Find (2x+3y)dA where R is the parallelogram with vertices (0,0), (1,4), (5,3), and (6,7). R Use the transformation x = u +5v, y = 4u+ 3v

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: 9 Consider the function f(x) = 3x³ + 6x6 – 7x³ – 5. - An antiderivative of f(x) is F(x) = Ax" + Bx"…

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Q: Find the surface area of the part of the plane z = 5 + 6x + 4y that lies inside the cylinder x² + y²…

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Q: Find LV LV₂ hpæp(¿h+¿x)uis hæ

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Q: 1. Find all critical numbers of f(x) = x³ ln(x). (a) e5 only (b) e-1/5 only (c) e and 1 only (d) e…

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Q: =x2ex-4 show that dy/dx= 2xex-4+x2ex-4

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Chapter 7. Find the LaPlace transform. L {t6 + e-6t} 6! A) / + C) - / + -|- S+6 1 s+6 B) 6! gl + D)+…

A: Given that ℒt6+e-6t

Q: The supply function for a product is given by p = q +340, and the demand is given by p + q = 450.…

A: p=q2+340 .......(i) p+q=450 p=450-q ........(ii)

Q: The function f(x) = 2x³-42x² +270x-3 has two critical numbers. The smaller one is x = and the larger…

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Q: Find Use the transformation = -10 (4.2 + 2y)dA where R is the parallelogram with vertices (0,0),…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Evaluate So ry ds where C is the right half of the circle x² + y² = 4

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Q: Use the method of corners to solve the linear programming problem. Minimize C = 5x + 7y subject to…

A: x+3y≥154x+y≥16x≥0y≥0

Q: Find the equation of the line tangent to the graph of f(x) = -x³-4x²-1 at x = -1. Provide your…

A: given  f(x)=-x3-4x2-1,  at x=-1

Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

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Q: Find the directional derivative of the function f(x, y) = ln (x + y³) at the point (-3,2) in the…

A: The given function is:f(x, y)=lnx2+y2Given point is:  P=(-3, 2)Direction vector is:  v→=-2, -3

Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: But why if the min/max point is (k^2,0) , it is not a minimum or maximum points?

A: For a function f(x) , function is maximum/minimum if  f'(x)=df(x)dx=0-----1…

Q: Solve the following equation: x 242x = 0 X =

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Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

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Q: Two partners agree to invest equal amounts in their business. One will contribute $10,000…

A: We need to calculate Amount after 5 years

Q: 1. Evaluate each integral by first making an appropriate substitution. 9x² 16x3 (a) fx(x² - 1)¹ dx…

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Q: Find the volume of the solid above the rose curve - 3 cos(20) but below the sphere centered at the…

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Q: What is the common ratio of the geometric sequence? tn 40 35 30 25 20 15 10 5 Or=2 Or=1/12 O r = -20…

A: Terms of Geometric sequence,

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) 63 =…

A: arctan(x) = csc-11+x2x

Q: can you please annotate this and show all working out

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

Q: Use the like-bases property and exponents to solve the equation 2n+1 2³n-3 n = =

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Q: Given (a) (b) [³F(x) dx evaluate each definite integral. f(x) dx = 8 and f(x) dx = [ r3 6 nd [*1(x)…

A: To evaluate the following integrals.

Q: Use the identity 43 = 64 and linear approximation to estimate the value of (3.8)³. (a) 64.96 (b)…

A: NOTE: Refresh your page if you can't see any equations. . it is given that,  so choose the equation…

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

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Q: A company produces two different grades of steel, A and B, at two different factories, 1 and 2. The…

A: Let Then the problem can be summarized as follows:   Factory 1 Factory 2 Required Grade A…

Q: Find the indefinite integral. x6 - 2x dx X 6 •x-2x st st -dx =

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Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: For angle \theta in the first quadrant, sin\theta =(2)/(3). What is the value of cot\theta ?

A: Sin(θ)=(2)/(3) θ is in first quadrant  We have to find cot(θ)

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: Just as two points are two pieces of information that uniquely determine a line, a quadratic…

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Q: Find the volume of the region under the surface z = ry² and above the area bounded by x = y² and x +…

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Q: (b) Find f given f'(x) = 10 · decimal approximations.) √1-x² + 3 and f(1) = 3. (Leave answer in…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given that , rt=2ti+etj+e-tk , t=0

Q: 5) Given h(x) = √√√8+x (a) Find the linearization of h at a = 0. (b) Use the linearization from…

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Q: 14) The velocity function (in meters per second) for a particle moving along a line is v(t) = 18 -…

A: Displacement:- straight line distance between starting and end point of particle, so can be…

Q: Let f(x) = ln(x5) ƒ'(x)= = f'(2) =

A: Let fx=lnx5 To find f'x and f'2.

Q: Find the first partial derivatives with respect to x, y, and z. w = x7yz2 + xy − 4yz

A: Find the first partial derivatives with respect to x, y, and z. w = x7yz2 + xy − 4yz

Q: Find d dx -(7 ln(x))

A: We know that derivative of ln(x) is 1/x

Q: 1. If y = √√√x. Find y" X₁

A: To find the higher derivative of y(x).

Q: If f(x) = 3 arctan(7x), find f'(x). Find f'(3).

A: Given that

Q: F Rewrite the integrand in terms of u so that the integral f(u) = X √3x² + 10 da takes the form…

A: Integral using u-substitution

Q: 5. Find the arc length of the spiral r=0 from 0=0 to 0=27.

A: Arc length for a function of the form r=rθ from θ=θ1 to θ=θ2 is given by ∫θ1θ2rθ2+r'θ2  dθ.

Q: Find T5(x): the Taylor polynomial of degree 5 of the function f(x) = sin(2x) at a = 0.

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Q: 25. y = √x, y = Answer 9 1 3x, -x, 0≤x≤ 16

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