Simplify cos(t)csc(t) to a single trig function.

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

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Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Let f(x)=√8-x³¹ for x <2. -3.x² 2√√8-x³ (a) Show that f'(x) = - for x < 2. The graph of y=f(x) is…

A: Given a function y=f(x)

Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

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Q: A spherical balloon is being inflated with helium at a rate of 201 cm³/min. How fast is the…

A: topic - application of differentiation

Q: For the following integral, reverse the order of integration and evaluate the integral. 1/64 1/2 !!.…

A: We will apply change of order of integration to solve this question

Q: y = x³ - 12x² + 35x and y = -x³ + 12x² − 35x - 153.5

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Q: π Integrate f(x,y)=√16-x² over the smaller sector cut from the disk x² + y² ≤ 16 by the rays 0 ==…

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Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Find the indicated terms of the geometric sequence with the given description. The third term is -10…

A: NOTE: Refresh your page if you can't see any equations. . the third term of the geometric sequence…

Q: Which one of these expressions is not equivalent to the other two? Select the odd one out. A (В B a.…

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Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: Use Laplace transforms to solve the initial value problems in Problems 1 through 16. 1. z" +4z=0;…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the y variable for the…

Q: Expand, that is, perform the indicated operations on the differential operator D. (xD + 2)(xD - 2)

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: 4) 1z In 4

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Q: 31 If f(x, y) = e³¹ sin 9y, then fry is given by:

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Q: Find differential of the function y = dy = dy When x = 3 and dx differential. dx. = = (x²+4)³. 0.05,…

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Q: Assume that and y are both differentiable functions of t and are related by the equation 7- cos (62)…

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Q: Let f(x): = 9 if x mx - I 7 7 If f(x) is a function which is continuous everywhere, then we must…

A: f(x) is continuous at x=a iff limx-&gt;a-f(x)=limx-&gt;a+f(x) Here f(x) is continuous everywhere…

Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

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Q: Determine the projection of the surface - y² = z on the xy- plane? (Hint: z = 0) O One Line O…

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Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: A = (1, 2, 8), B = (8, 1, 8), and C = (-1,-1, −8)

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Q: Let f(x) be a continuous and increasing func [F(t)di 0 0,00) and let F(x)= X '(x) is increasing on…

A: Topic:- application of derivatives

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: To sketch the graph of f and by using your sketch to find the absolute and local maximum and minimum…

Q: Find the points of intersection of the two graphs y = sin (2x) and y = 2 cos²(x) for 0 ≤ x < 2.…

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Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

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Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: 2. Genes produce molecules called mRNA that go on to produce proteins. High concentra- tions of…

A: To evaluate the limit

Q: dy Find L y = ln (2²+4) + + Icos HIN

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Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

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Q: 4. Calculate the integral assuming the following: a. f² f(x) dx = 5₁ g(x) dx = 1 5, S² 12 4 fo b.…

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Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)log (3x²-2); x

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Consider the solid that lies above the square (in the xy-plane) R=[0,2]x[0,2] and below the elliptic…

A: We have to find the volume.

Q: Determine the values of where the function f (x) is not continuous. Label each discontinuity as…

A: Given Functionfx = x3+5x≤3x+3x&gt;3

Q: Find a parametric representation for the surface. The part of the cylinder  y2 + z2 = 144  that…

A: The answer is in step 2.

Q: (a) Check all of the following that are true for the series ∞ n=1 (n!)³ (3n)! A. This series…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) and the ou y…

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Q: 2. a) d) 2 9 T 4 b) e) 5 T 4 13 п 4 c) 2TT f) 23 TT 4

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Q: X The quadric surfaces 2y = x² and 4z = x² - y² intersect in a curve. Parametrize this curve. (One…

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Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: check the conservative of f using curl of F

Q: 1. Given y = ax³ + bx² + cx. Find a, b, and c so that the graph of y will have a point of inflection…

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Q: 2. Find the sum of the series. ∞ 71=0) 312-4¹ 5n|1

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Q: Evaluate each logarithm using properties of logarithms and the following facts. log (x) = = 3.7 log₂…

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Q: - Let f(x) = −x² + 4x − 5. Answer the following question. Find the x-intercepts and y-intercepts…

A: Given, f(x)=-x2+4x-5