complete

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: y - 4y+ 4y = 2t2 + 4te2t + t sin2t

A:

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

A:

Q: (2x + ) dx + ( – 2y) dy = 0 12. (2х + 1+x?y², 1+x²y²

A:

Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

A:

Q: 1) Determine the value of c such that the function is continuous Vx E R. Show and explain in…

A:

Q: please

A:

Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

A: This question can be solved using the concept of factorization.

Q: dx 7. Find the general solution to y+ 2x = 5y³. dy

A:

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: x²(3 – 4x)dx 2 -4 |

A:

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

A:

Q: Evaluate the integral: So V1+ 8xdx 3 *Input answer as a decimal. Round-off to 2 decimal places.

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

Q: Evaluate the integral: *Input answer as decimal round-off to 2 decimal places.

A: Given problem:-

Q: 3 dx 2 х2+1

A: Given problem:-

Q: S. 14 V1 + 7x dx

A:

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A: This question is based on indefinite integral.

Q: 2. Detemine if the ollowing integral converges or diverges. If the integral converges, find its…

A: Given problem:- Determine if the following integral converges or diverges. If the integral…

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: This is a problem related to permutations and combination. Based on the general formula and concepts…

Q: Verify if y = 2eX + x - 1 solves v' = x -v |

A:

Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

A:

Q: Evaluate the integral: V1+ 7xd *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the integration.

Q: The limit lim (x c 1 X• COS is an indeterminate form of type 0· o. Select one: True O False

A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

Q: Find the area of the region between the curves 4x + y? = 12 and z = y. Area between curves =

A:

Q: Find the velocity and acceleration vectors in terms of u, and ug- r=5 sint and 0= 5t = (5 cost) u, +…

A:

Q: Q4) Find the largest eigen value for the matrix 1 2 A= with x" (0) =(7/17 1) 5 4

A: simply find eigen value of the matrix A , two eigen value of the matrix

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

A:

Q: y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

A:

Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A:

Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

A:

Q: Circle

A:

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

A:

Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A:

Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

A:

Q: 1 erivative of x²+2

A:

Q: 81. Area Find the area between the graph of y = sin x and th line segment joining the points (0, 0)…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0

Q: tan z If f(x) = then f'(x) is ? z² – 1) soc? z (z² – 1)° O (2? - 1) sec²(x) æ – 2 (tan(æ)) 2z tan z…

A:

Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

A:

Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

A:

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…