Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?
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Q: π/4 x³ dx (x²+4)5/2 (Use trigonometric substitution)
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Q: Bernoulli Equations: 1. (x² + y²)dx - xydy = 0
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Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…
A: We have to find the total area between the curve and the given interval on the x-axis.
Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³
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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…
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Q: f(x)=x2+2 at (1,2) Find the equation of the tangent line using delta method
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Q: Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 4 4. lim log(x+3)…
A: Given: limx→1-log12x+31-coshcos-1x
Q: Water is dripping into a hemispherical bowl with a radius of 8 cm at a rate of 1 cubic cm per…
A: Volume is evaluated.
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A: domain means value of x which we can put in equation here is in root value cant be less than 0 t -…
Q: Find the curvature K of the curve, where s is the arc length parameter. M(²) = (₁ + √2/2 =) ₁ - (₁ -…
A: we have to find curvature.
Q: if any. Find the absolute extremum point (s) of f(x) = el-cosa on [-, ],
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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4
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Q: Select the conic section represented by the equation. 5x 2 + 9y 2 - 80x + 54y + 221 = 0 point…
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Q: I-1² ( ²7 ) ₁_²01|1 - 1² || lim, 07
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Q: 1. The following integration can be solved by using the Substitution f 14 dx = ♦ (Choose the correct…
A: use a different techniques to solve this problem.
Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)
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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ 7x + 3xy² dx…
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Q: II. Find dz Do not simplify your answers. 1. log,(√2x² + y) + tan(x − ³) = sin¹(x² - 1) +
A: We can solve this as follows:
Q: 23. ["Se' dx 5e* 2 24. S/2 ze de dx 2x
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Q: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…
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Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1
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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…
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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: Using trigonometric substitution to solve: f 1 A + C 8 sec x√4-sin2x sin 2x + C 4 cos x√4-sin²x sin…
A: Solution is given below:
Q: Integrating Factor by Inspection: 1. (2y3x)dx + xdy = 0
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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…
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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…
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Q: 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the point x² + 1 where…
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Q: Given : A B Ⓒ E b 27π²-24 [x³sin(2x) dx = . 64 2π 3 3π 4 TU 4 =|m 5 T 6 Find b if Isb -SOST
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Q: An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.
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Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…
A: Here is the solution
Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…
A: The given equation is; x2+y2+6x-4y-12=0 As we know that; The general form of equation of the…
Q: Solve the differential equation and simplify (D^3 + D)^2y = 0
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Q: Use the formula ‹(t) = = 198 t7 k(t) : (4+121 +¹8) ²³/ = ||r' (t) x r"(t)|| r(t) = t²i+t¹¹j X to…
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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1 + ²/ 1. lim x12x² + x1
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Q: The IBP formula fudv-uv- - fvdu can also be written as fudv + ſ vdu = uv Which of the following…
A: Given that the four options To find choose the correct option which is satisfi IBP formula
Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]
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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…
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Q: Evaluate the following limit using L'Hospital's rule. lim (e⁹x x⇒0+ 6x) ( ) +
A: Using LHospital Rule , limit is evaluated.
Q: Solve the given differential equation. All solutions should be found. (4y³ + 2x²y) dx - (3xy² + x³)…
A: Use the substitution method and solve the differential equation.
Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…
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Q: mposition =
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Q: if any. Find the absolute extremum point(s) of f(x) = el-cost on [-, π],
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Q: Find the partial derivatives of f(x, y) = x³y²
A: Solution ) f(x ,y ) = x3 y2 a) Partial differentiation with respect to x fx( x ,y ) = 3x2y2 [ y is…
Q: Integrate the following functions f(x₁y) = (x-1) =x over the given regions y=x²
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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: 12. -s-7 (s+1)(S-2)
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Q: Write an equation for a function that has a graph with the given characteristics. The shape of y =…
A: We can find the correct answer as below.
Q: How many outcomes are in the sample space if a coin is flipped three times? 8 9 6
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