Find the volume of the solid obtained by rotating the region bounded by the curve and the x-axis on the interval [0,1] around the X-axis Line y = -1

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A:

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A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the equa...

A: To find the equation of tangent.

Q: 8. Given the functions f(x) = 2x +5 and g(x) = x² - 4, find (f +g)x. a. 2x + 5x - 8x – 20 b. 2x - 5x...

A: As per our guidelines we are supposed to answer only one question i.e. the question no (8). For the ...

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A: Given query is to find the sign of the derivative.  

Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

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Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

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Q: ctoo The improper integral I' dx converges for p<-1. True False

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Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 Cos 40 d0

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Q: Select ALL possible answers if there is more than one. 1 if x<- 16 2. If f(x) is continuous at x =: ...

A: Differentiable

Q: DO NOT include spaces in between characters. Compute g'(2) if g(x)=10**-2*. 16 Your answer

A: The objective is to compute g'(2).

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: Sketch the region enclosed by the given curves. y-Vx-2, x- y- 2 y Find the area of the region.

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Q: Find the area of the triangle with vertices P(1,6, –5), Q(0,0, 0) and R(2,3, 1). NOTE: Enter the exa...

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x -5x 3 Xo...

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A) p(x...

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Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

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Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is Round your answers to fou...

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Q: dx x4 V9 – x2

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Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

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Q: 4. Sdz 「号

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Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

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Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15 -1...

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Use the method of variation of parameters to find a particular solution of the following differentia...

A:

Q: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.  

Q: 2. Find the derivatives of the following equations: y = sin-'(1 – t) y = csc-'(x/2) CSC y = In(tan¬1...

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

Q: a. Use integrals to show that the circumference of the circle z2 + y? = a² is 27a. %3D b. Find the l...

A: Given that equation of circle x2+y2=a2center of circle 0,0  and radius =aSolution :x2+y2=a2y=±a2-x2o...

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: Your factory is going to manufacture a rectangular container which has a fixed capacity V, with a sq...

A: The Volume of a box with a square base  x by xand height  h is V = x2hh=Vx2The amount of material us...

Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: An 8- meter ladder with its foot 4 meters from the wall slides away at a rate of 1.5 m/s.

A: Find your answer below 

Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x&lt;22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing...