Let f(x)=(3x(^2) -4x+5)(^100) -((2x+1)/(x-3))^5. Calculate df/dx

Q: 46. A triangle with sides 5,5 and 6 feet is submerged vertically in water (p=62.4 lb/ft³) with the 6…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: ate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Surface integral is used to find Density O O Area Surface Volume O

A: We can find the answer as below.

Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: y= x3/4 +1/3x , 0.6<=x<=3.7  Find arc length First solve √(1+y'2) .

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: x-1 0…

A: This question can be solved using the concept of lines in three dimensional geometry.

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: X = [₁,√38² - 1 db y = v √314 - 1 dt, -2 ≤x≤-1

A: Firstly find  derivative of y then find length of curve

Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is then pumped…

Q: 25. Maximum revenue. A deli sells 640 sandwiches per day at a price of $8 each. (A) A market survey…

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Q: True or False; The definite integral 3 [²²x + ²e¹)dx 5 is equal to 3 5 J-1 Select one: O True O…

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Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

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Q: If a = (-1,-4, 4) and b =, then a × b equals: O-4i-k O 4i + k O i +4k O 4i+k None of the others.

A: We can find the cross product as below.

Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: Perform the row operation 3R2 + R₁R₁ on the matrix below. 3 2 4-6-8 1 1-3 2 (X3 (888) 4-6-8 3R2 + R₁…

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Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: As the selling price of a product increases, demand decreases. Fewer people will buy a pro s more…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  and the revenue…

Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

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Q: Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

A: Solution of given question is written in below steps.

Q: valuate the following integral or state that it diverges. 6 10 cos A. K|X Select the correct choice…

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Q: Approximate the area under the curve y = x² from a = 3 to x = 6 using a Right Endpoint approximation…

A: Follow the procedure given below.

Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: The definite integral is equal to [²3x 3xdx Select one: O none of the others O 3 lò O3 lò xdx +3 lit…

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Q: Evaluate the following integral. √144-16x² dx

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Q: Find the indicated Trapezoid Rule approximation to the following integral.

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Q: Exercise (c) Find the inflection point. Find the interval on which f is concave up. Find the…

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Q: s -2.5, the elasticity of demand for business computers is -.90, and the elasticity of supply for…

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Q: [3 -2 21 The matrix A=0 -2 1 one of the eigen vector is (solve) Lo 0 11 250 Option 4 O [3] -2 -31 2…

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Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Integrate the integrand (x2-x+12)/(x3+2x) .

Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: b = 2i + j + 3k 14 direction of a = Select one: O True O False is the unit vector in the 2i + j + 3k

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Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: The equation (x - 1)² + (y-4)² + (z − 3)² = 25. - is an equation of the sphere with center C(1,4,-3)…

A: NOTE: Refresh your page if you can't see any equations. . the given equation of sphere is