x (t) = 4 sin t ly (t) = 4 cos t %3D

Q: Evaluate f e 1 dx 3 x

A:

Q: do sed Form ( Formula) tor the eacn part, tind a nth 1- In partial Sum OF the series and determine…

A:

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: Evaluate the following integrals. Please give me complete, neat, and organized solutions and boxed…

A:

Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

A:

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A:

Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

A:

Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

A:

Q: 3. Solve equition system with Given function and using matrix representation: 3-x+ 3-y+ 4-z= 7 x -…

A: Given

Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

A:

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

A:

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: For the polynomial, one zero is given. Find all others. P(x) = x3 + 4x2 - 10x + 12; 1+ i О А. 1-і, 6…

A: Topic: Finding roots of a cubic polynomial

Q: R is the region bounded by the lines y = x, y = -x, and x = 1. %3D

A:

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

A:

Q: y = x² + 1 y = 2r- 2

A: Here, from the given figure, the area bounded by the given curves are: A=∫-12∫2x-2x2+1dy dx

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

A:

Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

A:

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

A:

Q: Vnx" 00 3" n=0

A:

Q: please

A:

Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: lim,[-6(x - sin' x)( cscx)] CSC X

A:

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Q2: State and prove the first isomorphism theorem.

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

A:

Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: Direction: Find the antiderivative given the function J (5x + 2)´dx and its corresponding solution.

A: using integration by substitution

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

A:

Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

A:

Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.

A:

Q: if the Flo)==

A:

Q: Limit of a graph. Please explain.

A:

Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: 5- X dy + y dx =X cosx dx dy 6- -zy メ

A: First order differential equation: Consider the first order differential equation…

Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

A:

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

A:

Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

A:

Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

A:

Q: The graph below is the function f(x) 구 -8 -7 -6 -5 -4 -3 \2 -1 -2 -3 -4 -7 of lim f(x) = x → - X…

A:

Q: 4 find f'(3). x2 If f(x) =

A:

Q: 3x2+2 dx 0 2x2+4x+3 In |2| 2 In |3| 2 Option 1 Option 2 In |3| 2 In |2| 3 Option 3 Option 4

A: