5t4 dt Vto +2

Q: Find the derivative of the function. 3 ew r = 8w dr dw II

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

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

A:

Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: Solve the following

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

A:

Q: n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

A: Please refer to the image below

Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

A:

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

A:

Q: The polar coordinates of a point are given. Plot the point. 57 T/2 T/2 3 2 2 -3 -2 -1 1 2 3 -3 -2 -1…

A:

Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

A:

Q: Find The directed distance of The curve Lit Vittz

A:

Q: 3. ху3 — ху %3D у y'

A:

Q: 5. S (16z³ – 14x + 6) dæ

A:

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A:

Q: S(x² – 1) Vx + 4 dx 4.

A: 4.∫x2-1x+4dx

Q: If 2n+3 a %3D 5n+8

A:

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx)+ (Inx)* + = 9

A:

Q: Find all critical points of the function f(x) = sin-'(x) – 8x for –1 < x < 1. (Use symbolic notation…

A:

Q: 2 and v2 = -2 3 be -2 Work Problem 2": - - - ;): Let v1 = two vectors in R². (a) '- ; Determine…

A: Given that,v1=2-2 and v2=3-2

Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

A:

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

A:

Q: What will the domain be, could you state the domain?

A:

Q: dy - 3y = 0 dx 16. Solve the first order linear differential equation: А. y = e* + C В. у3 Сезх C. y…

A:

Q: 1 n =1 (2n- 1)4 M8

A: Integral test

Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

A:

Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

A:

Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

A:

Q: Give an example of a differential equation  and  classify according to   order, degree ,linearity…

A: answer is in next step

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

A:

Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

A:

Q: Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as…

A:

Q: - If v1, v2 are 2 vectors in a vector space V such that 0 = 4v1 – 2vz. Then{v1, v2 } are linearly…

A:

Q: BE-8- 1 (a) [. . | Determine if the vectors 0 and 1 span R° 3 (b;. | Can these three vectors form a…

A: (a)Her,e the matrix generated by the vectors is: 1000512-23

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

A:

Q: 19 Four different roads from Town A to Town B, and three different roads run from Town B to Town C.…

A: We will Break this question into two parts.

Q: Give the range of the function f(x) = -x 2. all reals y ≤ 0 y ≥ 0

A: The given function is: f(x)=-x2

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

A:

Q: The integral of the given function f dx is equal to a. 0.116 b. 0.611 с. О.117 d. 0.161 e. None of…

A: Here we have to find the definite integral.

Q: 23 Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(5,5) tan0 =…

A:

Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Evaluate the following limits: (1) lim (V +1- V). x→+∞ |2² – 1| (z^ – 1+8^) (ii) lim x-1 x – 1 x<1

A: Limits

Q: What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

A: We can solve as follows

Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1