explain

Q: A point is moving on the graph of xy = 20. When the point is at (4,5), its x-coordinate is increasin...

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Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She e...

A: Question- A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fr...

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 eX + ...

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Q: If y= Vx (x-1), find dy (Use rules, not a XP de finition

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Q: Let f(x) (x- 2)3. a. Does f'(2) exist? b. Show that the only local extreme value of f occurs at x 2 ...

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Q: やn?

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Q: 2. Applying the properties of an inverse of a one-to-one function, show that the following pairs are...

A: Solve

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Xuestion a. Find the malnitude d) the resultand d tuwo gever between vectos whew they ú and V, qiven...

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Q: Each graph represents F'cx) n (not the original function -) x-coord inates of maximums -) x-coordina...

A: solution is given below..

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral. ...

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Q: Which of the following limits is equal to a* da? 4 A lim T 00 k 3+ n k lim (3+ 2 T 00 n k-1 C lim T ...

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following co...

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 400 cub...

A: This question can be solved using the concept of maxima and minima.

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

Q: し y(x) ¥(0)%=3

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,...

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Q: Consider the following. u = (5, 7), v = (6, 2) (a) Find the projection of u onto v. (b) Find the vec...

A: Given, u=<5,7> v=<6,2> projvu= (u.v/|v|²).v u.v= 5*6 + 7*2= 30+14= 44 |v|= √(6²+2²)= √(3...

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: Given vectors u = (-7, –5) and v = (2, –2) , find the difference V – u and represent the difference ...

A: Please refer to the solution which is uploaded in step 2

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

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Q: 4 %3D ») f(E) =

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Q: Evaluate the integral using the formula x dx = E. (Give your answer as a whole or exact number.) / (...

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Q: Let a = ci + jand b = 8i + 6j. Find c so that the angle between a and b is. Round your answers to fo...

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Q: y² – 2x ry? dy = 0; y(-1)

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Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Consider 12 – 2x +1 if r 1. Determine if the following functions are continuous on the interval I. ...

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Q: 3.1.053. A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9x ...

A: Solution is here

Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form ai+b...

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Q: Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x...

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Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

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Q: 6. (6x°-4x² +1)*

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: Problem 2 Solve the differential equation y" + y = cot x using Method of Variation of Parameters

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Q: Solve: 5|x – 1| + 4 > 14 The answer has form: O A B Where A = %3D and B = %3D

A: If x>a then x<-a or x>a .

Q: 8) f(x)= T+x²

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Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이 ...

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: 1. A piece of string is wrapped three times around an empty paper towel tube. The tube is 9 in long ...

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Q: Find the centroid of the region bounded by the curves: x + 2y = 6 = 0 y=0 O A = 3 sq. units; Centroi...

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Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four ...

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Q: ner order ential e = 0; y(1) = 0, y'(1) =

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Q: Given the piecewise function defined below, determine the value of f(x)dr in simplest form. 3x2 for ...

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Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: Find the domain and range of the function graphed below. 5t -5 -4 -3 -2 -1 2 3 4 5 -2 -4 -5+ Domain:...

A: Given data÷

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 3x - 6xy – 7y...

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