ctivity 3: For each problem, use implicit differentiation to find in terms of x and y. d²y dx² a) 4y² + 5 = 2x?

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and...

A: Given   xy=4

Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c. ...

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Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

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Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

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Q: S 6w+12w -6

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Q: 3t² Determine f'(2) if f(t)=log10 2t – 1

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Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

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Q: If P (z) = tan (2) + in a first order linear ordinary differential equation + P(z) y=Q(z), the integ...

A: According to our guidelines we are supposed to answer only the first question if you want any partic...

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

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Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

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Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: Let a be any positive real number. Then * 1 lim In a – 1 True False

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Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievan...

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Q: 8. Given the functions f(x) = 2x +5 and g(x) = x² - 4, find (f +g)x. a. 2x + 5x - 8x – 20 b. 2x - 5x...

A: As per our guidelines we are supposed to answer only one question i.e. the question no (8). For the ...

Q: Consider the points A(2, -3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

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Q: Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

A: Find your answer below 

Q: Evaluate (x" S (aT +") da 3x Answer: Submit Answer

A: We will solve the integration. 

Q: Tim Vaxi+ x

A: We have to evaluate  limx→-3 2x4+x2.

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: What is the value found using Δy≈f ′(x)Δ​x?  √5=

A: answer of given question is in step 1

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 EJu. (v x w)| to determine...

A: The volume of tetrahedron can be calculated using scalar triple product of u,v,w.

Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: 4- If a function is differentiable at zo, then it is : a) Differentiable on C b) Continuous on C c) ...

A: To answer the given question about the complex function.

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

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Q: ind f−1(x) for f(x)=9+12x.   Enter the exact answer. Enclose numerators and denominators in paren...

A: Given that fx=9+12xTo find : f-1xSolution :if we find inverse of function of y= fx then interchange ...

Q: 5. Simpson's and Trapezium rules 1. A car's speed is recorded at 10 second intervals. The following ...

A: We need to use Simpson's rule to find distance.

Q: DO NOT include spaces in between characters. * Find f' (-;) if f(x)= 3. Your answer

A: The objective is to find the derivative  of f at (-2/3).

Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to fo...

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Q: Consider the parabola given by the equation: f(x) = – 4x - Find the following for this parabola: A) ...

A: Given equation of parabola   f(x)=-4x2-10x+11

Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: y = 4 – x2 from x = -3 to x = 3.

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: deandn=a.ean 

Q: A - Evaluate the following integral. e2x cos3x dx

A: Given I=∫e2x.cos3x dx

Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

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Q: C. Given: ΔΤΑΝ-ΔΤKJ 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ 2. TN = 5x -7cm, TJ = x ...

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Q: for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u? ...

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Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: Q3/B/ Find the value of unknown in the following 1 -2 7 9 5 6 ? 3 ? -2 7 1 6 1 -2 7 +4 ? 1 - 5 6 -3 ...

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Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money i...

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Q: dy – 4y = x*e* 12. x- dx

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Q: dy 3 1. a) Solve the differential equation dx if y = 3 when x = 1. xy

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin 50° cos 5° + cos 50° sin 5°

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v a...

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Q: Describe all numbers e that are at a distance of from the number 7. Express this using absolute valu...

A: We know that the distance d between two numbers a and b equal the absolute value of their difference...

Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the v...

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent ...