2- Determine lim[ v( x-1000)+10]/x x-0

Q: IV. Find Do not simplify your answers. dy dx 1 1. cos x + y² = x coshy - 2y, where x > 0

A: Given problem:-

Q: Integrating Factor by Inspection: 1. (2y3x)dx + xdy = 0

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Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

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Q: [2 If A = 3 4 1. 3 2. 6 3. 8 4. 0 x-3 -2 -1 x-27 -1 -5 is a symmetric matrix then x 4

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Q: I-1² ( ²7 ) ₁_²01|1 - 1² || lim, 07

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Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

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Q: y = 2 x + 2 -3+x

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Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√√x-1 1. lim x-5 x² - 4x - 5 2x…

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 5 y = 16 where is the horizontal…

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Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

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Q: dy II. Find Do not simplify your answers. dx 1. log; (√2x² + y) + tan(2* — 7³) = sin¯¹ (2²-1) + - Б

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: o = i i i Vo = Zo = L₁: x= 7+t, y…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 ||ti + Pi|| dt = t²i||dt 1014.07 3…

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Q: Find the limit. lim → 2 (1 i=4j+ 1² k) i. lim 1-2(ti-4 j+¹² k) = + j+ k

A: evaluate the limit component wise

Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

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Q: Solve the following differential equations of y" +4y'+3y=3e²x;

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Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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Q: 1+tan x

A: We have to find the integral.

Q: if any. Find the absolute extremum point (s) of f(x) = el-cosa on [-, ],

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Q: Find exactly T(1) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…

Q: Using production function Y = K1/2 1/2 and using the information below: Relative to US column 4…

A: Solution of the problem as follows

Q: 3. Fxz²i + (1 − 3xy)j + yzk, - A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk VXF=

A: Given vector field F=xz2 i+(1-3xy)j+yz k

Q: fe²x+Inx² sin x² dx = e2x cos x² dx

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Q: 6. y" - 4y' + 5y = 4e³t; y(0) = 2, y'(0) = 7

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Q: orrect. a k(t) ||r' (t) × r"(t)|| ||r' (t)||³ = r(t) = e¹0ti + e-tj tc

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Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

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Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: Find the directional derivative of f(x, y) = direction of Q(2, —2). NOTE: Enter the exact answer.…

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Q: nto v. t of u orthogonal to v.

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Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: Question 10 The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 4 and roots of…

A: Solving the problem by finding the value of P(x)

Q: Sa 2x²+2+x³+x² =dx = [Aƒ (x) — B ln(g(x)] + D fb dx, and if A = ,B<0, then f(x) dx x+2 x² 2x + + 5…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. - 3. lim 1-3 (x − 3)…

A: limx→0 sin xx =1   and   limx→0 tanxx=1.

Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

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Q: Find Duf at P. NOTE: Enter the exact answer. Duf= f(x, y) = sin(3x – 4y); P(4,3); - = u 3 i

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² Read It Need…

A: We can solve this as follows:

Q: 7 4x + 10 Let f(x) This function has: 1) A horizontal asymptote at y = 2) A vertical asymptote at x…

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Q: ♫/² sin ( cos() sin (²) dx (Consider initially the first 2 terms)

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Q: Two copies of the same Rational Function are shown below. On the graph below draw the Horizontal…

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Q: Find the degree of the term 126: Find the degree of the term - 6: Find the degree of the term - 12³:…

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