1- y = x-1 2- y = √x 3-y=4-x²

Q: 3-4 cm (5x + ²) cos Consider the following function: Reminders: Give exact values for all questions.…

A: We know that, General form of the Cosine Function is: y = a cos(bx + c)  where: a is the amplitude…

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: ) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A: We can solve this as follows:

Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

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Q: Describe the surface. x² + z² = 1 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are…

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Q: Write in terms of sine and cosine and simplify the expression. cos A - 2 sin A cos A cos² A - sin² A…

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Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: Jse differentials to approximate 47. (Express as a rational number.)

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: Write an equation for the transformed logarithm shown below 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 5 f(x) = N…

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Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: intervals. (a) [1,2]n (1/2,2) n (0,1/2]. (b) R-(0.3) (c) (-2,0) U(-1,5) (d) (R-(0,3)) ((-2,0U(-1,5))

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Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: 7- Find fx³√3 - 2x² dx

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Q: The table gives the values of a function obtained from an - using three equal subintervals with left…

A: To approximate the value of given integral using left endpoint approximation.

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+sec² X 2y , y(0) = -5. dx

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Q: For what positive values of p the following Alternating Series converges 3n [(-1)"³" pn n=1 p=3 Ο Ο…

A: We have to find the value of p

Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: The distance between -3 and 7 on the real line is 10. ibs O صواب

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Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

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Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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Q: 2. Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed,…

A: solution:-left end pointRiemann sumnumber of rectanglen=5∆t=10-05=2t0=0, t1=2,  t2=4,  t3=6,  t4=8,…

Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

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Q: 2² - 25 lim 15 x²8x + 15

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Here, given that force can be described by: f(x)=x3-sin 2x+1 And, no other force acting on the box.…

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: √3.01³ +2.992

A: We need to evaluate :

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Given query is to find where f is increasing and decreasing.

Q: Write an equation for the transformed logarithm shown below. Your answer should include a vertical…

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Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

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Q: Find all critical points of f(x) = 4x³ + 4x-3. (Use symbolic notation and fractions where needed.…

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Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: Given the graph of y = f(x), sketch the graph of y=√√f(x).

A: We have to make graph of f(x).

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: Find the integral dx √=x² + 6x I

A: We know that ∫dxa2-x2 = sin-1xa+C

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…

A: The given integral,        ∫x34-x2dx

Q: (McQuarrie F-7) Find the three roots of the determinantal equation, 1-A 1 0 1 1-A 1 0 1 1 - A

A: