Q: Select the best answer. cot A sin 2A =
A:
Q: 4 81-72sin²0+16sin*6 do S sin 20 de 1–2cos²0+cos40
A: Let I=∫sin2θ81-72sin2θ+16sin4θ1-2cos2θ+cos4θ4dθI=∫sin2θ92-2*9*4sin2θ+4sin2θ21-2*1*cos2θ+cos4θ4dθI=∫s...
Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...
A:
Q: Solution of ODE: Find the solution for the following ODE y'=2y
A: Topic - differential equation
Q: Determine whether each of the following functions is (a) continous (b) differentiable. Show a comple...
A: Determine whether the function is a) continuous.b) differential.show a complete solution. 1.f(x)= x^...
Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0
A:
Q: Graph the function y = |4x – 8|. %3D
A: Given query is to graph the indicated function.
Q: Find the equation of the line tangent to the given curve at x = a. Use a graphing utility to graph t...
A:
Q: x-2y+3 3. The differential equation is reduced to [homogenous or separable]. dx 2x+3y-4
A:
Q: Assume the following: lim f(r) = 3 lim g(x) = = 12, and lim h(x) = -3. %3D Compute the following lim...
A: The given limits,limx→cf(x)=34, limx→cg(x)=12 and limx→ch(x)=-3
Q: Determine whether a given function is homogenous or not homogenous: f(x,y) = tan^(2y/x)
A:
Q: goond L ) - 6
A:
Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...
A:
Q: Calculate the integral approximation S12 for Si dz. 5+1
A:
Q: 10. Se** x? dx A C. 2 e* + C ex + C 3 e** + C e** + C O A Ов Ос OD OE None 112 1/3
A: We can evaluate the given integral by using the substitution u = x3 and the following formula.
Q: 8 EXIF W-f Cxr g), X=2u+3 V 9. y -3u - 2V »Provethat wuv bw xX+5 wXy-6WYY 10 11
A:
Q: 2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f whic...
A:
Q: Elimination of arbitrary constants.
A:
Q: Given: cosg= sin x = - 12, A is in the third quadrant, and x is in the fourth quadrant; evaluate tan...
A:
Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices
A:
Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9. %3...
A: Since you have posted multipart questions i can do first three subparts as per our company guideline...
Q: 1 dx Evaluate: , V1-x2 1-x² O T/3 none of the choices O T/6 O T/2
A: Given query is to find the value of the integral.
Q: Solution of ODE: Find the solution for the following ODE y' = 2y O y = ce2r O y = 2ce"
A: Topic - differential equation
Q: = - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate tan 29 24/5 24/7 12/13
A: Here we will find tan2θ,
Q: Determine whether ivergent.
A:
Q: In Exercises 17–18, differentiate the functions. Then find an equation of the tangent line at the in...
A:
Q: Find the area that are bounded by: y=x2+5x and y=0 from x=−2 to x=1.
A: Given: - The curves are,y=x2+5x and y=0 from x=-2 to x=1 To find: - The area that area bounded by gi...
Q: Consider the equation ze^(xy) + x^(2)yz + 2xy − z^2 − 5 = 0. Assuming that z = f(x, y),find ∂z∂x . S...
A:
Q: 1 dx 2. 0 (2x+1)Vx²+x
A:
Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...
A:
Q: 2. STO Find the length of the graph of y = 2+ In(sin z) om the interval [7/4, 7 /2].
A:
Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...
A: Increasing decreasing
Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...
A:
Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4 E(-1)*+1...
A:
Q: Evaluate the integral. 3. Vx² + 9 dx V x2
A: Evaluate the integral of √(x2+9) from 0 to 3.
Q: Evaluate the instantaneous rate of change: (Please solve using Limits only) A spherical balloon is ...
A:
Q: If s(t) = 4t3 – 6t² – 24t + 5, represent the position of a particle traveling along a horizontal lin...
A: I am going to solve the given problem by using some simple calculus to get the required result of th...
Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)
A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ
Q: x-2 3. Evaluate the integral S (t3 In t i + 3t³ sin (t*) j+ x(x+1) k) dt.
A: Integration: - Integration is the process of finding the anti-derivative function of the given funct...
Q: In Exercises 17–18, differentiate the functions. Then find an equation of the tangent line at the in...
A:
Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A
A:
Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...
A:
Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a h...
A: Angle of elevation
Q: Find all critical points for f(x) = x³e-2#. We want (x, y), both a and values.
A: Topic:- application of derivatives
Q: If s(t) – 24 – 3tť² – 12t + 6, represent the position of a particle traveling along a horizontal lin...
A:
Q: f) =e find the equation for the tangent line to f(x) at =0 For the toolbar, press ALT+F10 (PC) or AL...
A: To find the tangent to the following curve
Q: 2x2-13x+20 d) h(x)= (x-1)²
A:
Q: 2. Given the graph of y =f (x)below, on the same set of axes draw a graph of y - 2 (x -1)-3 transfor...
A:
Q: cos(a
A:
Q: X-2 if x s0 2. Draw a sketch of the graph of the function f(x) = - and evaluate the following limits...
A:
Absolute Convergence
Step by step
Solved in 4 steps with 3 images
- If an event consists of three stages, where the third stage can happen in n ways and the first and second stages can each happen in m ways, then the complete event can take place in x ways, where x is equal to...a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)2.A machine puts out 16 imperfect articles in a sample of 500.After themachine is overbauled it turns 3 imperfect articles in a batch of 100.Has themachine improved?
- When the health dept. tested private wells in a county for 2 impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 30% had impurity A, 40% had impurity B, and 10% had both impurities. If 20 wells are randomly inspected from those in the county, find the prob. that 10 had neither impurity, 4 had impurity A, 4 had impurity B,and 2 had both impurities (rounded odd to 4 decimal places).. A. 0.0001 B. 0.1011 C. 0.2900 D. 0.9990For the random variables X,Y Cov(X,Y) = -0.9 if Z=3-X then what is Cov(Z,Y)=???Suppose X1, X2, ... , Xn is a random sample and Xi = {1, with probability p 0, with probability 1-p} for every i = 1, 2, ... , n. Find the Moment Generating Function of ∑i=1n Xi . What is the distribution of ∑i=1n Xi ?
- 4. If H0 is true, then the proportion of left-handed girls must be the same for the proportion of left-handed boys. Determine Chi square statistics. (write the result .XXXX) 5. If H0 is true, then the proportion of left-handed girls must be the same for the proportion of left-handed boys. Determine Chi square statistics for alpha of .05 (write the result in X.XXX) 6. Conclude and discuss the resultsSuppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blue, and 5 white balls. If we let X and Y denote, respectively, the number of red and white balls chosen. Solve for P(X=2).
- Suppose each of 1000 players face a challenge in which a Bernoulli trial is repeated until the first success, that each attempt is independent of the others, and the chance of success on each attempt is p = 1/1000To the nearest whole number, how many of the 1000 players will achieve the first success within 1000 attempts, on average? THE ANSWER IS NOT 1, 500 OR 1000on solution 3 the probablity that tails would appear on both coins is 14?What if ∃n ∈ Z+ not ℤx+?