The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find g(9) and g'(9). g(9) = g'(9) =

Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

A:

Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

A:

Q: The original question did not put it right. it was (5overx) 5/x If  f(x) = 3x + 4 and g(x) =5/x

A:

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

Q: 1. | 37 2 T 2 cos² 4x dx

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

Q: Use spherical coordinates to find the volume of a ball with radius R(in other words, use spherical…

A:

Q: ydx+(x-y)dy=0

A:

Q: 2. ∞ Σ Find the sum of the convergent series: n=1 1 4n2 –1

A: Find the sum of the convergent series 1/(4n2-1) from n= 1 to infinity.

Q: dr de sin - r- cos + eª cos = 0

A:

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

A:

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: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: The given inverse laplace transform is L-16s-1s22We have to find the appropriate algebra .

Q: etric identity. (Write your answer as a function of s.)

A:

Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

A:

Q: 1) Find all intercepts and test for symmetry. y = 3√9-x

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: Using the Limit Comparison Test with the geometric series -17, to 8 67 determine if the series given…

A: Limit comparison test -  If we have two series ∑n=1∞an and ∑n=1∞ bn and limn→∞(an/bn) is finite and…

Q: mine the area of the given region. y = x + sin x 4 X 4 A 3 2- +

A:

Q: 3. 4. T 2 S² 0 π COS X /1 + sin x dx s sinx + 2 cos x dx

A: The objective is to find the integral.

Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

A:

Q: Where is f' = 0 ? at a What are the values in the closed interval [-1.2, 1.5] where f' undefined? at…

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: find the angle between the pair of vectors to the nearest tenth degree 7i-5j,2i-8j

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

A:

Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

A:

Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

A:

Q: ENAS X dx 1+419x

A:

Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…

A: We have to describe the transformation and mapping rule.

Q: 4) Find the equation of the line (slope-intercept form) passing through (-1, 3) and a) Parallel to…

A:

Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

A:

Q: a. given the functions f(x)=cosx and g(x)=sqrt 10+x determine the value of g(f(pi)) options : sqrt…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1 cosa + sin æ sin y = sin 3y (³) COS (2) for all az and y such that x + y = 2

A: Given: LHS:            12cos x+sin x sin y=12cosπ2-y+sinπ2-ysiny=12siny+cosysiny=sin2y+siny2=122…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

A: To find the curl of the given vector field F

Q: Find the minimum and maximum of A over a particular interval [0,6]. -1. The graph of y = f(x) is…

A:

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

A:

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: (2xcot(x) csc²(x)) dx

A: Given problem:- ∫2xcotxcsc2xdx

Q: S(67² - 4t + 3) dt

A:

Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A:

Q: Use the Ratio Test to determine if the given series is absolutely convergent or divergent. (6n)! ∞…

A:

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A:

Q: find the avg rate of change for the function over the given interval find the avg rate of change…

A:

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: a) Let f(x)=-3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A:

Q: A breeding group of foxes is introduced into a protected area and exhibits logistic population…

A:

Q: Evaluate: L- 2s 1 2-2s = Blank 1

A:

Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: 2,0 Va Find the formula for f. f(x) = 0

A: