If f (x) =2x³+6xr- 2, then what is f'(1)? %3D

Q: Find the derivative of the following functions a.) f(x)=- 17- 3x +1 b.) f(x)= | c.) f(x)= e"(2) d.) ...

A: For (a),    x7-3x' =x'7-3x-7-3x' x7-3x2=1·7-3x--327-3xx7-3x2=14-3x27-3x7-3x For (b),     t3+1t3-14' ...

Q: 1. Use the Gauss-Jacobi method to obtain the solution of the following system of linear equation: 2x...

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Q: -3 dx dy 0, y2

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: The integral of t2ln t with respect to t is; 13 A -(In t- 3) +C B none of the given choices -(3In t ...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: The integral of t'in t with respect to t is; A none of the given choices (3ln t + 1) + C -(3ln t- 1)...

A: Given query is to find the integral.

Q: 5. arcsin 1

A: Solution ) arcsin1 = sin-1(1) [ Sin (π/2) = 1 ] Sin-1(sin(π/2) ) =π /2 Or in radian = 1.5714

Q: c) Solve the given system of equations using inverse of matrix 3x + 8y = 5 4x + 11y = 7 d) Find the ...

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Q: The coefficient of sin'x in the antiderivative of F(x) = cs (use fraction form not decimal

A: This question can be solved using the concept of integration of trigonometric function.

Q: Find x1 2 tan-(x)+ x/ (1 + x2)] dx = %3D A) x2 /(1 + x2) + c C) x? tan - 1(x) +C B) – 2 x In (tan x)...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: dder the folowing. TX) - V 30 - tch the graph of the function. Use a praphing utlty to vertfy your g...

A: Given query is graph the function and find domain and range.

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

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Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (7x4 + 6)° dx...

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Q: 20 -1 3. sin

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Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: e2X dx V1+e2x

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Q: S- dx = In]x| – e* + C 5. S 2²+3*dx = 4| + C In 8

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find a Cartesian equation for the curve. r = 7 sec(?)

A: Given query is to find the Cartesian equation if the curve.

Q: The graph of F(x) is shown below. The areas of the shaded regions from left to right are 265, 20, 28...

A: Let's find. 

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

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Q: Question 5 Evaluate the double integral over the given region. 8x sin xy dA, R:0 sx <T, 0 <y s1 7C 8...

A: Given that, The integral is following, ∫∫R8xsinxy dA R : 0≤x≤π, 0≤y≤1 We have to find the value of t...

Q: (7x³ + 4x²)dx

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: . A rectangular box of height h with square base of side b has volume V= 4m³. Two of the side faces ...

A: Given:   Data is given

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: 4. f Inv9 - x2 dx - integration by parts

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Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function V(r) ...

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Q: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: The amount of a new allergy drug, nalamox, decreases by 26% every 4 hours. (a) Determine the 5-hour ...

A: Given: For (b), So, for 1 hr decrement in % is 26/4=6.5%. For (a), For 5 hr the change factor is 26...

Q: Find the area of the region bounded by y = x2+ 2x – 1, y =÷+x-÷, x = -3, x = 1.

A: Find your answer below 

Q: The integral of t2ln t with respect to t is; A (3ln t-1)+C B ®(3in t-1) +C none of the given choices...

A: Given: The integral of t2lnt with respect to t

Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

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Q: lim In (xth)-Incn) X-DO

A: Topic = Limits

Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A:  To find the correct substitution  for the given integrals.  

Q: Find the volume of the solid generated by revolving the area bounded by x – y? + 4y – 4 = 0 and x – ...

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Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: Determine if the given series converges conditionally or converges absolutely or diverges. 1 1 (a) (...

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Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

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Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: In Colorado spring has arrived when the bluebell first flowers. The figure shows the date (days afte...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i+ 5j. NOTE: Enter the exact answer...

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Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between...

A: The function fx=x3 between x=0 and x=1