A sequence is defined recursively by the given formulas. Find the first five terms of the sequence. an = an - 1 + an - and a₁ = 8, a2 = 3 a1 = a2 = a3 = a4 = a5 =

Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Solve the following

Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

A:

Q: Given sin a = 0.865 and sin = 0.693 with both angles' terminal rays in Quadrant-I, find the…

A:

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A:

Q: If tan(x) Give exact answers. sin(2x) = cos(2x) tan(2x) = (in Quadrant 1), find Submit Question Jump…

A:

Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2

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: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

A:

Q: 2 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars,…

A: Calculus

Q: r = 8 + sin(4theta) Find the area that the curve encloses.

A: We need to find area.

Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute maximum of g(x) in the interval [-3, 3]?…

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 solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

A:

Q: Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1) Find the…

A:

Q: Evaluate the limit lim (x=2^+) = 1/x-2

A:

Q: dx 4+9х2-6х

A:

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: With your pencil, make a dot on the position of your best visual estimate of the centroid of the…

A: Here, from the given data, it is clear that the centroid is on the y-axis. So, the x-coordinate of…

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

A:

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A:

Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = y(0) = -1

A: Here we have to solve the differential equation.

Q: lf ƒ(x) = (3x − 2)² (6x² + 7)³, find ƒ'(x) using logarithmic differentiation.

A: This question can be solved using the concept of logarithmic differentiation.

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

A:

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: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

A:

Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-t²) mi/hr for Osts3 hr.…

A:

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

A: To find inverse Laplace transform:

Q: Use implicit differentiation in finding y'. 1. x² + y² =18xy 2. x²y + xy² = 6

A: Given,x3+y3=18xyDifferentiate w.r.t.'x'(Use product…

Q: Imagine yourself drawing series of equilateral triangles in a given equilateral triangles by…

A: Given: . The perimeter of the given triangle is 24 feet.  Suppose the ink of your pen can print a…

Q: Find the curl of the vector field F. F(x,y,z) = x sin(y) i - y cos(x)j + 5yz² k Part 1 of 3 It is…

A: The objective is to find curl F.

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: If sin a = 0.806 and cos ß = 0.718 with both angles' terminal rays in Quadrant-I, find the…

A:

Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

A:

Q: 。 5 D Yp = = [1 + ( ² + D²)] ¹ (X² + 7 X + 9) 4 4 5 D = - - [1 - ( 2² +2²) + ( + 2)² + +-- 4 4 (x² +…

A:

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…

Q: Question 5 Determine the volume of the solid formed by revolving the area bounded by y=x²-2x and y=0…

A:

Q: Determine whether or not the relation is a function and then give its domain and range in interval…

A:

Q: Use the counting techniques. A bag contains three red marbles, three green ones, one fluorescent…

A:

Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given  C'x=400+12x-0.01x2

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: 2 if x = -4 Select all statements below that you agree with. Note: You may be checking more than one…

A: Please refer to the image below

Q: 1. Зл 2 π 2 cos² 4x dx

A:

Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: Sarah is asked to find the maximum value of a function. Not having a complete understanding of the…

A: If we want to find the maximum or minimum values of a function then follows the steps mentioned…

Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

A: Solution of given question is written in below steps.

Q: please answer with 10 minutes and kindly write the answer neat and clear. thank you

A: Two lines is said to be parallel if the two displacement or direction vectors are multiples of each…

Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

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