Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or y. Find the area of the region bounded by 2y = 4vx, y= 4 and 2y+ 3x = 7.

Q: c =

A:

Q: the given point Find the gradient of the Function at 3x² -5y2 + 2z² (1,!,-2) %3D

A:

Q: Determine the value of x of: (x² – 1 x < 1 f(x) = { x – 1 .2 x21

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

Q: component form or standard basis vectors. Express numbers in exact form.

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

A:

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: (3х-5) 9. lim x--1+ x+1

A: This is a question of limit of the function. First we will try to convert this function into most si...

Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

A:

Q: csc5x cot5x dx 5csc5x (A csc5x B csc 1 -csc5x 3 В 1 -csc5x 3 D csc5x None

A:

Q: lim +2-3t メー→3 十-3

A: Topic:- limits

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h-0 h...

A: Given :f(x)=x3f'(x)=limh→0 f(x+h)-f(x)h

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 + x2 - x + 1, [-2, 0]...

A:

Q: Determine if the given function is continuous at 3. * x² + 3 f(x) = {3 – 4x (x – 12 x< 0 0< x< 3 %3D...

A: Given the query is find function is continuous or not at x = 3.

Q: Find the extreme values of f(x, y) = x² + y² + 4x – 4y inequality x? + y² < 9. on the region describ...

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

A:

Q: What is the volume of a cylinder

A: volume of a cylinder

Q: 5. Discuss real world quantities that the circulation of a vector field around a closed loop could m...

A:

Q: Consider the series (-1)"(2x+ 3)". n=0 (a) Find the series' radius and interval of convergence. (b) ...

A:

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: 27 dx 1 - 8 ,3 II

A:

Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

A:

Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

A:

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: x-'In²(Ine*) dx A Inx B Inx C Ine" D Inx2 E) None

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys. 2

A: Given query is to setup the integral for the length of the curve.

Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

A:

Q: Suppose a consumer lives in two periods, with his income in period 1 as $100 and his income in perio...

A:

Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) = x +xy +y- 12x +2 o...

A:

Q: Solve: |x + 1| > 4 Give your answer as an interval. Question Help: D Video M | Message instructor Su...

A: Topic:- algebra

Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Find the radius of convergence and the interval of convergence. 00 k +2 Radius of convergence: Inter...

A:

Q: 3x (2) Determine the inverse of the function ƒ(x)= 2x -5

A:

Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

A:

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + ...

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: Find the horizontal intercepts of the function f(x) = 5|x – 1| – 6 The intercepts are at x =

A: Here we will find the x-intercepts of the given function,

Q: 3. Evaluate

A: The given integral is 1/(x-1)2/3 limit from 0 to 3.

Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: 12x2-5x+7 6. lim x→+0 V9x²-7x+13

A: This is a limit problem of the function. First of all we will reduce the function into most simplifi...

Q: Find the directional derivative of the function in the direction of the unit vector u = cos e i + si...

A: This question is based on del operator.

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

A:

Q: A spherical balloon is inflated with air flowing at a rate of 15 cm/s. How fast is the radius of the...

A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

A:

Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of th...

A:

Q: Find an approximation to V11 using 4 steps Bisection Algorithm

A:

Q: k! CO %3D 104k

A: Given Series ∑k=0∞k!104k

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

A: The solution of the problem is given in the next steps.