V25 - v apa e Jx +4x + 20 xp ck for Understanding

Q: f(x)={x^2-8x+16, if x 3 find a and b such that the function f(x) is differentiable everywhere. (HI...

A: Given the query is to find the value of a and b.

Q: (c) S /2x – x² dx

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Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0 %3D

A: Follow the procedure given below.

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from th...

A: Given that, There is a hemisphere, Radius (R) = 5 m Length (L) = 2 m density of water (d) = 1000 kg/...

Q: 1 2х + 5

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: Suppose that the specific growth rate of a plant is 1%; that is, if B(t) denotes the biomass at time...

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Q: What is the phase shift of F(x) = 3 sin (2x - 4)? 4 right 2 right 2 left

A: Given query is to find the phasse shift of the function.

Q: Estimate the slope of the tangent line to the curve at the given point (-4.5,4.911) on the graph to ...

A: The given point is: -4.5, 4.911   Estimate the slope of the tangent at the given point.

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: 52-56 Find the limits as x → ∞ and as x → 0o. Use this infor- mation, together with intercepts, to g...

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Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What val...

A: solution:-f(x)=4x3+17x2+13x+36x+4     x<-45x2+2x+a                       x≥-4f(x) is continuous a...

Q: Starting with the graph of f(x) = 6ª, write the equation of the graph that results when: (a) f(x) is...

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Q: -2

A: To find the given limits from the given graphs.

Q: (1 point) Use the given graph of the function f to find the folloW 1.(-4) = 2. (-3) = 3. f (0) = %3D...

A: 1) f-1(- 4) = - 1

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: Use the graph to determine the following. 10- a. the function's domain b. the function's range c. th...

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Q: Solve the equation: xdy-ydx=2x³dx

A: Given differential equation is xdy-ydx=2x³dx.  

Q: Evaluate the following triple integral: 3 x x 6z dzdydx

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Q: Evaluate the indefinite integral: ' 5 – 2xe" da =+C.

A: Given query is to eveluate the integral.

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: The temperature of a metal ingot is 60°C above room temperature right now. Twenty minutes ago, 75°C ...

A: This question is based on Newton's law of cooling.

Q: 2x2-3x Find lim х-4 4x3-8х+13-

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Q: use a table to estimate the limit of g(x)= sin2x/3x as x approaches zero. show how to plug in calcul...

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Q: X + |

A: topic - indefinite integral

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p an...

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Q: 3 e3/x - dp- x2 83.

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Q: For problems # 16 £17 to Find the requested derivative Use implicit differentiation ln (x y) x +9 fi...

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Q: Set up the integral to find the volume obtained by rotating the region contained in9 = y = 1, and ax...

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Q: 21. J(X) = 3x² – 4x + 1 - 200 29. f(t) = 2t + 1 t+ 3

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

Q: finding the inverse of matrix a=  1 1 2 3

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Q: Calculate the work W against gravity required to build a cylindrical column of height 6 m and radius...

A: Formula: Weight = mass×gravity ×hight  

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If th...

A: NOTE: Refresh your page if you can't see any equations. . lines are parallel if 

Q: Evaluate each limit using the appropriate algebraic methods. Vx + 8 a) lim- x-1 x+2 b)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: method; Inz VUna)²-y²

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Q: Math 48A/248A Group Work #22-Quadratic Functions (3.1) Names: A farmer wishes to enclose a rectangul...

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Q: The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the atmosphere...

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Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the f...

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Q: Determine whether the given equation is separable, linear, neither, or both. dr 2r = 403 d0 Choose t...

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Q: +x² xp

A: We will evaluate the given integral as shown below

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: /16z2 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? 7 sec(e) 1...

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Q: x² - 3x + 2 17. dx x +1

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Q: The half-life of caffeine is 5.5 hours. You drink a double espresso, which contains 128 mg of caffei...

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Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,...

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the der...

Q: Suppose that R is the finite region bounded by f(x) = VT and g(z) 4 Find the exact value of the volu...

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Q: Calculate the work W in megajoules (1 MJ = 1 ×x 10° J) required to pump all of the liquid out of a h...

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