4. When the graphs of two functions intersect the angle of intersection is defined as the angle between their tangents at the point of intersection. Consider the following functions y = Asin?x and y = (E + D)cos2x. a) Determine the point of intersection of the curves algebraically for 0

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

A:

Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

A:

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

A:

Q: The inflection point of the function f(x) = x³ – x² + 5æ + 1 is: (금, 꽃) 70 3 (-3, – ) 70 (-;, ) 27…

A:

Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

A:

Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: I need to find the rieman sum not the area

A: Left Riemann sum is same as the area of the rectangles with the left endpoints on the curve.  From…

Q: 2. The graphs of ƒ and g are given. Use them to evaluate each limit, if it exists. If the limit does…

A:

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x

Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: 24. The plane that contains the line x = 1 + t, y = 2 – t, z = 4 – 3t and is parallel to the plane…

A: To find out equation of plane first we change the equation of line in symmetrical form then find out…

Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: Find by implicit differentation; Dthat the tangent to the eclipse x =1 at %3D Point (TorYo) is LoX…

A:

Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – 5 in [-1,4] is: -4.5,…

A: Find your answer below

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

Q: Given the area of the region enclosed by y = 4 – x and y = -x+2, identify the integral that…

A:

Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

A:

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: dx

A: We will use substitute method to solve this integrate

Q: Using the identity sin? 0 + cos² 0 = 1, find the value of tan 0, to the nearest 2 hundredth, if sin…

A:

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

A:

Q: The x-intercepts of y = x2-4x-5 are: O a. (-5,0) and (1,0) O b. None O c. (-5,0) and (-1,0) O d.…

A:

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

A:

Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

A:

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

A:

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: ° Fis defined by f(x)%3D 2°(x + 4) on increasing (enter intervals in ascending order)? ion is…

A:

Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

A:

Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: Use synthetic division to divide. -4x3+ 23x2- 31x+ 12 4х — 3 -16x2+ 12x+ 16 -4x2- 12x+ 16 -x²+ 5x- 4…

A:

Q: 'ind the linear approximation of F(N) = AK N, about N = 1 %3D

A:

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

Q: Scot'x csc'xdx 4.

A:

Q: Find and classify the critical points of f(r, y) =r³ - 6ry + y³. %3D

A:

Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

A:

Q: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

A: