For the function ƒ(x) = 4x² + 1 find

Q: 1) Sketch the graph and test the symmetry of the following : r =10 r =-14sin 0 r? = 9sin 20 %3D

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Q: 4x5-2x3 Find lim using rules for limits at infinity. ズ→+0 3x7

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Q: 5. Consider the function f(x)=x² +ln x². [Hint: The domain of this function is all real numbers exce...

A: Given function is f(x)=x2+lnx2

Q: go 6+5sinx)

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Q: Verify Young's Theorem z = In(2x + y) -

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Q: Find the first and second derivatives of the functions in Exercises q² + 3 p = (q – 1) + (q + 1) -

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Q: a. Where do they intersect? b. Recall, to find the area of this region we are splicing this up into ...

A: Follow the procedure given below.

Q: c. Based on the orientation of your rectangle would we integrate with respect to x or y? С.

A: Follow the procedure given below.

Q: In Problems 31 – 36 solve the given differential equation by finding, as in Example 4, an appropriat...

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Q: Sir Glenn gave BET-CPET students the chance to write their observations based on the list of functio...

A: For this we have to put the value in the given function. 

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' = 3[-1(...

Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )...

A: Given problem:-

Q: - i. Determine whether n=1 is convergent using ratio test. en ton-1 n

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 1 5. Find lim using special limits. X→0 xcot2x

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Q: Find the equation of the tangent line to the curve y = 5x cos T at the point (T, – 57). The equation...

A: Please refer the attached image for complete solution. THANK YOU.

Q: csc (In æ) cot(ln æ) csc³ dæ) æ[1+csc®(ln æ)]³ 5

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Q: Test whether the equations generated by scalar multiplication are equivalent to the original equatio...

A: Solution is here

Q: Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about the x...

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Q: Find the unit tangent vector T(t) to the curve  at time t.

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Q: Use the graph to determine the equation of the vertical asymptote: 5+ -5-4 --2 1 2 3 4 5 -2 -3 -4 -5...

A: Vertical asymptote is given by the line about which the graph runs parallel but never cuts it.

Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2...

Q: Evalute the indefinite integrals using the general power rule

A: ∫5e3x9-12e3x+4e6x4dx

Q: 8.) f(x) = v5x* – 12

A: Given:        fx=5x6-12        fx=5x6-1212 differentiating on both sides    f'x=ddx5x6-1212

Q: arctan x dx Jo 2 + e* 8.

A: Given that a integration and we use to comparison theorem to determine this integral is convergent o...

Q: 10. Discuss the Bisection method to find the real root of an equatio f(x) = 0. Using this method fin...

A: Bisection Method: Consider a function:  f(x)=0Now we consider two numbers a and b such that a<b a...

Q: 4. (а) Find the general (implicit) solution to this differential equation. dy x – 5 (x – 1) dx y²(x ...

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y ...

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Q: (b) i. Label the blue curve with a function h and the green curve with a function k. ii. Using the g...

A: Given graph:-           To find:- i. Label the blue curve with a function h and the green curve wit...

Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroS...

A: Given:- Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ...

Q: 4) Use the sum, difference, double or half-angle formulas to find the exact value of tan(75°). Calcu...

A: To evaluate:tan75°

Q: Find an equation of the tangent line to the curve at the given point. 2x (0, 0) (x + 1)2'

A: The given curve y=2xx+12, at the point 0,0

Q: 2. Given the points P(-1,3, 1), Q(0,5, 2), R(4,3, –1), (a) Find a nonzero vector orthogonal to the p...

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Q: Use the Intermediate Value Theorem in the following exercise: Find an interval of the length 0.01 t...

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Q: 4. Draw the graph corresponding to the following adjacency matrix: O 2 1 0] 2 0 1 2 A = 1 1 1 1 0 2 ...

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Q: Given F(r, s, t) = r(3s4 – 6t°), compute: Frst

A: This is a partial differential problem

Q: Find the volumes of the solids generated by revolving the region between y = 2/x and y = about a) th...

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Q: Consider f(x) = x° + (a) What value of b makes this f(x) have a local minimum at x= 2? (b) What valu...

A: Given: Consider fx=x3+bx To Find:  a To determine the value of b that makes this fx have a local min...

Q: Obtain the differential equation of the family of curves described and sketch some members of the fa...

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Q: Given u(x, t) = te-, compute:

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Q: 8x10+2x-3 4. Find lim using rules for limits at infinity.

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Q: 2t – 2 t2- 1, Let r(t) = - î - tan (t) ĵ+ In(2t) k. %3D (a) Determine the domain of r. (b) Compute l...

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Q: * Q115-The term of function and mapping are the same True False * Q2\1-Can a function's domain and r...

A: 2  It can be possible  domain and range of a function is same  let f(x)=x  here always domain and ra...

Q: Define a sequence {an} as follows: Let a, = 1, and define (an)² + (2n + 3)a,n + (4n + 3) An+1 аn + 2...

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Q: B. Directions: Find all values of x where the function f (x) below is discontinuous and prove that i...

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Q: Evaluate the integral 8x2 dx J (æ – 3)(x + 2)² - Note: Use an upper-case "C" for the constant of int...

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Q: Find the volumes of the solids generated by revolving the region between y= 3/x and y= about a) the ...

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Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

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

Q: For the function f(x) = x state if a power function. If so, write it in the form f(x) = kx" and stat...

A: The given function is fx=xTo determine if it is a power function.

Q: raluate 1+cos 4r 1-cos 4x

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Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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