f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

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A: We need to find volume.

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Q: If f(x) = 4ln(6x + 3 ln(x)),

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A: Let's find given graph represent a function or not.

Q: -0.05t Water is drained from a swimming pool at a rate given by R(t) = 20 e gal/hr. If the drain is…

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Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

A: In given problem since function f (x) = 5x+2 is defined only on [-1,5) i.e. 5 is not in the domain…

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A: Integration need to be done after proper simplification of the term.

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: For each of the following equations, determine whether y = 8x Function Not a function y = 2x + 5…

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Q: on f(x)--(x + 1)(x - 1)²(x - 3)²

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Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: . Find the value of angle A in the triangle where a = 8, b = 6, and c = 7 to the nearest degree.…

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Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vfl (2,-1,-2)=(₁+j+k (Type integers or simplified…

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Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

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Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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Q: S √4x² +9dx

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Q: find the derivative of the funtions: 1. sin (√x Inx) 2. (d2/dx2)(xArctanx)

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Q: Evaluate the definite integral. 16 (10y√y +9√y) dy 16 jo (10y√y +9√y) dy = (Simplify your answer.) 4

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Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: Find the partial fraction decomposition of 2 + 2x-8

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Q: For the position function s(t) = velocity at t = 0. Time [0, 1] Interval Average Velocity 15…

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Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: 1. Given f(x) =.9x) = 2x – 7, and h(x) = , find the following. a) The domain of f(x). Write the…

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Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: Concept: Cardioid: A cardioid is a geometric figure with a heart configuration. It is the location…

Q: Find the area of plane region bounded by the curves y = x³, y = tan² z - 3 and the inequality 0≤x≤

A: To find the area of plane region bounded by the curves y=x3, y=tan2 x-3 and the inequality 0≤x≤π2.

Q: Without using the graph, determine all critical points of e2x − 2x and classify them as local max,…

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Q: When fully multiplied out, what is the 8th term of (x – 3y)'³?

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Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: determine the instantaneous rate of change in: a. surface area of spherical balloon (as it…

A:

Q: FIND THE AREA OF THE REGION BOUNDED BY THE FOLLOWING CURVES: 1. y = x(x-3), x = 0, x = 5 2. y =…

A: Given

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x + 1…

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Q: The function f(x) = x² - 16 The function f(x) = lxle f''(x)f"(x) changes sign at c=0c=0 f''(x)f"(x)…

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Q: Solve each of the following problems completely. Draw the complete figures for each question. 2.…

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Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: Find the (x-coordinate of the) inflection point of f(x) = x³ – 3x? + 5x – 4

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Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

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Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√9-x²) dy =

A: Solution: y=ln9-x2 Differentiate both sides

Q: The two-dimensional Laplace equation, f(x,y)=-4x+2y-7 Find 2x² 22²4 for the given function. 2²1 2²²…

A: Given function f(x,y)=-4x+2y-7

Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

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Q: 12x A company has found that the marginal cost (in thousands of dollars) to produce x central air…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: Given query is to find integral converges or diverges.

Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

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Q: Evaluate the definite integral. 3 12√/5y + 1 dy 12√/5y + 1 dy = (Simplify your answer.)

A: Here is the solution: