Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical strip.

Q: 3 sin³ (tan √x² + 3x²)] dx d [(x²+1) cotx dx 3- cos x csc x

A: To find the following derivatives.i ddx3 sin3tan x2+3x2ii ddxx2+1 cot x3-cos x csc x

Q: Evaluate the integral: fnste" du ds dt

A:

Q: 3 f²f²² ²³ y cos(z³) dx dy dz 0

A: The given integral:∫01∫0z2∫03ycosz5dx dy dz

Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

A:

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: topic- inflection points and concavity

Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: Use substitution to evaluate the definite integral given below. 1.³ (Enter an exact answer.) Provide…

A: We have to solve the given definite integral

Q: You are given the polar curve r = cos(0) + sin(0). (a) List all of the points (r, 0) where the…

A:

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: Define R as the region bounded by the functions f(x): = 3 and g(x) = x + 1 between x = 0 and x = 1.…

A:

Q: Does the following graph represent a function that satisfies the following conditions? f(0) = -2…

A: Here we need to cross check the given conditions are applicable to the graph of the function or not.…

Q: If y₁(x)=e³x and y₂(x)=xe³* are solutions to y" - 6y' +9y = 0, what is the general solution?

A:

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

A:

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

A:

Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

A:

Q: - Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate…

A: This question can be solved using the concept of vectors.

Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (x + tan y) dy = sin 2y dx

A:

Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

A:

Q: For the following system: a) Determine how, if at all, the planes intersect. b) If they do,…

A: Given

Q: [x xf (x²) dx Which integral is equivalent to the one shown: Oa) f f(u) du √uf (u) O b) S 2 O c) […

A:

Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: ع لح ل(۸ + ")APNPLPLg للع(۸

A:

Q: v (2uv²-3) du + (3u²v² - 3+4v)dv = 0 Ov(u²v² +3u + 2v) = c 2 Ov(u²v² +3u-2v) = c Ov(u²v²-3u-2v) = c…

A: We need to solve D.E.

Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: e same overtime Create Workflow xb₂) 5(21 @ (1) The volume of the solid obtained by rotating the…

A:

Q: 2. Which of the following operations is associative on Z? A. a*b = a b C. a*b = a B. a*b = max (a,…

A:

Q: x 1 4. 1 / ₁²+52²+8² dx x² + 5x + 8

A:

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: We have to find the volume of solid generated by revolving the region bounded by 2y = e-(x^2) , the…

Q: Determine the values of r for which the given differential equation has solutions of the form y = t'…

A: To find for what  values of r the given term becomes solution of differential equation.

Q: Evaluate the expression under the given conditions. sin(8 + 9); sin = 159 in Quadrant I, cos pa =-.…

A: To find sin(x+y)

Q: R is the region bounded by the functions f(x) = - +3 an exact answer. Provide your answer below: A =…

A: The given two functions are:fx=-x23+4x3-103 and gx=x23-10x3+103We need to find the area bounded by…

Q: Find a number in [0, 1] such that the difference of one third the number from its cube is minimized.…

A: Let the number be x. Let f(x)= x³-x/3 So, f'(x)= 3x²-1/3

Q: slope

A: Please refer to the image below

Q: Determine the instantaneous rate of change of the function πt ³ √x sin 2 f(x) = LV x3 1 + √t at x=2.…

A: Leibnitz integral rule.

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Point of inflection is the point where f''(x)=0 A function is concave up in the interval (a,b) if…

Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: 1 sinh x cosh3 x √9-cosh² x dx

A:

Q: Be w = (u2 + v2)3/2, where u = e-t sin(θ), v = e-t cos(θ), calculate: ∂w/∂t and ∂w/∂θ

A:

Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

A:

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: Concept: There are two clocks A and B, one clock is broken and another one is normal which means…

Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

A:

Q: x 4 dx (x²+4)² S

A:

Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.