Differentiate the functions: cosec x * cos x

Q: Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters…

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

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Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: S dx x+7 2x-3

A: To solve the following integral.

Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: below. nowing question about the functions whose derivatives are given What are the critical points…

A: Since we are given with multiple number of question answer will be according to the guideline Given…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: Find the integral of the following function by parts So 0 sec²0 de Ja where a = 6.08, b = 7.05 in…

A: The given integral is

Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: please i dont understand that you did after step 3 from 0=sin(2pi c)

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Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: A square-based pyramid has a height that is increasing at a rate of 7 inches per minute while the…

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Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: a) Convert the point whose polar coordinates are (4, 5pi/4) to rectangular coordinates.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Find parametric equations that describe the circular path of the following person. Assume (x,y)…

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Q: 1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to…

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Q: Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7…

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Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y

Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

A: We have to find the flux of the curl of the field F using surface integral in Stoke's Theorem.Given…

Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: Find a power series representation for the function. f(y)=In f(x)= In[11+y)

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = a cos³…

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Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

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Q: 8. Use the method of substitution to evaluate each of the following general antiderivatives 6x² (a)…

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Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands…

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Q: If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

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Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to…

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Q: Find all exact solutions on the interval 0 ≤ 0< 360°. If there is more than one answer, enter them…

A: 2 cos(theta) = - sqrt(2), [0,2 pi)

Q: A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.261)e1.12567t…

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Q: Choose the correct graph below OA O OB. Oc W NE

A: The derivative of the downward parabola is the line with a negative slope.The derivative of the…

Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³,…

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