6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

Q: company makes computer chips from square wafers of silicon. It wants to keep the side length of a wa...

A: Find your answer below 

Q: Use the following theorem to evaluate the integral / le - 2|dx. -1 Theorem: If f is integrable on a ...

A: Explanation of the answer is as follows

Q: The derivative of the function () y = In is: tan x,

A:

Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

A:

Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: P,Q,R be distinct collinear points with coordinates x,y,z respectively. If x<y<z the Q is between P ...

A: By the ruler postulate: PQ = |y-x| QR= |z-y| PR = |z-x|. But y-x is positive because x &lt; y; sim...

Q: Find F' () if F(x) = 2 cos¯1 Vx.

A: To find out the F'(1/2) 

Q: Current Attempt in Progress Use cylindrical shells to find the volume of the solid generated when th...

A: Here, the region is bounded by the curves y=3x-14,y=-3x+4,x=4 is as shown:

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A: Given

Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: y = ecos²(x) is: eCos? %3D y' = - sin(2x)ecos²(x) y' = sin(2x)ecos²(x) the above the above y' = -2 s...

A: Here we will find the derivative of the given function,

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

A:

Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given: OP→=1,6,-3...

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A:

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Use integration by parts to evaluate the integral:

A:

Q: Find the centroid of the given region. [Give exact answer in fraction form.) y-2- y=x The centroid i...

A:

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

A:

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

A:

Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the abo...

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: 12. y = x2 – 2x + 3, x – axis, x = -2, x = 1 a. 30 sq. units b. 20 sq. units c. 15 sq. units d. none...

A:

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

A:

Q: 3. Use the following table of values to draw the graph of cos x to determine the lim cos x. X f(x) x...

A:

Q: Using an appropriate substitution, cos x-sin x the integral dx equals: 2 cos x+sin x -1 none of them

A:

Q: View Policies Current Attempt in Progress Find the area of the shaded region. The image is not to sc...

A:

Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

A:

Q: why should y>0 ?

A:

Q: 1. To set up wastewater plants and connect the trailer and low-income households to the nation's sew...

A: in this question have to find formula for cost-benefits analysis formula for this we have to substra...

Q: e ( + 4)2 dx = Evaluate the integral if it converges. Enter the exact answer, or enter na if it dive...

A:

Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

A:

Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: 23 Estimate I = (3x + 6x2)dx using midpoints and n 3 subintervals. %3D

A:

Q: Exercise III Let (a) o = x²y +xż and (b) ó = x² + y² + z?. Then, respectively attempt to find the di...

A:

Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

A:

Q: The graph shown below is f(x) = -3x + 2.lf g(x) = Sốf (t) dt , find g '(-1). %3D %3D X 54 3-2 -1 1 2...

A:

Q: C. Based your answers on the figure at the right. 1. [- 5, - 3] 2. (- 2, 0] 4. 3. [- 3, - 1] 3. 4. [...

A: Find your answer below 

Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

A:

Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right li...

Q: Using tabular integration, the integral St"(-2x² + 4x) cos(2x) dx equals: 3Tt 2 – 2 - -1+ 2 the abov...

A:

Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

A:

Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions.