Find the equation of the tangent line = 14x +y at (2₁-32), to the curve 3√xy 35 3√/xy

Q: Find the area under y = 4sin(x) + 4cos(x) and above the x-axis from x = 0 to x = π/2. Leave your…

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Q: Evaluate the definite integral. re64 dx e x√In(x)

A: Given: ∫ee64dxxln(x) Let I = ∫ee64dxxln(x) We will solve this integral using integration by…

Q: 7 Let f be the function defined by f(x)= 2x² +5x-3 Part A: Use partial fractions to evaluate f(x)…

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Q: Let C be the positively oriented closed plane curve consisting of the line segment from (-3,0) to…

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Q: The scrap value of a machine at the end of its useful life is given by S(n)= C(1-r), where C is the…

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Q: 11,13 The expression log Alog(z) + Blog(y) + Clog(2) where A= can be written in the form B= and C=

A: Given Logarithmic Expression log( x13y13z16 ) Formula used log( xy ) = logx - logy log( xy ) = logx…

Q: Find the local linear approximation of g(x) = e-*sinh() at x = 0 and use it to estimate the value of…

A: To find the local linear approximation of gx=e-x sinhx2 at x=0  and by using it to estimate the…

Q: Can anyone show me a full solution for this calculus word problem? Can you please write in…

A: It is given that we have rectangular field.

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. In x lim…

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Q: Solve: logr z 1 125 (Enter as an integer or as a reduced fraction.) B = <=f The polynomial 49x¹4…

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Q: Solve the following homogeneous differential equation: 2y4+ x1 Kya =

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Q: Test.QuestionSheet State the domain, vertical asymptote, and end behavior of the function. Enter the…

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Q: f(x) = x³ ex

A: Maclaurin series

Q: The region bounded by f(x) = -4x² + 20x + 56, x = 0, and y = volume of the solid of revolution. Find…

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Q: Use the Curl Theorem to find the surface integral over the positively oriented upper hemisphere S:…

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Q: Approximate the area under the curve y = with 4 subdivisions. from = 0 to 2 using a Right Endpoint…

A: we divide the interval [0,2] into 4 subintervals [0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2] The width of…

Q: or So 17 + dt Find the first three terms in the power series for The first three terms of the power…

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Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two…

A: Card board with measure 60cm by 180 cm

Q: Q9 Integrate the following: (a) √5x(x²-3x + 1)dx (b) f(12e4x -+2) dx

A: Important formula to answer the questions÷ ∫xndx=xn+1n+1+c ∫1xdx=lnx+c ∫eaxdx=eaxa+c

Q: [ 4xex dx

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Q: Given that = (3,-3) and 7 = (4,1),

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Q: Q14 Find the equation of the tangent line to f(x) = 3lnx - 5x at x = 1.

A: We have to find the equation of tangent at the given point. First we will find the y-coordinate of…

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: Use the Divergence Theorem to find the surface integral F.ds across the positively- S oriented…

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Q: M Ja The function graphed above is decreasing on the interval

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Q: 8. A circle is centered at the origin, with a quarter of the circle shown in the diagram below

A: We can obtained the various 3D figures by rotating the 2D figures The shape and size of the 3D…

Q: Use the graph of f'(x) to discuss the graph of y=f(x). Organize your conclusions in a table and…

A: The graph of a derivative function is given. We have to find the increasing, decreasing and local…

Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log, (a") +log, (122³)…

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Q: Find the work done by the constant force F = 5i +2j - 3k in moving an object in the space on the…

A: 2. According to question,Given Force,F = 5 i + 2 j - 3 k,Given Points P1, 2, 3 and Q1, -1, 4

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 5. Find values for F(4) and F(7) 2 1 -1…

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Q: Evaluate the integral. Show that the substitution x = √14 sec (0) transforms I into cos(0) dº, and…

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Q: 125 125 Suppose that a₁ = 29 and b₁ = -22. Compute the sum. i=1 125 i=1 -16a₁ + 11b;)

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Q: Find the area of the region enclosed by y = 3x and x = 3-y². Use horizontal strips to find the area,…

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Q: 1 Σ"=1+z+z²+z³+¹+... It is known that on its interval of convergence. n=0

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Q: Ha area Use apolar double integral to find the enclosed by the three-petaled rose r=sing ansi- A =…

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Q: Consider the vector field F = (2xy³ − y sin x)i + (3x²y² + cos x)j (a) Determine whether F is…

A: F = (2xy3 - y sin x)i + (3x2y2 + cos x)j

Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the…

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Q: Evaluate 4 1 (4- x)2/5 dx correct to 3 decimal places.

A: We have to find the value of the integral: ∫041(4-x)25 dx

Q: 1 ex+e-x dx

A: we have given integration ∫1ex+e-xdx

Q: 1) Solve the following differential equations a) y'=x¹/²(y+y¹/2) b) ty+y=t¹/2

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Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

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Q: Let s(t)= ael-² be a function for the position in millimeters of a particle as a function of time in…

A: Let position function denoted by s( t ) velocity function denoted by v( t ) acceleration function…

Q: 29. p = 200 - x 2x

A: Given question  29. p = 200 - x2x

Q: x² 1- x6 dx

A: Explanation of the answer is as follows

Q: Calculate the arc length of y=x²-½ln(x) c over the interval [1, 2e]. (Use decimal notation. Give…

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Q: The inverse demand function faced by a firm is P = 3.75e-0.40, where P is price and Q is quantity.…

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Q: Hiw Find the Volume of the solid bounded the cylinder x² + y² = 4 and the planes y +2. and Z=0 ?…

A: x2+y2=4=r2 y+z=4⇒z=4-y z=0 x=rcosθ y=rsinθ 0≤z≤4-rsinθ 0≤r≤2 0≤θ≤2π

Q: Use the linearization L(3,-2) (x, y) of f(x, y) = −x²y— xy² near the point (3, −2) to approximate…

A: fx,y=-x2y-xy2

Q: The marginal cost for printing a paperback book at a small publishing company is mc(p) = $0.011 per…

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Q: Suppose that R is the finite region bounded by y = x, y=x+4, x=0, and x = 2. Find the exact value of…

A: The region bounded by y=x, y=x+4, x=0, and x=2. We have to find the volume of the solid when the…