Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

Q: 8. f₁(r + 1)²dr Hint: square first

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Q: Problem r7 ¯7² xVx² - xVx² 0 + 1 dx

A: Topic:- application of integration

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: The water level inside a cylindrical tank (height 12 ft) is 2 ft below the top of the tank. If the…

A: Explanation of the answer is as follows

Q: s Given : 1 value of AB 3 A 72 40 8x + 1 20 3 280 3 4x - 3 dx. If we let the substitution" = 4x-5 ,…

A: To find out the required answer.

Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the gradient field of the function g(x,y,z) = 8xy + 2yz + xz. Vg= (Type your answer in terms of…

A: We have to find the gradient field.

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: -3 4 For the matrices A = 2 1 -11 2 Determine whether the matrix 6 7 A The matrix is not a linear…

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Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

A: we have to graph the given polar coordinates. let r is on x axis and theta on y axis.

Q: 2. Limx cosx x-o sinz sin²x

A: The given limit,    limx→0x2cosxsin212x

Q: y = log₂ (1+x²)

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Q: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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Q: y = x3 – xẻCOSX + 2xsinx +2coSXX

A: derivative

Q: tan² y = x (By implicit differentiation)

A: The given equation is tan2y=x.

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: 5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the…

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Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: 5. Given z = arctan (+), Find az/ay

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Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

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Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry

Q: Fill in the blanks the information needed to make the solutions correct.

A: 1)∫23(t3+5) dt2)∫12(x2-x) dx

Q: solve the following problems. Draw the necessary figures for each. The area bounded by the parabola…

A: The area bounded by the parabola y2+x-2y=1, the x‐axis, and the line x=2, revolves about the x‐axis.…

Q: B. The vector = (4, -2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

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Q: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: B. Find the general solution of the following 2nd order differential equation: y*+2y+2y=0

A: The given second order homogeneous differential equation is: y''+2y'+2y=0 Therefore, the auxiliary…

Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: The current population of a certain bacteria is 2849 organisms. It is believed that bacteria's…

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Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

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Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: (c) Show that the function is a solution of the differential equation (−1)" x2n f(x) = Σ (2n)! n=0…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A: We want to find slope at the point x=25

Q: Problem 7 Ső S xvx² + 1 dx

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Q: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

A:

Q: :S- 8x + 1 √4x-3 dx. If we let the substitution "=√√4x-5, the resulting integral Given : becomes Ⓒ =…

A: The integration of the integral is (8x+1)sqrt(4x-3).