If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a > 0, then exact value of Cos (¤) is

Q: 20. Evaluate: 2x²Vx3 + 1 dx:

A:

Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Here, note that the cartesian to spherical coordinates conversion is given by: x=ρsin ϕcos θy=ρsin…

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A:

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: How much will person pay for 4.5 pounds of banana at a price of 2.29$ per pound?

A:

Q: Verify that the vectors a = (2, 5, –1) and b = (3, –1, 1) perpendicular. а. are

A:

Q: Find a function y = A sin (B(x – C)) with the period a, phase shift 2, and amplitude 7. There is…

A: The general equation of sinusoidal function is: y=AsinBx-c Where,  A= Amplitude T=2πB=period c =…

Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: 13. Evaluate the given integral, ſ t (t² – 9)i: A. (1² – 9)* + e 3 . (t2 -9)호 + c В. 3 C. · (t² –…

A:

Q: A. S', f(x)dx = B. If the vertical red shaded area in the graph has area A, estimate: a f(x)dx = -3…

A:

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

A:

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

A:

Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

A:

Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

A:

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

A: Apply Leibniz test for convergence

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

A:

Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

A:

Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

A:

Q: A juice company wants to sell juice in 444-ml containers. How much packaging would be saved by using…

A:

Q: Simplify sec(arcsin ). no solution O (3V5)/5 O (2 V5)/5

A: Solving the problem by finding the value of the expression.

Q: amplitude: period: phase shift: 6.

A: Follow the procedure given below.

Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

A:

Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

A:

Q: Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.3x –…

A:

Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

A:

Q: dx

A: We will use substitute method to solve this integrate

Q: Find the derivative of each function defined as follows: 1. y (2x3 + 9x)5 2. f(x) = -7(3x* + 2)-3 3.…

A:

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

A:

Q: y =x, 4x + y =12

A: Let's find.

Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

A:

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y'…

A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

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

A:

Q: fosc 4 2. csc* xdx

A: I =∫ cosec4x dxI =∫ cosec2x cosec2x dxI =∫ (cot2x+1) cosec2x dxcot x = t-cosec2x dx = dtcosec2x dx =…

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j + tk; t = 2 (), T. %3D ||

A: r(t)=(2 cos(t), 2 sin(t), t)r'(t)=-2sin(t), 2cos(t), 1r'(t)=4+1 =5T(t)=r(t)r'(t)T(t)=15-2sin(t),…

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: Which expression gives the length of the curve y = 4x from x=1 to x = 4 ? 4 (A) [ 4x°dx (B) |V1+4x…

A: Given query is to find the expression for length of the curve.

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

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

A:

Q: Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms…

A:

Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…

Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

A:

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

A:

Q: Scot'x csc'xdx 4.

A:

Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: Calculate the angle 0 between vectors a and b when a = i – 2j + 2k , b = 2i + 3j + k %3D

A:

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.