Given below are descriptions of two lines. Line 1: Goes through (3, 29) and (−3, −25) Line 2: Goes through (5, 53) and (−8, –64)

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: Using inverse matrices to solve the system of equations what are: 1. matrix A 2. matrix B 3. matrix…

A:

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: 3. Evaluate: 5x² - dx {2 Decimal places} Type. U = S

A:

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

A:

Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

A:

Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: Find a formula a,, for the n-th term of the following sequence. Assume the series begins at n = 1. %…

A:

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A: f(x)=-9x2.

Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

A:

Q: Factor the polynomial (x − 3)(x + 6)² – (x − 3)²(x + 6). Your answer can be written as A(x + B)(x +…

A:

Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: f(x) = x + 1 X

A:

Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

A:

Q: ƒ(x) = x + 1 X

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

Q: SLO A. Evaluate definite and indefinite integrals graphically, numerically, and analytically, using…

A:

Q: A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu- ray players…

A: marginal cost =c = 0.04xx =DVD/Blu- ray players DVD/Blu-ray players were produced 7x +800marginal…

Q: If the local Linear approximation of f(x) = -2 sina+e-2 at 3 is used to find the approximation for…

A:

Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A:

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: a = (-2,4), b = (-1,2), what's the projection of a on b?

A: We know that the formula projection of A on B is  (A.B)/|B|

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

A:

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

A:

Q: Estimate S M₁~ e -x2 dx using the Midpoint Rule with n = = 4, correct to 5 decimal places.

A:

Q: Graph a vector, opposite to the given vector, that has an initial point at the origin. 2 8 + T…

A:

Q: Find the average value of the function f(x)= xex² over the interval [0,2].

A:

Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

A:

Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

A:

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

A:

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

A:

Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

A:

Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 20.sin(x), a =…

A: Here we have given a function: fx=20sinx, a=π2 So, here we need to calculate the Taylor Polynomial…

Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

A:

Q: Determine a definite integral that represents the arc length of = 2 cos(8), 0 ≤ 0 ≤ H2 2 do

A:

Q: Compute the integral f/4 tan² (x) dx.

A:

Q: 2. The table gives the values of a function obtained from an experiment. Use them to estimate f(x)…

A: