the given matrix. 16 -16 D = -9 ; d31 7 50 16 Identify the given entry. d31

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Q: 1. Find a linear differential operator (of lowest order) that annihilates the given function: flr) -...

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Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)...

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Q: -6/- -70 -8 Provide your answer below: lim f(x) = U a. x -4 b. lim f(x) =D | x-4+

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: x (4 y dæ + 2 x dy) + y (3 y dæ + 5 x dy) = 0

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Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: ® 2ly*t9) dx +(1-x*)ydy = %3D

A: given DE 2y2+4dx+1-x2ydy = 02y2+4dx = -1-x2ydy2dx1-x2 = -ydyy2+4integrate on both sides to get the s...

Q: Evaluate f tan²xsec*xdx using trigonometric integrals

A: Our Aim is to evaluate the integral given below:-∫tan2 (x) sec4 (x) dx -(i)

Q: d²y 2. Find the second derivative of x? – 3xy? + y3 = 15 dx?

A: The given equation is; x2-3xy2+y3=15.

Q: find mayium. heisht hit)--2+ +8+ t19 which OF descibes LOX 15X5 +3Y-200 the Pollonins accurately He ...

A: We have to find the maximum height using the differenciation

Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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