dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -55)

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Q: Find the equation of the tangent line to the following curves at a given point y = x² – 6x + 9 at x…

A: 1)y=x2-6x+9 at x=2 2)y=sqrt(x+3) at x=1.

Q: 4/3 J48-x J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13 (x? +y?) (i) Express the integral J in…

A: This is a problem related to conversion of cartesian coordinates. Based on the general formula we…

Q: Question 2: A bacteria culture initially has 600 number of bacteria and triples in size in 8 hours.…

A: Given problem:- A bacteria culture initially has 600 number of bacteria and triples in size in 8…

Q: A. Evaluate the following integrals. dx 1. 5+x2

A: The objective is to evaluate the integral.

Q: x and y -2x Find the area of the region enclosed by y

A: Solution is given below:

Q: Ilu ne mervais OT wiiich the function is increasing or decreasing. f(x) = 2x° +3x- 12x+ 17 .... List…

A: Given query is to find the interval where function increasing and decreasing.

Q: 4 Find lim х — 4 Væ – 2 x→4

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Q: Consider the following. f(x) = 4x3 . - 6x2 24x + 4 (b) Find the local maximum and minimum values of…

A: Given problem:- Consider the following.   f(x) = 4x3+ 6x2 - 24x + 4   (b) Find the local maximum and…

Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: An equation of the tangent plane to the surface z = 4xy² + 3x²y² at the point (1, 1, 7) is: Select…

A: z= 4xy2+3x2y2F(x,y,z) =…

Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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Q: Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative…

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Q: An isosceles triangle with vertex at (0, -1) is to be inscribed in the ellipse x? + 4y² = 4. Find…

A: We have to find the largest area of the triangle.

Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: The number of r-permutations of a set with n elements= P(n,r).

Q: V10. What are the horizontal asymptotes of the function f(x)=Nx+9 O y = 5 only O y = -5 only O y= -5…

A: Given query is to find the horizontal asymptote.

Q: VI. In each of the following, find the moving trihedral of the curve r (t) at the indicated value of…

A: As per bartleby guidelines we only give first question answers.

Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Evaluate the integral. sin (12x) cos (7x)dx | sin (12x) cos (7x)dx =

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Q: Sign Comment hta Finl the opachin fanPalabolas vertex, fecus and direder for The fallowing…

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Q: COS X Evaluate the integral: Xp- 4 + sin?x

A: To evaluate the given integral.∫cos x4+sin2 x dx

Q: For the model of Newton's law of cooling LP -2T + 4, T(0) = -2, dt the initial temperature is -2°.…

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Q: The population P(t) of a town increases as the equation P(t) = Poe0.24 If P(2) = 2323, what is the…

A: The objective of the question is evaluate the initial population and choose the correct option.

Q: Consider the following function. (If an answer does not exist, enter DNE.) -6 f(x) = 1+ x2 (a) Find…

A: The given function,   f(x)=-61+x2

Q: 4 Consider the function f(x) = ex Where are the discontinuities located? - e-x (If there are…

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Q: Consider the Initial Value Problem: y = y + 3x – 5, y(1) = -2. An approximation of y(1.2) with step…

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Q: Write the integral in terms of u and du. Then evaluate. (8х + 19)-2 dx, и 3D 8х + 19 (Use symbolic…

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Q: A quadrilateral has sides equal to 12 cm, 20 cm, 8 cm, and 17 cm respectively. If the sum of the two…

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: Find f. f'(x) = 6x – 3/x*, x > 0, f(1) = 7 f(x) =

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Q: dy Find if y = 4x° + 5x + 4. dx dy dx

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Q: 6. Find the volume of the solid generated when the area of the region between the curves y = Vsinx,…

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Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) y dx dy =

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Q: Calculate the cross product. (Use symbolic notation and fractions where needed.) (i + j) × k =

A: (i+j)×k

Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

A: For 1st question, Relation 1  Image of every element is unique hence relation is function.

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: Solve the following equation. 2 (53x) = 31,240

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Q: dx 1. 5+x2 dx 2. V4-9x2 dx 3. х V16х2-25 dx 4. x²+4x+13

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Q: 7. DETAILS Y NOTES ASK YOUR TEACHER Find the interval(s) where the function is increasing and the…

A: The objective is to find the interval where the function is increasing and also the interval where…

Q: Consider the following function. f(x) - x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: XYZ company’s cost function for the next four months is C = 500,000+5Q   (a) Find the BE dollar…

A: The cost function of the company C=500000+5Q is given.

Q: Finding the Area of a Region In Exercises 5–14, sketch the region bounded by the graphs of the…

A: Question- In Exercises 5-14, sketch the region bounded by the graphs of the equations and find the…

Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: 0.6 d.5 Q3 A symmetrical parabolic segment y = 4x(2- x) rotates around the x-axis as shown in the…

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Q: Choose the normal vector of the tangent plane to the surface defined by z =e4x²+16xy-9y2 at the…

A: Explanation of the answer is as follows

Q: 3.) Y + y = x" ן1

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Q: Write the integral in terms of u and du. Then evaluate. / 6xe* dx, u = -x? (Use symbolic notation…

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