Below is the graph of y = x +5. 20- 15 10- -4 -3 -2 -1 0 1 The area bounded by y = x +5 and the raxis from x = -3 to x = -1 is

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

A:

Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

A:

Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

A:

Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

A:

Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

A:

Q: x*dy+ (2.xy – y² }tx = 0 Let the substitution y=²; y=vx; dy=vdx+ xdv v = =

A:

Q: Suppose Ris the region bounded above by the graph of f(z) = 1+ 6z – z² and below by the graph of g(z...

A: Given:     f(x) = 1+6x-x2       g(x) = 6/x

Q: A rectangular storage container with an open top is to have a volume of 10 m³ . The length of the ba...

A:

Q: 5 The function f(x, y) = | x' cos is homogenous inx and y of degree

A: Given that: f(x, y)=x2cos2yx-y2+x3y

Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

A:

Q: Write out (but do not compute) 5 other iterated integrals that are cquivalent IT [ f(r,y, 2)dz dz dy...

A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy  

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

A:

Q: 1 2e*dx where e = 2.7183 0.

A:

Q: Find an equation of the line tangent to the graph of G(x) = 7 e -5x at the point (0,7). The equation...

A:

Q: Question 7: Evaluate v² dv (Reimann Method)

A:

Q: elect the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ...

A:

Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

A:

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

A:

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: Let f be a differentiable function. If f(50) = 378 and f'(50) = 6, use a linear approximation to est...

A:

Q: e2x +2e* dx e* +1

A:

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

A:

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

A:

Q: Find the domain and range Vx+1 1- y = 7 х-1 2 - y

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

A:

Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

A:

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: We need to find center of mass.

Q: 1419857* -dx 4913*

A:

Q: 2e3 Evaluate 1- eT

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

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: d²y dy Solve: x2 dx2 + 3x+y = 4 cos (In x³) dx L: L:

A:

Q: INSTRUCTION: Solve the given differential equation below by undetermined coefficients. y" + 6y + 9y ...

A:

Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

A:

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is incre...

A:

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: Median Home Prices The median home price in a certain country over the period January 2010-January 2...

A: Given:- Median Home Prices The median home price in a certain country over the period January 2010-J...

Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0 ...

A:

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

A: