L (21 +x+3)dx

Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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Q: Find the area of the region bounded by the curves y = 1/x , y = x and y = 4x in the first quadrant.…

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Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

A: To solve the following problem

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

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Q: 2x x– 3)² A = 6, B = 2 A = 2, B = 6 A= 2, B=-6 A=-2, B -6 A= -2,B 6 None of the Above Other:

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Q: 3 + In?x dx

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Q: 1. Sketch a single graph of a function f(x) which satisfies all of the following the limits and…

A: The function satisfies,f-3=1, limx→-4f(x)=-1, limx→2-f(x)=-∞, limx→2+f(x)=∞, f'(4)=0f(2)=2,…

Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x? b.…

A: area under the curve

Q: y = sin3x

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Q: Change the order of integration. f(x, y) dy dx Jo

A: 0≤x≤10≤y≤xRegion bounded by:x=0, x=1y=0, y=x

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure -690 degrees?…

A: To find a positive and negative angle co-terminal  with a given angle , you can add and subtract 360…

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

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Q: Show your work to determine the derivative of f(x) = (-1/x2 + 1/2 x2)(√x - 3x4). Do not simplify…

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: Find the volume of the solid generated by revolving the region R bounded by the graphs of the given…

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Q: Find the derivative of the following function by applying the appropriate derivative rules. f(x) =…

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r'(t) for the given value…

A: Find derivative of position vector then we get velocity vector then put the given value

Q: 7. 1 (x dy – y dx) = 0 %3D x² + y²

A: Here, the given DE is: 1x2+y2(x dy -y dx)=0...(1)

Q: 14th term of the following geomnetric sequence. Find the 1. 2, 4, 8, 0. 昌 唱

A: Use geometric series concept

Q: 1. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A: The solution is given in the next steps.

Q: sec'xdx

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Q: Inx 6. lim,

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Q: Determine the vector field of F. F(x, y) 3D 6і — 2)

A: GIVEN :                  F(x,y) = 6i - 2j.           ------(i)  We have to determine the vector…

Q: o<×くT ② Foのコ 2 [:

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Q: d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Given the curve v = x3 – 3x find the stationary or turning point

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: 7. Consider the function f graphed below. 2 -4 4 -2

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Q: Find V · (V × F), if F(x, y, z) = 6e²*i+ 5xe"j – 2ev³k. %3D -

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Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

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Q: Find the equation of the tangent plane to the graph of f(x, v) = In (17x² – 14y²) %3D at the point…

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Q: In the year 2000, the population of a small city was 47,000. The population grows at a rate of r(t)…

A: For the following problem,

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: This question is related to Functions, we will solve it using given information.

Q: 22. The power series £4, (x – 3)" converges at x = 5. Which of the following must be true? n=0 (A)…

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Q: Find V. (V × F), if F(x, y, z) = 5e"*i+ 6xe®j– 2ek. V · (V × F)

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: For nEN, simplify: 1 +1+2+ +4+ +8+ 금+ 1 .+2"-1+ 2n-1 (A 2" - 21-n+1 2" +2-n 2n - 2-n 3 D 22n - 23-2n

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Q: Find div F and curl F if F(x, y, z) = 3e*"i – cos yj+ 7sin? z k. %3D div F= curl F=

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Q: Find the general solution of the differential equation. dy = xy + 3x dx

A: To find the general solution of the following differential equation.dydx=xy+3x

Q: Find an arc length parametrization of r(t) = (e' sin t, e' cos t, le') r1(s) = (|

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Q: Find V· (V x F), if F(x, y, z) = 7e"*i+ 9xe"j – 8e"²k. V· (V × F) =

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Q: The answer above is NOT correct. Use calculus to find the volume of a cap of a sphere with height h…

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Q: 3+ 12x4 – 7x +x³ a) lim 2л2 — За3 + х — 424 3x3 +x – 4x4* - -

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Q: The velocity of a car is v(t) = 42(t - 2)(t - 4) miles per hour on the time interval [0, 4] hours.…

A: We need to find distance traveled by car.

Q: Determine the amplitude, period, midline, and phase shifts of the function. Then write the equation…

A: Given problem:- Determine the amplitude, period, midline, and phase shifts of the function. Then…