In 45

Q: (a) write the area under the graph of the given function defined on the given interval as a limit. T...

A: we have,

Q: Find the remaining angle(s) and side(s) of each triangle,if it (they) exists.If no triangle exists,s...

A: A=100°,  a=5  &  c=2 By using Sine rule, we have asinA=csinC⇒5sin100°=2sinC⇒sinC=2·sin100°5⇒sinC...

Q: Calculus Question

A: →∫f'(x)dx = f(x) + c→We have to evaluate the integral over [1,3]. So, find f(x) in interval [1,3[.→E...

Q: The volume of the solid generated by revolving the region bounded by the curve y = cos x, 0<xs4 abou...

A: Volume of revolution

Q: Lļe";" ]=...

A: L(t^n) = n!/s^(n+1) L(t^97) = 97!/ s^98 L(e^at(f(t))) = Lf(t-a)  

Q: Determine the integral by quadratic functions: 10x dx 4x2 – 8x + 9

A: Given: ∫10x4x2-8x+9dx

Q: Does the Divergence Theorem apply to surfaces that are not closed?

A:  By Stokes' theorem:

Q: Coastal Soda Sales has been granted exclusive market rights to the upcoming Beaufort Seafood Festiva...

A:

Q: In the given question, find the average value of the function over the given interval? f (x) = sin n...

A: One of the major regions where definite integral fund their applications is determining the average ...

Q: How many are in A or B?

A: According to given figure total numbers in A and B will be nA=15+3+5+2=15+10=25nB=3+5+2+10=10+10=20

Q: T2 -82 I+8 Simplify: 82 I-8 0 6 O z-8 Or+8 O 8r O 64

A:

Q: The area of the region enclosed by the graphs of y = x - 2x -9 and y =x-9 is square units.

A:

Q: At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time be...

A: The mean value theorem:

Q: Sketch the line and find Cartesian equations for it.   r cos (u - pi/4) = (2)^1/2

A: Given, rcosθ-π4=2

Q: d*y dy a. Find the particular integral of differential equation +3 +2y = cos 2x +4– 2x. dx? dx

A: We have to find particular integral of given differential equation. 

Q: Which of the following has the same graph as r = 1 - cos u? a. r = -1 - cos u b. r = 1 + cos u  .......

A: Givenr=1-cosuTo check which of following graph is equivalenta)-1-cosub)1+cosu

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: A. Detemine the volume of the solid generated by revolving the region bounded by the graphs of the 1...

A: use formula

Q: Let $c$ be a critical number of a function $f$ that is continuousinterval, except possibly at $c$, t...

A:

Q: The integrating factor of + 2.xy= 5x² is dx dy а. b. x2 e 2 C. 1 d. et

A:

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or in...

A: limx→7x-7x2-49

Q: Investigate the convergente of the following series! O Eo 2n3 +n2 1 ο Σ le". Ο Σ 3" Ln-1 n32

A: according to our terms and condition i have solved first 3 parts for next parts repost

Q: Find the remaining angle(s) and side(s) of each triangle,if it (they) exists.If no triangle exists,s...

A:

Q: Use the limit process to find the area of the region bounded by the graph of the function and the x-...

A: gy=12y,   2≤y≤4 The graph is,

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: lim * +1 X-1

A: Given that the limit limx→∞ x+1x-1 To evaluate the limit

Q: Sexe

A:

Q: For each given set, determine if the set is finite or infinite. If finite, give the cardinality. Set...

A:

Q: Make up an applied problem that requires using the Law of Cosines.

A: Here, our aim is to make up an applied problem that requires using theLaw of Cosines.Let us consider...

Q: 3x 0 6 - 6 find x if 3x 1 5

A: Given that 3x003x=6-615 find x  

Q: Evaluate the integrals

A: ∫01∫0x2∫0x+y2x-y-z dz dy dx

Q: Find the second derivative:

A: Given that x=tt-1,y=t2t2-1. Compute the first derivative. dxdt=tt-1'=t't-1-tt-1't-12=-1t-12dydt=t2t2...

Q: In Problem,two sides and an angle are given.Determine whether the given information results in one t...

A:

Q: Use the properties of logarithms to expand the logarithmic expression.

A:

Q: Marked out of 1.00 P Flag question Question 9 Not yet answered If f(x,y)= 3x'y+5x, then дхду %3D O a...

A:

Q: find the domain of the function y= sqrt(x+1) / sqrt (4 -x^2)

A: Square root is defined for positive values only Denominator should not be 0

Q: Establish each identity.

A: Take left hand side of the equation sin2θ+sin4θcos2θ+cos4θ=tan3θ and use the formulae mentioned belo...

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is inc...

A: Given function is fx=x2-6x+5. Critical numbers of a function is the point where its first derivative...

Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

A:

Q: メ12

A: To evaluate integral ∫x3-4x+4x+2dx Substitute u=x+2, du=dx, ∫x3-4x+4x+2dx=∫u-23-4u-2+4udu           ...

Q: At time 1= 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the...

A: R(t) is the rate at which sand is being used from the tank at time t.  So, its integration with resp...

Q: The end plates of the trough shown here were designed to withstand a fluid force of 6667 lb. How man...

A:

Q: Find the surface area of z = f(x,y) over the region R. z = xy, R= {(x, y) : x² + y² < 9} x° +

A:

Q: The solution of the compound inequality 5< 5z-7<10 is 17 о 12 O 12 17 -2 17 O 17 17 5 indows bu VI V...

A: Solution: The objective is to solve the given inequality

Q: Midpoint Rule

A: Assume that f(x) is a continuous on [a, b]. Let n be a positive integer and ∆x= b-an. If [a, b] is d...

Q: Show that the equation has exactly one real root. 2x + cos(x) = 0 %3D

A: Our Aim is to show that the equation 2x+cos (x)=0 has exactly onereal root.

Q: Find the area of the region Inside the cardioid r = a(1 + cos u), a &gt; 0

A: Given  r=a1+cosu, a&gt;0

Q: Find the area of each triangle.A =50°, C = 30°, c = 3

A: A triangle is a polygon with three sides. Given two angles of a triangle and a side opposite to one ...

Q: If the number of elements in a set is a nonnegative integer,we say that the set is_______

A: Finite sets- A set with finite number of elements is known as finite set. The number of elements in ...

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the f...

A:   We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the g...