Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

Q: Find the surface area of the figure. 10 m 4 m m

A: SOLUTION-

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Q: A cup of coffee is removed from a microwave. Its initial temperature is 199 degrees. After exactly…

A: In the given question: A cup of coffee is removed from the microwave, θ1=199∘C After 11 minutes…

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A: The integral is consist of area under two straight line and one semi circle

Q: Consider the equation below. x² + y² - 2x - 8y - z + 17 = 0 Reduce the equation to one of the…

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Q: Derive a Differential Equation that is free from arbitrary constants: y = C₁x + C₂e-*

A: Here is the solution:

Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

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Q: Use the IVT (intermediate value theorem) to show that the given polynomial f(v)= 2v2 + 3 - 3v has a…

A: Here we have to use the intermediate value theorem.

Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: answer the following questions about curves defined by parametric equations. Make sure to include…

A: solution is given below..

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

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Q: Match the equation with its graph. x² + 2z² = 1 X* x.

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Q: Maximize the value of the function A=4xy subject to x + 4y = 48. DO NOT answer any of the following…

A: Answer and explanation is given below...

Q: Use the tabular method and the properties of limit to find the limit 1) lim 2 X-0 х (²)

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Q: How to know if an equation is a solution to a first order differential equation? Please give clear…

A: To explain how an equation is a solution to a first order differential equation.To use the following…

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 21 cosh 5 11 -…

A: I have to answer two parts in this question.

Q: If F(x) = 5x/(1+ x2), find F'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: Solve the following differential equation:    4y'' + 12y' + 9y = 0

A: we have to find the solution of given differential equation.

Q: Use the tabular method and the properties of limit to find the limit X 1 1) lim 2 3 X-0 ()

A: limx→02{13)x =2 since,  limit f(x)= L exists. By Tabular method property  -- limit f(x) exist and is…

Q: Match the equation with its graph. x² - y² + z² = 1 XX ZA N XK N

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Q: then m = (q²b²³) 1/10 9-1/261/5 = and n = qmbn 1/10

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Q: Bounds

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Q: For the constant numbers a and b, use the substitution z = a cos² u + b sin² u, for 0 <u<, to show…

A: This question can be solved using the concept of integration by substitution.

Q: Find f'(a). f'(a) = f(t) = 8t + 44 t + 7

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

Q: Use the tabular method and the properties of limit to find the limit lim ex-4 X→4

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Q: The base of a solid is the region enclosed by a circle having a radius of 7 cm. Find the volume of…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: Find the gradient off and then evaluate the gradient at the point P. a. f(x, y) = x/y, P = (2, 1).…

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Q: G(x)= x³ +3x+2 x+2 [[x]] + 1 -1-x-21 - 4 x+3 + 1 x-r if x<-1 if -1 ≤ x 1 if xz1

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Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: Find the partial fraction decomposition for the following rational expression. 2y³ + 19y2 + 48y +63…

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Q: 2 S √√x²1 (2x² + 2x) dx -

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: 2 1. Find y' of tan(x²y4) = 3x + y²

A: The given differential equation is tan(x2y4)=3x+y2

Q: Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.

A: Topic = Area

Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

Q: Evaluate the integral. 5 1³w² w² In(w) dw

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Q: waluate the triple integral III. zdV where E' is the solid bounded by the cylinder y² +29 and the…

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Q: Show that xzxx+yzxy = y²Zyy if z = xy + yln(xy)

A: To prove the given result find zxx,zyy,zxy and substitute in the given equation.

Q: x Find z, if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t =

A: Here Given z = xyexy  Now to Find zt means Partial derivative of z with respect to t. Also given x =…

Q: The absolute maximum value is (Use a comma to separate answers at x = as needed.) The absolute…

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Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…

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Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: we need to find out thr dimensions that will minimize the surface area

Q: Match the equation with its graph. y = 2x² + z² XA ZA XA ha

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