I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the mapping rule you would use to graph the function in a)

Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: Use the Ratio Test to determine if the series converges. 10k Σ k=1 Select the correct choice below…

A: The given series is ∑k=1∞10kkk

Q: 09 Graph the functions in Exercise (1) 4 (ii). Then answer these quodions (a) what are the domain…

A: Given data:- The below Function are given, (i); fx=1-x20≤x<111≤x<22x=2 (ii); fx=x-1≤x<0 or…

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: Given the curve x = a² - y² over the interval 0 ≤ y ≤ a/2, find the surface area of the solid formed…

A: Solution is given below:

Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Our goal is to approximate the positive real number x that satisfies sinx=x3We will apply Newton's…

Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…

Q: In Problems 1-5, let R be the region bounded by y = 4-(x - 2)² and y = x. Each problem will describe…

A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

A:

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

A:

Q: Find the complete solution of d dt 5t Vs

A:

Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

A: Solution is given below:

Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

A:

Q: Consider the function with the graph below. -6 (Click on graph to enlarge) What is the Domain? What…

A: To find out the domain and range of the function from the graph.

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: O Graph the function f(x): ²x+4,-3 -6 -4 -22 7 6- 4- 2- 2 -2

A:

Q: find area of abc triangle with given parts A=29.6 degrees b=10.7 in c=6.6in

A: Use sine law

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

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

Q: Determine is the given alternating series converges or diverges using the Alternating Series Test.…

A: Solution is given below:

Q: Use the Root Test to determine if the given series converges absolutely or diverges. ∞ Σα 1 ( 9) n…

A:

Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-9 b) lim g(x) = X-9+ c)…

A:

Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: Solve: y(1) Given: y" + y = k sin(kt), y(0)=6, y'(0) = 0, where k-sqrt(2)

A: y" + y = k sin(kt), y(0) = 6 y'(0) = 0, where k = sqrt(2)

Q: A region bounded by f(y) = 2y – 2, y = 3, and x = 0 is shown below. Find the volume of the solid…

A:

Q: Use the given graph of the function f to find the following values for f-¹. 1. f-¹(-4)= 2. f¹(-3) =…

A:

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A:

Q: Q2. A circle with centre C has equation x² + y² 10y + 20 = 0. (a) By completing the square, express…

A: The objective of the question is determine the general circle equation ,centre and radius.

Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

Q: = If cot(x) Give exact answers. sin (²) cos (77) tan(72) = 18 5 = Submit Question (in Quadrant 2),…

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

Q: ow do you find the 70th derivative of f(x)=cos(x)

A:

Q: Determine whether the following series converges. 8 5(-1)k Σ 5k+6 k=0 Let ak 20 represent the…

A: The given series is ∑k=0∞5-1k5k+6

Q: Four functions are given below. Perform the indicated compositions to determine which functions are…

A:

Q: When you evaluate: A B D B C None of the given choices E RIN 2 SST xsin ²(y) dy dx the results is 0…

A: The given double  integral is xSin2y, y from 0 to pi, x from 0 to 2.

Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius

Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

Q: ---2 y=g(x) y=f(x) The graph of f is shown in red, and the graph of g is shown in blue. Use the…

A: Given,

Q: -4 -3 -2 M lowest = middle = highest = 2 N H 1 2 For the above rational function f( x ) = 16x 4x² +…

A:

Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

A:

Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

Q: (1) ſ [ (x³ + 2 + 7 ) dx (3) cos³x dx (2) √ x³ (2) x3 e3x+1 dx (4) sin x sin 2x dx

A:

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Given, f(x)=x3-sin(x)

Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

Q: Determine whether the plane passes through each point. x + 4y - 3z − 1 = 0 (a) (-6, 1, -1) O Yes O…

A: To check if the plane passes through each point we have to put the points and check if equation…