1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: 2. S sin° () dx

A: Integration

Q: xtan dx - y cos xdy = 0 a) Show that this equation is exact if not find identify the integration fac...

A: Let's find. 

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

A:

Q: FInd the Laplace transform of a^t

A: We will formula for integration by part.    

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

A: Given query is to find the rate of change of cost.

Q: (Зл — 1)" 5n /n +1 n=1

A:

Q: 1. f sin³ 4xcos³4xdz

A: To evaluate the given integral.

Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: 9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

A: As per our guidelines we can help you in solving only first problem. Rest of the problems you have t...

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) = 51...

A: Answer: The solution is given below:

Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

A:

Q: Given the differential equation and its initial conditions y" - y' 2y 0 with y(0) = -2 and y'(0) = 5

A:

Q: Determine the line tangent to y = sin x that is parallel to 2x – 4y = 8.

A:

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from t...

A:

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 5...

A: We need to find average and instantaneous velocity. 

Q: * 00 The size of a certain insect population is given by P(t)= 300e OLr, where t is measured in days...

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the v...

A:

Q: machine is rolling a metal cylinder under pressure. The radius of the cylinder is decreasing at a co...

A: Explanation of the answer is as follows

Q: A wooden artifact from an ancient tomb contains 60% of the carbon-14 that is present in living trees...

A:

Q: ability density function over the given interval. Then write the probability density ... (Type an ex...

A:

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point (0,8a)...

A: I am attaching image so that you understand each and every step.

Q: (За — 1)" 5n Vn + 1 n=1

A: Given problem:-

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, –7) and the vector component of v orth...

A:

Q: 1) Write an expression for the corresponding wave moving with a speed of 2 m/s in the increasing x d...

A:

Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: given 2=y+h (x= yz) and h Ct) is continwas そ X. aメ what Is

A:

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

A:

Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,...

A:

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

A:

Q: A chemical substance has a decay rate of 9.5% per day The rate of change of an amount N of the chemi...

A:

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: ++8, Express the answer in rectangular form. (2+3i B. Evaluate the expression () - (). 1+2i

A:

Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: f(x,y)=4-x2-y2To Find:d. The coordinate (x, y) of the highest point of the dome. Why it is the maxim...

Q: The limit of a function exists and is equal to Lif the right-hand limit and left-hand limit both exi...

A: The limit of a function exists and is equal to L if the right hand limit and left hand limit both ex...

Q: Find d'y/dx? given x= t² – 3, y = 2t – 1

A: First I have find the derivative of x and y with respect to t and then calculate the required deriva...

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x - x...

A: Given function f(x)=17+4x-x2   ; [0,5]

Q: 15.

A:

Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: We can find the dot product and other required answers as below.

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

A:

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

A:

Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

A: