Find the limit, If it exists. x- 1 lim X---

Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

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Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

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Q: 7.372 The rate of change of the weight of a mouse, can be modeled by r(t) grams per week, where t t…

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Q: Determine the convergence or divergence of the series. (If you need to use o or -co, enter INFINITY…

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Q: 33) Find tue ared ef tue Serface formed by revolving thecirele r= f10) = 10 C6s Q f10) =10 Cos Q…

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Q: Solve  x * (dy/dx) – x6ex = 4y

A: on solving this we will get :-

Q: %3D Find the area of the region bounded by y = 5x² + 1, x = 0, x = 2,y = (

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Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

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Q: Now, find the

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Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: Csin $ 3 y cos*3 ychy

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Q: The Mean Value Theorem states: For any function, f, differentiable on (a, b) and continuous on [a,…

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Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: we are given the function f(x)=cos(x) and the interval -π3,π3.The function f(x) is continous on the…

Q: 1 In AFDE, d= 4 ft, e = 5.5 ft, mZF = 24°. Find the area of the triangle and round to the nearest…

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Q: Solve the system of differential equations.

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Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

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Q: 3. Let f(x) = x (x² + 1)/2. (a) Evaluate fo f(x)dx using integration by parts. (b) Evaluate f f(x)dx…

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Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: The letters r and 0 represent polar coordinates. Write the given equation using r-4 cos 0 Complete…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8…

A: Here We have to use the definition of the derivative.

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

A: This question can be solved using the concept of trigonometry.

Q: dy 15. Vx eu+ Vx, dx x > 0

A: We have to solve the difference equations

Q: rrent Attempt in Progress Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – v NOTE: Enter your answer in…

A: We have to find the derivative

Q: Determine if the point A(4, -7, 8) lies on the plane: T1 : [x, y, z] = [-3, 2, 9] + s [2, 3, –7] +t…

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Q: Consider the lines l : = 2 – y = z +1 and l2 : y - 2 3 1. Determine a direction vectors for the…

A: Consider the lines L1: x-12=2-y=z+1 and L2: 1-x2=y-2=z-33.1 To determine a direction vectors for the…

Q: If f(x) = V15x, find f (x). Find f (3).

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Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

A: Given query is to find the series converges or diverges.

Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

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Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: A job applicant estimates that his chance of passing a qualifying examination is , and his chance of…

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Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

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Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

A: This question can be solved using the concept of limits.

Q: Problem 4. The third term of a geometric sequence is 9, and the common ratio is 2 Find the fifth…

A: Given :3rd tern of GP is 9common ratio=32

Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

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Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

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Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

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Q: Express the series using sigma notation. 5 + 8 + 11 + 14 + 17 25(3) n-1 5 23n+2 n-1 23n+2 n-1 C5(3)1…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

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Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: 26) find the mternel of convergenu of tue power Senies (x-6)*-1 и -) 6 onsurs : aj (6,l2) d) (-6,6)…

A: A detailed solution is given below.