(c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

Q: 11 X N

A: here , we have graph of function f , then we have to find the interval in which function is concave…

Q: Mary Toy borrowed $4,000 from her parents and repaid them $4,160 after 9 months. What simple…

A:

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: Evaluate the definite integral. Round to 4 decimal places. [.. dr x√Inx

A:

Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: Find the first 4 terms of the Maclaurin series function f(x) = Log (1+x), then give an estimation…

A:

Q: Obtain the solution. problem (t-2)x- the following initial value of -xc 2(t-2)²

A: Compare with linear differential equations then solve

Q: A force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: Given that, Force required = 6 pounds to hold spring streched 0.6 feet beyond its natural length. To…

Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4 + 12…

A:

Q: If total costs for a commodity are given by  C(x) = 850 + 30x  and total revenues are given by  R(x)…

A:

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

A:

Q: A firm has the​ marginal-demand function D′(x)=−1200x/root 25−x2​, where​ D(x) is the number of…

A:

Q: Solve by separation of variables: dy dx y²-4 x²-1

A: According to our guideline we are supposed to do the only first question if you want any particular…

Q: assume that Dr. Kim decides to purchase a car which is selling for $55,000 today. She needs to make…

A: Given query is to find monthly payment.

Q: x = 2+² +4t The position of an object at time t is given by the parametric equations y = 3t² + 5…

A: given  x=2t2+4t  and y=3t2+5formula used is  horizontal velocity =dxdtvertical velocity…

Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

A:

Q: Consider the initial value problem for function y given by, y" — y' - 6 y = 0, y(0) = -4, ▾ Part 1:…

A: Solve the following

Q: answers

A: We have to find the equation of the tangent line according to the given information

Q: 2x²y² {** x² + y² 0 (x, y) = (0,0) (x, y) = (0,0) continuity to determine whether the given function…

A:

Q: To test this series for convergence n n=1 √n² +6 You could use the Limit Comparison Test, comparing…

A:

Q: Find the area between the graph of y=5-5x^(2/3) and x-axis and [-1,8] using the properties of…

A:

Q: if f'(x)=7x^2+5x and f(1)=5, find f(x)

A:

Q: 5. Compute the following integral: 1/4 /2 16th [*²2² π/4 cos(2x + 3y) dydx

A:

Q: This answer is incorrect. Can you try again?

A:

Q: Find the point on the graph of the function f(x) = √x that is closest to the point (30, 0). 59 (2)…

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: For the function f(x) = 4x 4x -4x+8, f

A: Given: f(x)=4x4-4x3-4x2+8

Q: Given the geometric sequence: 22, 88 352 " 15 225' Find a10 = ... Find an explicit formula for an,…

A:

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1 So…

A: we need to find out the given integration by interpreting in the areas.

Q: The position of an object in meters at t seconds can be described by the position function s (t) =…

A:

Q: Two sides of a triangle are 8 and 11. Find the size of the angle 0 (in radians) formed by the sides…

A:

Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

A:

Q: When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂,…

A: we can calculate the height  using the time interval 0 to 62 by the using the above data

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: We can evaluate the absolute maximum and absolute minimum value by using the concept of derivatives.

Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x=5t²+2t _y=2+²+4

A:

Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

A:

Q: Evaluate the following (if possible) (a) (tan-¹ (2x)) (b) lime-1 X x →0 d dx 2x² +5 x→∞ 4x² - 5.x…

A: (a)   we know that dtan-1xdx=11+x2

Q: 1 for convergence, you can use the P-test. (You could also use the √4 k=1 Integral Test, as is the…

A:

Q: - After finding the critical values of f(x, y) you compute D(x, y) = fxx fyy – fxyfyx and evaluate…

A:

Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: It's wrong

A:

Q: Find the quadratic function f(x) = ax² +bx+c that goes through (3,0) and has a local maximum at…

A: Given that a quadretic function f(x)=ax2+bx+c that goes thorugh (3,0) and has a local maximum at…

Q: lifted to the top of a 25 meter tall building by a rope with density 0.1 kg/m. However, the bucket…

A:

Q: Q1. Find the vector function r(t) given that r(0)= i+2j. and r'(t)= (2et, 3t², 4 cost)

A: The given data is: r0=i+2jr't=2et, 3t2, 4cost Find the vector function rt

Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

A:

Q: Find the indicated element of the given matrix. 1 13 206 -3 8 106 0 19 b23 = B

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: 1) What is the average value of f(x)= e2x over the interval [-5,-2] tan x-sin x 2) Evaluate i) lim-…

A: As per guideline only one question is allowed to solve if multiple question is asked in single…