xdy = x² + 3y dx 4) X (linear equation)

Q: Given f(x) = cotx 1 - csc x " then f'(x) = = 1 g(x) - 1 Find g(x).

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Q: Let f (x) = x2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…

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Q: Let Am 40 -17] Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: we can find eigen values and eigen vectors to find the solution.

Q: Horizontal asymptote(s): y = f(x) = Find the horizontal and vertical asymptotes of f(x). If there…

A: We need to find asymptote.

Q: Given: (0, 3.0), (2, 20.6), (4, 72.8), (6, 236.5), (8, 714.0), (10, 2209.7) Use the regression…

A: Given

Q: A ball is thrown in the air. The path of the ball is represented by the equation h(?) = −t^2 + 8t.…

A: Given: h(t)=−t2 + 8t. For (a),

Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 2.

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Q: #1 #2 Cπ/2 (8 + 4 cos x) dx 0 3 [²³ - (1 − e¯x) dx

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Q: Problem 4. Use the Substitution Rule to calculate each of the following integrals. You should show…

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Q: Find the domain and range of the relation Provide your answer below: domain: range: {(0, -3), (-7,…

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Q: A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What…

A: Let's find multiplication of factors of given differential equation.

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 9…

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Q: 3. Use algebra to calculate the limits in parts (a) and (b) exactly, giving your answers as exact…

A: Given :(a) limx→4x2+2b limx→-3x2-x-1211x+33(c) limh→0h+16-4hd limx→0+xx

Q: A one-parameter family of solutions of the DE P' = P(1-P) is given below. C₁et P = c₁et Does any…

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Q: Find the y-values for each critiical and inflection point X 0 1.47 4 4.53 5 Point Classification…

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Q: Find the solution of the given DE. 7. +q=4 cos 2r; q(0)=1. dt

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Q: Evaluate OI 4 sin ³x dx sin*x + C -sin¹x + C +cos³x + C -cost + +C cost --cos³x + C

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Q: 2) dy dx = 1 xy + y (separable equation)

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Q: n regards to expressing revenue R as a function of p:  R(p)= -6p2+ 180p What is the revenue if the…

A: we can find Revenue .

Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: Problem 8. (a) Je* sin (2) (b) ) [(x +3 (c) [²² +3) In (x) dx (In (x))² dx Calculate each of the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: lim tan 7t t→0 t sec t ||

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Q: Find the local maximum of the function f(z), which is given in the graph below. Give your answer as…

A: Topic- Local maximum of a function We are given graph of a function. Local maximum on the graph is…

Q: √x+2-2 lim x→2 x-2 ||

A: Given, limx→2x+2-2x-2

Q: (e) Find equations of the horizontal and vertical asymptotes of the graph of f(x). HA VA:

A: Given query is to find vertical and horizontal asymptotes.

Q: Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The…

A: The net change theorem says when a quantity changes the final value equals the initial value plus…

Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8. 2. Asymptotes at y =…

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Q: Let f(x) For what values of x does the graph of ƒ has a horizontal tangent. = x + 2 sin x.

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Q: Evaluate the indefinite integral. [e²² 2x dx = F +C.

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Q: QUESTION 7 Evaluate [x²e² de O e¹(x²-2x+ 2) + C Oe(x²+2x+1)+C Oe(x²-2x+1) +C Oe(x²+2x+2) + C

A: The given integral is: I=∫x2exdx   As we know the common integral. ∫exdx=ex+C   Use the integration…

Q: (1) Sketch the graphs y = x¹(x+2) and y = x(x+2) for the domain [-2, 1] shading the areas between…

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Q: 1. During a rainy spring in the city of Fort Collins, Colorado, the following depth readings were…

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Q: f(x) = -x+3 2x-3 if x < 2 if x ≥ 2

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Q: Find: i) fx³dx ii) f8y³ dy

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Q: (1 point) Use algebra to evalute the following limit. (3+h)³-27 h lim h→0

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Q: plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000…

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Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each…

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Q: what is the limit as x goes to negative infitinity for x-5/x^2+6

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Q: X lim x→0 √1 + 8x − 1 - ||

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Q: Use calculus to calculate and to prove that the volume of a right circular cylinder with radius r…

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Q: Given the function f(x) = 5x - 4, find the inverse function f-¹(x) =

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Q: Write

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Q: Use an appropriate substitution (4-5 a cos² to solve the differential equation (-) ) ª dx - x dy =…

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Q: 0 -5 3) a) Given four points on the function y = f(x), A(-3,0), B(0,6), C(2,-2), and D(3,0), find…

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Q: Evaluate the function for f(x)=x+3 and g(x)=x²-2 (8-9)(0) (f-9)(0)5

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Q: Find the solution of the given DE. dT 8. +0.0697=2.07;7(0) = -30 dt

A: Topic- Differential equation we are given, dTdt+0.069T=2.07 ,T(0)=-30We know that,linear…

Q: Evaluate with the Simpsons rul

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Q: Given f() following: a) g = = 6 and f'() b) h()-[ = - 6. Also let g(x) = f(x) sin(x) and h(x) - f(x)…

A: Given :gx=fxsinxhx=fxcosx

Q: h (x) = x² lnx, at

A: Topic:- function and it's derivative

Q: The surface area S of a sphere of radius r is given by S(r) = 4². Explain why, in the given context,…

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