Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.) f(x) = smaller x-value larger x-value X x² + 49 (x, y) = (x, y) =

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: Let F(t)=4t^4i−2sin(3t)j+2e^(5t)k and G(t)=−2cos(2t)i+j+4/t^4k,find F(t)⋅G(t)

A: Let's find F(t)•G(t).

Q: 2 e dx = O 2 e In 2 O + c O 2 e + c 2 e 1+ In 2 O (2 e In 2) + c + c

A: We have to solve the integration

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations

Q: Given f(x, y, z) = xyz, find fyyx

A:

Q: Use the indicated substitution to evaluate the integral. 17/2 rdz 289 17/2 1. x = 17 sin t x²dx √289…

A: To evaluate the given integral.

Q: integral

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Q: expand sin x/cos^2 x

A: expand sin x/cos^2 x

Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: 8. 4p pt| Pt1 4p

A: 4pp+1 - p+14p

Q: Solve for the partial Derivaties of each equations

A: We have to solve for partial derivatives (1) f(x, y) = x4 + 6√y - 10

Q: $1+79 atbi form

A:

Q: (-8,-1) (-5,-3) (b) Let h be the function defined by h(x) (-2,1) = 1- g(x) x²+1 0 (1,5) Graph of g…

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Q: Find the critical points, please show the work. f(x)=sin2x+3 on [-pi,pi]

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration 1. -2 x² +16 dr

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Q: Solve for y' if y = sec55x - tan²5x A. 0 B. 1 If y = x[sin-¹ (sin x)], find y' A. 2x B. -2x C. 5…

A: (1) Given that , y=sec55x-tan25x y'=?

Q: Solve by completing 2x2 +9x = 1 =0 - the square,

A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

Q: 2 X +3X-4020 choose one Solution interval or D

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Q: There are 25 points on the plane and there are no three points on the same straight line. How many…

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Q: traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a…

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Q: Use differential approximations in the following problem. A company will sell N units of a product…

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Q: 2) lim x→4 4x-x² 2-√√x

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: A virus is spreading across an animal shelter. The percentage of animals infected after t days 100…

A: This question can be solved by the concept of functions.

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

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Q: 6. y = x² + 4x; x dy dx = x² + y

A: NOTE: As per our guidelines, I have solved one problem. If you want solutions of rest, kindly post…

Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: b. IF A = +²î - tj + (2+ +1) K B = (2-3)i +Ĵ-tk A. d_ (A.B) dt OBTAIN THE FOLLOWING @ t = 1

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Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

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Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

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Q: Practice -3₁ (2-5₁) = (answer in a + bi form

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A:

Q: 7315 Q₁. Find the angle between every two vectors below (Answer two only): a) d=i+2j-k and e--i+j-2k…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: show complete solution

A:

Q: DO THE FOLLOWING: 1) COPY AND EXPAND (ADD NECESSARY INFORMATION TO MAKE THE SOLUTION BETTER)  2)…

A: We have to give a model of real-life phenomenon in physics using rational functions.

Q: C) f(x)=- --x-21-

A: Need to write down that how we can graph the given function and also need to find out the domain and…

Q: Consider the function ab sin (a) |x-61 f(x)=x2-36 1 x+a a) Suppose first that x < 6. In this case,…

A: We have to solve |x-6|x2-36

Q: Determine the interval (s) on which the vector-valued function r(t)=ti+(sqrtt+1j)+(t^2+1)k…

A: The answer is given below:

Q: Would I take the gradient of each A and phi, then find them at the point given before dotting them??…

A:

Q: Let the the position vector be R(t)=⟨e^t cos(2t),e^t sin(2t),0⟩. Compute the unit tangent vector…

A: Given vector R(t)=⟨etcos(2t),etsin(2t),0⟩. We know that Unit tangent vector T(t) = r'(t)|r'(t)|

Q: f(x,y)=(5x³-4y³)exp(3x)+ 4xy

A: To be called homogeneous function f(x,y) must satisfy the below equation .                f(λx ,λy )…

Q: I. Find the general solution of each of the following. 1. xy²dx - edy 2. tanxdx+ycos’ xdy−0 3. ytan²…

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Q: 3. A business manager determines that the total cost of producing a units of a particular commodity…

A: Given :Function :Cx=30x+11400000

Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: Determine whether the given DE is exact or not. Do not solve the differential equation. 1. (3x²…

A:

Q: A population of bacteria is growing exponentially. At noon, the population was 3700. By 4 PM, the…

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: Write the standard form of the equation of the circle with the given center and radius. Center…

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Q: 2x 2x · y = C₁ e ²x cos 3x + C₂e²x sin 3x

A: