dy Find by implicit differentiation, given that x²y – 2y6 = =-5. Your answer could involve both dx x and y. Enclose numerators and denominators in parentheses. For example, (a − b)/(1+n).

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A: Given:  A triangle ABC right angled at C sinB=13

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Q: Find the derivative of the following functions. Use long method. a. f(x) = 3x² + 5x - 100 b. f(x) =…

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Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim X x→0+

A: Solution: a) limx→0+sin xx1x2

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Q: ←…

A: Given

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A: We can solve the given integral by using substitution.

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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Q: True or false Unlike the anglet in the trigonometric function cost, the t in the cosht represents an…

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Q: Find a particular solution of =(x−1)² if y=-21 when x=-3. dx

A: dydx  = ( x - 1 )2   , y = -21, x = -3 we have to find particular solution of it

Q: Considering C is a curve which has the following parametric equations: 1 t³t+1, C = { x (t) = { 1³3…

A: Parametric equation

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Volume of solid is evaluated using cylinderical shell method.

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Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: Find the complete solution of e sinx-cos²x=0. dx

A: *Formula:- 1. ∫exdx =ex.2. sinxcosx = tanx.3.  1cosx = sec(x).4. ∫sec(x)tanx = sec(x).5. ey =x ⇒y =…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

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Q: 2x²+x-2 (x + 1) (x²+1) dx = √ [+41 + x+ 2 If S A B 5 © €/ 5 D 4 E) None 5/2 B (2x) + C 1 x²+1 dx,…

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Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

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Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: topic- algebra

Q: Show

A: Please refer to the image below

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

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Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

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Q: Find the arc length of the polar curve described by: r = 10 + 10 cos 0

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Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: Given x = y³+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 B

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Q: Solve the differential equation a. (4x³y² - 6x³y - 2x - 3)dx + (2x¹y-2x³)dy=0 b. (x-4y-3)…

A: If the differential equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x ,then solution is        ∫y…

Q: (-1)k 9. Does the series Ex=1 +7 converge absolutely, converge conditionally or diverge? A.…

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Q: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

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Q: What monthly compounding nominal interest rate is earned on an investment that doubles in 10 years?…

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: I have shaded the area green which is to be calculated

Q: In evaluating 5 dx =, is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6.…

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Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: We have to find all values of k for which the given augmented matrix corresponds to a consistent…

Q: Let (t) = 5 cos(t) and y(t) = 3 sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Applications of differentiation

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁749 dx…

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Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

A: Here we have to find out the area between the given curve that is we have given two parabolas

Q: -0.45|-2.8x - 4.06| 2.5

A: Here we have -0.45-2.8x-4.06-2.5

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: