1. The graph of a function y = a/b(x-h)+k shown below. -1 -40 Algebralcally determine two different equations to represent this function. Hint: One equation should have a horizontal stretch and the other a vertical stretch.

Q: Consider the function f(x) = 3 sin (). Construct the interpolation polynomial which interpolates the…

A:

Q: I c exists in (0, 1) such that f(c) (1)- f(0) 1-0

A:

Q: Problem 2: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt,…

A:

Q: Q2) Convert the polar function r tan20 to cartesian.

A:

Q: 8. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: f. (x, y, z) b. f, (0,1,2) а.

A:

Q: find the rational number represented by the repeating decimal. 0.451141414

A:

Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: Express the shaded area of the region shown below by double integrals of order of integration (1)…

A:

Q: Q2/ Fit a second -order polynomial to the data in the following table: 5 1 4 2 Y 2 8 3 4 -1 4 6.

A: We need to find quadratic equation.

Q: Evaluate the triple integral. SSSE2.xy dV , where E lies under the plane : = 1+x + y and above the…

A:

Q: n(A U B) = 55, n(AN B) = 15, and n(B) = 35 %3D Find the value of x A 15 y

A:

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

A:

Q: Matrix Operations [2 1 3 3 If A = and B = find: 0 1 2 2 -1 6. ЗА - 2В 8. -5 (A + 2B) 7. А+2(В — A)

A: The given matrices,   A=2-13012 and B=-13-12-11

Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

A:

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

A:

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: ) Evaluate f'(x)dx.

A:

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Law of sines : sin Aa = sin Bb = sin Cc Given  ∠A=38.8°,  a=182.4,  b=248.6

Q: *) dx Evaluate:

A:

Q: Is Rolle's theorem valid for the function f(x) = Vi-x on the segment [-1,1]? a. No since the…

A:

Q: 5. In antidifferentiation, the formula J x" dx : + Cis valid if? (n+1) C. ne {0,1,2} A. nER 6. In…

A:

Q: Let f be the function defined by ƒ (x) = cos( (/T). (a) Approximate the definite integral| f(x) dx…

A: We have to find the definite integral by using midpoint riemann sum and trapezoidal rule

Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 13.…

A:

Q: y = Vx* X

A:

Q: 12x 3 3 15 12 x4

A:

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

Q: For item # 6, use the product rule. 6.) f (x) = (x³ – 1)(4x + 5) %3D | x+3 7.) f (x) = 5х-2

A: Here we have to differentiate the given functions.

Q: Consider the integral 5 x (z° +1) dx. In the following, we will evaluate the integral using two…

A:

Q: Describe the graph of the equation. r = 18 cos ti + 4 sin tj -k O Itis an ellipse in the x = -1…

A: Let's find.

Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

A:

Q: Cha invests Php5,000 in an investment that earns 6% per annum. How many complete years does it take…

A: Given Cha invested(P)= Php5,000Rate of interest (R)=0.06Time (t)=?Amount (A)=Php 10,000We know that…

Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

A:

Q: Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a.…

A:

Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x &amp; x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: Find the centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

Q: :(7e*) cos (4e") dx Evaluate: e cos --cos (3e*) – cos (1le*) + C 22 ® os (3e*) +cos (11e)+c COS 6.…

A: We have to find value of given indefinite integral

Q: / sin*0 d0, factor sin*0 as (sin²o)² sin® and let sin²0 = -(1– cos20). To evaluate A True False

A: Given problem:-

Q: Find the general solution of (2x – y) dy = 2y – x - da

A:

Q: Cha invests Php5,000 in an investment that earns 5% per annum. How many complete years does it take…

A: The given problem is solved below in detail.

Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

A:

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: QI) Evaluate the integral dy dx using polar coordinate

A:

Q: 9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

A:

Q: There are 150 students in the marching band, and 30 of them play the trumpet. Which number line…

A:

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Find an arc length parametrization r1(8) of r(t) = (sin(t), cos(t), t). r:(s) = (

A:

Q: Cara tosses a pair of equally weighted coins 4000 times, and two heads appear 40 times. What is the…

A:

Q: Q3) Evaluate triple integral (x2 - y?)dz dx dy.

A:

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x2 + 16

A: We will use simple Integration rules to solve this question.