Find the tangent plane to the equation z = 5y cos(6x4y) at the point (4,6,30) Z=

Q: Find the most general antiderivative of the function g(x) where 1-√x+2x4 (a) g(x) = x2 (b) g(x)=2e*…

A: (a)

Q: Use cylindrical coordinates. Evaluate JJJ. √x² + y2 dv, where E is the region that lies inside the…

A: Triple integral having √(x2+y2) dv  Region x2+y2=9 and plane z=3 and z=4

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

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Q: Use the graph to find each limit. graph of f(x) -5 -4 کا -2 In the first blank, find X In the second…

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Q: 1 = sin(y²) dy dx 0 2x Consider the following double integral: 1) Sketch the region of integration…

A: Given, ∫02∫2x4siny2dy dx We need to sketch the region over which the integral is being evaluated and…

Q: Find the function f(x). 15 COS(EZ) 3 r5 * ƒ(x) dx = [In(x) · cos

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Q: (b) L-¹{12} 8²-68+12}

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Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: 5. The elevation of a path is given by ƒ(x)= x³ −5x² +30, measured in feet, where x measures…

A: We have to find the average value of the function f(x)=x3-5x2+30 for 0≤x≤4

Q: Find the limit lim (z,y) → (0,0) Along the path y = x: lim (z,y) → (0.0) Along the path y = - x:…

A: Find the limit  lim(x, y)→(0, 0)11x3+sin3y5x3+y3

Q: Evaluate ∞ ∑  4(1/2)ˆ(x-1) x=2

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Q: Find the area bounded by the given curves. y = x² - 13 and y = 2 - 14x² square units Find the area…

A: We have to find the area bounded by the curves.

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Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √4x…

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Q: der (volume V = r²h) has a constant volume of 100 cubic feet. If its height is second while the…

A: Topic:- application of the derivative  as we know that volume of the cylinder is  volume V = π r2h…

Q: Lucky Dog Daycare will be enclosing a 1,200 square feet outdoor area. The enclosure will be a…

A: Length of the Pine Board fencing and Steel fencing, so that the total cost would be minimum.

Q: Don't understand how this is put over

A: The volume of the cylindrical shell with width dy and radius x is defined as, dV = 2πh(y)r(y)dy…

Q: Use the binomial series to expand the function as a power series. State the radius of convergence:…

A: (1-x)34 The binomial series states that for any real number r and any complex number x with |x| <…

Q: ction represented by the power series. En ².s B ²-8 +8

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Q: Find J₁ (3x + 2y)dA where R is the parallelogram with vertices (0,0), (4,-4), (3,2), and (7,-2). R…

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Q: 1. Evaluate the integral using substitution. TC/3 π/6 cos*x sin x dx

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Q: A manufacture has been selling 1500 television sets a week at $390 each. A market survey indicates…

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Q: Given that A (0, 1) is a critical point of the function f(x, y) = x² - 8x² + 3y² - 6y. Then: a. A is…

A: fx,y=x4-8x2+3y2-6y

Q: The graph of f' is given below. 2 -2 2 Then f has a local maximum at x = 1. O True False + . f'(x) 6…

A: Graph of f'(x) We have to find at x=1 f has local maxima  or not

Q: a) Differentiate the function f. Use the form lim h40 f(x+h)-f(x) h f (x) = 5x ² + x + t'(x) = =>…

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Q: is the set of all real number except f(x) = x +4 x + 2 and its range is the set of all numbers…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 ≤…

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Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

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Q: ■ If y = Σº。 (k + 1) x²+³ then y² = 0 k=0 k=0

A: The function is given by y = ∑k=0∞k+1xk+3 To determine: The first derivative of the function.

Q: 320(1.6)* for x using logs. X =

A: We need to find value of x.

Q: I. Find the inverse of f(x). Determine the domain and range of f(x) and f '(x). . f(x) 2. f(x) 1. =…

A: As per our guidelines we are supposed to solve only 3 subparts of a question please repost the other…

Q: 1. Find parametric equations for the following curve. Include an interval for the parameter values.…

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Q: Find the solution of the following initial value problem. 1 1 3 v'(x) = 8x - 8x ; v(8)=52, x>0 The…

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Q: Speedometer readings for a vehicle (in motion) at 6-second intervals are given in the table.

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Q: 3. Let f(t) be a continuous function defined for t with 0 < t < 8.5. (8 pts) Approximate the…

A: The integral, I = ∫242 f(2t)dt x = 2tdx = 2dtAt t = 2, x = 4At t = 4, x = 8 I = ∫48f(x)dx

Q: 8. Find an equation of the ellipse shown below centered at the origin. (-4,0) 5- 4 3 2+ 21 (0, 0)…

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Q: f(x) = √100 – x². Express with interval notation, using U for the union of sets and inf for ∞.…

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Q: Suppose the volume of a tree is given by V=1c²h where c is the circumference of the tree in meters…

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Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

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Q: 2x cm b) Show that the volume of the cuboid, V, is given by 675x² 2 Figure 2 Figure 2 shows a cuboid…

A: The volume of a cuboid with length l, width w and height h is given by V=l×w×h

Q: Limaçons: 8) Graph by making a table of values: a. r= 4+2 cos e 90° 0 r 150° 180° 210° 120° 240°…

A: We have to draw the graph of the following

Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

A: C is the positively oriented square with vertices (0,0),(3,0),(3,3), and (0,3). Line Integral…

Q: 2. A particle moves in the coordinate plane with position vector (x(t), y(t)) such that x(t) = t² -…

A: Position vector of the particle:x(t), y(t)=t2-4t+3, 4-5t+3t2

Q: Let f(x,y)=sin(xy)+xsiny be a function of variables of x and y such that x=²+² and y=in. Then ef at…

A: Given: fx,y=sinxy+xsin ywhere x=u2+v2 and y=uv.We need to find dfdu at u=0 and v=1.

Q: Sales analysis. The rate of change of the monthly sales of a newly released football game is given…

A: The rate of change of the monthly sales of a newly released football game is given by  S'(t)=…

Q: Setup (but do not compute) the definite integral needed to calculate the area of the shaded region…

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Q: What are the characters of the following series, respectively n²2-1 4n-1 00 n=1 00 #1 n+2 m=2 A)…

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Q: Find the average value of the function over the given interval. f(x) = ex/4 on [0, 4] Find the…

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Q: That was not the answer it was 6730.77

A: Given : Future value = $7000 Rate = 8 % = 0.08 time = 6 months = 6/12 year = 0.5 year   To find :…

Q: Problem 4. Find the area of the surface of revolution generated by revolving the plane curve y=2 x…

A: We need to find surface area of given curve.