Find a function r(t) that describes the line passing through P(9,7,2) and Q(3,2,9). r(t) = (-6t+9,, for- -8 ≤t s 8 X

Q: Use linear approximation to approximation (sqrt√36.1) as follows. Let ?(?)=(sqrt√x). The equation…

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Q: 4. At what point(s) does the curve r(t) = (sin(t), 2 sin(t) cos(t), cos(t)) intersect the yz-plane?

A: Solution: Let x= sin(t) y = 2sin(t)cos(t) z = cos(t)

Q: Evaluate lim 1+ h→0 1+ h² if it exists. If it does not exist, enter DNE.

A: See this solution in below.

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

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Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

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Q: Evaluate the following expression without using a calculator. log 99

A: The given expressions, i) log99ii) log749 We have to find the value of the expression without using…

Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: K By computing the first few derivatives and looking for a pattern, find dx d925 925 dx 925 925 (sin…

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Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

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Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: Solution: ∑n=1∞9n37 Apply p series test if the series is of the form  ∑n=1∞1np, where p>0 If…

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. SX² 4 x-1 dx…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the following. x² X + 9 Find the derivative of the function. f'(x) = m = f(x) Find the…

A: The given function is  f(x)=x2x+9

Q: A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex…

A: NOTE: Refresh your page if you can't see any equations. . solve this equation for y the point…

Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: y² Define Q as the region bounded by the functions u(y) = around the y-axis, what is the volume of…

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t)= 0.041³…

A: Given S(t)=0.04t3+0.8t2+4t+3We need to find(A)S'(t)(B)S(7) and S'(7)(C)Interpret S(13)=278.08 and…

Q: I dont understand what is written. Can you write in another way or atleast have spaces in between…

A: Here we have to determine the sum of convergent series.

Q: A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400…

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Q: 1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by…

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Q: For these problems, use this formula for compounding interest continuously. Round answer to 2…

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Q: Find the general solution of the equation y'' — 2y' + 3y = 0 Use lower case C₁ and C₂ for the…

A: I am attaching image so that you understand each and every step.

Q: The surface of a mountain is modeled by the equation h(x,y)=5000-0.006x2-0.008y2. A mountain climber…

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Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…

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Q: Given the scatter plot shown, determine if the correlation is positive, negative, or if there is no…

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Q: Use the defnitions of the hyperbolic functions to find the following limit:  lim x → ∞ (tanh x)

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Q: Suppose that for a given curve defined parametrically, dy dx dt = sint. Then dx² dy dt = tant and

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Q: Find lim 1→0 Answer 6t + 4tant sint Keypad Keyboard Shortcuts

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the…

A: y varies inversely as the cube root of x and when x=125, y=3.

Q: 2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

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Q: Calculate the derivative à S² √7 + x² dx =

A: NOTE: Refresh your page if you can't see any equations. . break this integration at t=0

Q: Let P be the plane that intersects the x-axis at the point (1, 0, 0), the y-axis at the point (0, 2,…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IL VE - dy dx

A: ∫141 ∫x8x xydydx

Q: If f(x) = x cosh 1 يع امت - √x² 9

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Q: Find all roots of the polynmial equation 2x to the fourth - 7x cubed +18x squared - 42x +36 =0

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: Solve y'' + y' 6y = 0, y(0) = 2, y'(0) = y(t) = 21

A: To find solution of differential equation

Q: Find the derivative with respect to x of 2 sin x² + Cos x x²

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Q: Evaluate the expression without using a calculator. log 476

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Q: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: Evaluate the definite integral: S." 6 dx

A: This question can be solved using the formula ∫xndx=xn+1n+1+c…

Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 9. You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x² +…

A: Given query is to find the derivative using definition.

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1₁-0 dv

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Q: Consider the following. 3x³ - 27x² + 5 y = (a) Find the critical values of the function. (Enter your…

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