O 10(x2 +y²).dx+3.x.y.dy

Q: Find dy/dx: a. y = cos t dt 0,

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

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Find the missing side length of AABC given the triangle below. Round to two decimal places. В 59° 10…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 1) Test whether the following differential equations are exact and solve those that are. 5.30. (y…

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Q: lim(10) 1. A. 11 B. 10 D lim(x² 2. 3x 1) A. 11 B 10 D. 25 3. lim A. 18 B. 17 C. 16 D. 15

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: 3. Given and z2 =? 57 +i sin Z1 where 0se< 2x . 4 = 12 +i sin find cos+i sin 2 37 O 1= 9 cos +isin…

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Q: 5. USC cyllndrical coordinates. Evaluatc (k4)dv, where E IS the solid that ies betwern the cylinders…

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Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: Which one of these functions has range R over its natural domain? O In(x + sin x) x8 + 4x5 – 3x³ +…

A: To identify which function has the range of all real numbers.

Q: ): Consider the 3 x 3 matrix -- -1 A = 3 -X where x is an unknown scalar. -1 Find the unknow x if it…

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Q: Find the critical points of the function. Then use the Second Derivative Test to classify the nature…

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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: Integrate the following problems. fe (2x +7)dx 7.

A: Consider the integral  ∫ex2x+7dx

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

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Q: A function f has f(10) = 23, f'(10) = 2 and f" (x) 10. Which of the following are possible values…

A: Find your answer below

Q: Use the guidelines of this section to sketch the curve y=x-12Vx. (1) Find the domain of the function…

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: Evaluate the double integral I ry dA where D is the triangular region with vertices (0,0), (5,0),…

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Q: 3. S(3+*+6 – e2*)dx 4. S 2x3e**dx xp,

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as below.…

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Q: x*-y* 3) x²y³ = **-y+ ху

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Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 6x2. %3D (Use decimal notation. Give your…

A: Given problem:- Estimate L4 and R4 over [0, 3] for the function f(x) = 6x².

Q: Use the position equation s = -16t2 + vot + So where s represents the height of an object (in feet),…

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Q: Find the volume of the regular hexagonal pyramid shown below, and then answer the following…

A: We have to find the perimeter of the regular hexagonal base, the measure of the apothem of the…

Q: Find t6e eavation of tangent ine of fcx) = X+) at X=2 X-3

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Q: pressions without using a b) log, (log, 125) d) (log, 128)(log4 256) f) log, 82 – log, 49 + log, 1…

A: We have to solve the logarithmic expression.   According to our guidelines we can solve only three…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: Note: Below we are using t as the variable for angles instead of 0. 1 Consider the following…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y2 + 4, (3, 4) %3! Vf(3, 4) =…

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Q: Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the open intervals…

A: Given graph of derivative of the function.

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: 1) y= 1 tan 20 3元 5元 3n 7元 2元 元 TC 元 4 2. 4 414

A: The given data is: y=12tan2θ  To draw the graph.

Q: y-2 z+1 and y +1_2-3 2-3 x+2 v 33.

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at th below. Find the…

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Q: Find any critical numbers for f and then use the second derivative test to decide whether the…

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Q: How many terms of the Maclaurin series of f(x) = ln (1+x) are needed to compute In(1.5) to within an…

A: Given f(x)=ln(1+x) We want to calculate number of terms of maclaurian series required to calculate…

Q: 16 14 12 10 8. 6. 4. 6. A942

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Q: Activity 1.3.3. A water balloon is tossed vertically in the air from a window. The balloon's height…

A: Given problem:- A water balloon is tossed vertically in the air from a window. The balloon's height…

Q: Given sinα=0.378sinα=0.378 and sinβ=0.349sinβ=0.349 with both angles' terminal rays in Quadrant-I,…

A: Given problem:- Given sin(α)=0.378 and sin(β)=0.349 with both angles' terminal rays in Quadrant-I,…

Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

A: We need to find inflection point.

Q: integral is 3 1 y IT (6 x² y -4 e')dxdy= ? -1 y 942 O - 16e3 + 5 932 O - 16e + 5 None of he others…

A: Given query is to find the value of the integral.

Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t2, where s is…

A: topic- average value

Q: Give three points that are equivalent to the polar point (10, 235°). Write the three points in polar…

A: Equivalent angles can be found by rotating the angle through multiples of 360° so (r,θ) is…

Q: n n(n + 1)(2n + 1) Le n be a positive integer. Use induction to prove >j² = 6 j=1

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Q: (-55 96 -20 (2) Find the eigenvalues and one of the eigenvectors of the matrix A = -42 75 -16 -54…

A: The given question can be solved as shown in step2.

Q: Let f(x, y) = xe*Y. Find the maximum rate of change of f at the point (2, 1). хе

A: We will find the maximum rate of change.

Q: 1. Solve x+2|<6

A: Topic = Inequality As per guidelines , At a time only one question  can be answered out of multiple…