5. 6. (log4(x²) dx x (log4 x)² ORA dx

Q: Set up the definite integral required to find the area of the region between the graph of y = 14-2²…

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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

Q: how do i graph (steps) f(x)=x^2-4x ?

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Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

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Q: find differential equation of the following equation 1) y' = -x y+x

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Q: y = x² and x² = y

A: Area of the bounded region is

Q: Suppose 8 3n f(x) = n! (x - 7) n n=0 7 To determine So f(x) dx to within 0.0001, it will be…

A: We have to find the value of integral.

Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: 3. Evaluate sin rdx

A: The given integral is: I=∫sin5xdx   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Set up the integral to find the area of M, using vertical ectangle. Let M be the region bounded by…

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Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: 4. A population of squirrels is currently measured to be 500 squirrels a. Write a function P(t) to…

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Q: 8 34) 2xe-x² dx <80 A) Convergent B) Divergent

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Q: min

A: Please refer to the image below

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: What is the component form of resultant of 26 - 3ā? à = (2,-3) 6=(-1,5) Enter your answer by filling…

A: Given query is to find indicated vector operation.

Q: In AGHI, h = 9.6 cm, g = 9.3 cm and /G=109°. Find all possible values of ZH, to the nearest 10th of…

A: We have to find the angle

Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function

Q: Find the one-sided limits of f(x). Step 1 of 2: Find lim f(x). x--7 f(x) = -7x-3 -4x² + 4 if x < -7…

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Q: If y(v) = 10 COS 79 72 dr then

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Q: T -2 -1 4 3 2 - -3 1 3. From the above graph of y = f(x), find the following limits: (a) lim f(x) =…

A: (a)  limx→-4f(x)=2   (b)  limx→-3f(x)=-2   (c)  limx→-2f(x)=-3   (d)  limx→1f(x)=infinite

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Given the following matrix equation, which of the following is the correct matrix solution, A? -5 5…

A: We are supposed to find here matrix addition which we will find as.

Q: 2 x 2 sin Evaluate the spherical coordinate integral p² sin dp do de. 00 0 The value is (Type an…

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Q: b) Calculate (i) the following integrals x² (3x³ + 2)²dx

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Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: (D² - 6D+9)y = 0

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the ground.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: 11. S x + 4 x² + 5x - 6 dx

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

Q: The position (ft) of object moving straight line given by 3² = f(t) = + ² + 5+ + 3 where + is in…

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

Q: Vector A) Prove that: V × (F×G) = (GV)F- (FV)G+ F(VG) - G(V-F). m) Find all of the second…

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Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

Q: 6e at x-b First find where the two curves meet. y = 5e" meets y = 6e where b Then Area = - f(x) dx…

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Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

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Q: Step 1 of 4: Find lim f(x). x--3- Enable Zoom/Pan 10 10 -10 Keypad Keyboard Shortcuts Selecting a…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Find the one-sided limits of f(x). Step 2 of 2: Find lim_ f(x). X→-7+ Answer 4 Points f(x) = -7x - 3…

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Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: 3) Find dz dy for z = e

A: Solution: As per given date   z=exy  For finding dz/dy , we assume that 'x' is a constant.

Q: 4) A headboard for a bed is built in the shape of a semielliptical arch. The headboard will be 8…

A: Given; a=4, b=3

Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: Evaluate the following integrals: dx dx ·S b. S √81+16x² √16x²-9 a. dx 49-4x² c. S.

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