Determine the tangent plane and normal line of the surface z = x + 3e at the point (2, 0, 7).

Q: function f is (-7,-3) and the range of f is 0,5, state the domain and range of f^(-1).

A: Here domain of f is (-7, -3) and range of f is (0,5) To determine domain and rang of f^(-1)

Q: Find the linear approximation of the function below at the indicated point. 38 - x² - 4y² at (5, 1)…

A: We have given function f(x,y)=38-x2-4y2

Q: Evaluate the integral. 1 4л Зл SS S y sin z dxdy dz 000 1 4л Зл | | | ysinzdxdydz | y sin z dx dy…

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Q: The sum of three nonnegative numbers is 36, and one of the numbers is twice one of the other…

A: given sum of three nonnegative numbers is 36 one of the numbers is twice one of the other numbers…

Q: A line's graph is given. This line's slope-intercept equation is If you would like to enlarge the…

A: Equation of line passing through two points ( x1 , y1 ) & ( x2 , y2 ) is given by y - y1 = y2 -…

Q: Let f(x) = x²-7X, 9(x) = sin(x) and P(x) = { *³²³²^(x), *²0 x=0 a) use the limit definition of the…

A: We need to find derivative of given function.

Q: A cattle-breeder has two types of cattle-fodder. The first type contains 60 units of carbohydrates…

A: Cattle fodder of the first type, Cost per kg = 1.5 euros Carbohydrates per kg = 60 units Protein per…

Q: Find if y=e²x + 2ex+x²e + e² dx

A: y=e2x +2ex+x2e+e2

Q: Find the following limit. lim

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Q: Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let's consider the marginal cost function C'(x) = -0.06x + 24. where a represents the level of…

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Q: Find the length of the curve. r(t) = t² i + 9tj + 4ť³/2k, 1≤t≤4

A: Given vector function is: r(t)=t2i+9tj+4t3/2k We have to find length of curve for the interval [1,4]

Q: Find parametric equations for the tangent line to the curve r(t) = (t² +e²t)i + (2+e¯³)j + (t³ −…

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Q: For the following two p-series, state whether it is convergent or divergent and why? ∞ (Α). Σ (Β)…

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Q: Find the differential of the function  G(x) = sq rt (5(x^4)+cos(2^x)).     all under sq root!! :)…

A: Given Function is, G(x)=5x4+cos(2x)

Q: Let F(t) = fF(t)dt ( dt (don't include the +C) Find f(t)dt = Calculator Check Answer

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Q: Work. An open tank has the shape of a right circular cone. The tank is 5 feet across the top and 20…

A: Work = Distance*density*volumeVolume of…

Q: 8. An older sibling stands 12 feet from little brother and watches a balloon tragically rising…

A: NOTE: Refresh your page if you can't see any equations. . for the right-angle triangle use the…

Q: 3ax 2-5e3x -dx

A: Here, we have given integral now we have to solve it by using general formulas of integration.

Q: In the period 1965 to 2003, the rate of increase of health care spending in a country was…

A: Rate of increase of spending, K(t) = dSdt = 36.6t2 + 6790t + 99,000 In the year 1980, t = 1980 -…

Q: Suppose the density of a fluid is given by 6 = 1/p where p is the radius to the origin. Find the…

A: We have to find the total mass inside the unit sphere.

Q: Use the appropriate methods to solve the following integrals. a. So 0.5x e te e2x dx

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Q: b. f(x+5)-1/2 √2+5

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Q: Consider a right cone (pointed downwards) that is leaking water. The dimensions of the conical tank…

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Q: A graphing calculator is recommended. For a camera with a lens of fixed focal length F to focus on…

A: ⇒1x+1y=1F

Q: Find the area of the region bounded by the curves x4- 9x2 and xx3 - 9x between −3 ≤ x ≤ 3. Show all…

A:

Q: to be constructed for use on Padre Island aches. It is to have a back, two square des, and a top. If…

A: The wind shelter have a back , two square side and a top Let the dimensions of the square side = x…

Q: 2. Let f,g: R → R³ be differentiable functions. Show that d dt (f(t) × g(t)) = d d f(t) × g(t) +…

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Q: K A train is traveling at a velocity of 88 feet per second when it hits its brakes. It slows down at…

A: NOTE: Refresh your page if you can't see any equations. . here we have u=88 ft/s (initial velocity)…

Q: Let f(x) = x² + x³ + 2x. Find (f-¹)' (4).

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: given function f(x,y)=xy3-x2

Q: Find the differential of the function. m = p5q7 dm -CL Dap + ( dp dq

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Q: Evaluate the limits u DR in words): ΔΔΔ Tim DX-40+ [(tan 2x)^ ] = 7.

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Q: Find the angle between the vectors v = i + j and w = i + k. (Give an exact answer. Use symbolic…

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Q: In a town whose population is 3000, a disease creates an epidemic. The number of people, N, infected…

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Q: If f (x) = ln x, then lim I-3 А B D In 3 nonexistent f(x)-f(3) is

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Q: The graph of the function f(x)= 6x²-kx +3 2x²-3x will have a point of discontinuity if k is

A: if 2x-3 is factor of 6x2-kx+3 then function will have a point of discontinuity at x = 0

Q: 5dv 7e +3

A: The given integral is 5/(7e-v+3).

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. In n…

A: The given series ∑n=1∞ln nn. Using the limit comparison test, we must determine whether the series…

Q: Find the interest rate needed for an investment of $4,000 to triple in 10 years if interest is…

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Q: Find the derivative of the following ок a) y = sin ² (x) b) y = €² ex 7 () Y= x² + √x - M x5

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Q: find dw and dw using the proper chain nule. др dt 2 a) w = x² + y²₁ whene x = pcost and y=psent in…

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Q: Let A(z) = f(t)dt, with f(x) shown in the graph below.

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Q: Write the sum using sigma notation: A 1+2+3+ 4+.+ 105 = Σ B, where n=1 A B = Submit Question

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Q: Find the centroid of the plane region bounded by the x-axis, and by the curve y = √4-r².

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Q: Use the model for projectile motion, assuming there is no air resistance. Determine the maximum…

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

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: b. f(x+5)-1/2 √2+5

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Q: Find the radius r and height h of a cylindrical can of total surface area 140 cm² whose volume is as…

A: The cylindrical can of surface area 140cm2 . It is required to find radius and height such that…

Q: a. Solve the system u = 2x + 3y, v=x+4y for x and y in terms of u and v. Then find the value of the…

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