Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3
A: Given query is to find the value of c.
Q: 1) Find the value of C that make the function continuous at x-1? x 1 -
A: We have given piecewise function Function is continuous at x=1 if f1+=f1=f1- f(x) = C-x if…
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Q: Evaluate the limit In(x) lim x²-21x+20 X-1 X O a. 21 1 O b. -19 Ос. 21 O d. None of these. е. 1 19
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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…
A: Given , A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…
Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…
A: For given curves washer method can not be used. Answer with disk method
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Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…
A: Given
Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1
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Q: Cnudan a pundre uuofree shrse trces nre prrabolae le » k).prrabolae ly - k). and kyyorobolne g = k).…
A: To find the quadratic surface whose traces are parabola(x=k), parabola(y=k) and hyperbola(z=k).
Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…
A: This is a problem related to integration. Based on the general formula and concept we will answer…
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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1
A: The given series, ∑k=1∞1k+2k+3
Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…
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Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…
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Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS
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Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D
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Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…
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Q: |(4x – 3) In x dx
A: This question can be solved using the concept of integration by parts.
Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…
A: This question can be solved using the concept of factorization.
Q: -3 dx 2 x2+1 In|2| Option 1 Option 2 In|2| 2 In|2| Option 3 Option 4 112 312 112
A: A detailed solution is given below.
Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.
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Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…
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Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…
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Q: e2z dx 4e2a – 8ez + 5
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Q: Evaluate the integral: *Input answer as decimal round-off to 2 decimal places.
A: Given problem:-
Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…
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Q: de r= 4 e ao and = 3 dt
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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…
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Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…
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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…
A: Here we have to use the concept of derivatives.
Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…
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Q: Evaluate the integral 5*dx |(Type an exact answer.)
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Q: Find the derivative of y = Arccot (tan 2x).
A: The objective of the question is determine the derivative of the given function.
Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…
A: The given function, -28x4+10x28y+y4=8
Q: Solve cos (w) - 6 sin(w) for all solutions 0 < w < 27 %3D w = Give your answers accurate to 2…
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Q: find dy for ee Sin (メ+34) dx
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Q: x/2 2. dy Sin x dy +34 2- X 2
A: A detailed solution is given below
Q: dx 7. Find the general solution to y+ 2x = 5y³. dy
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Q: 1 dA; R = {(x, y) : r² + y² s 4, r 2 0, y 2 0}. /16- r2 – y?
A: Using polar coordinates, integration is evaluated.
Q: 3. Solve equition system with Given function and using matrix representation: 3-x+ 3-y+ 4-z= 7 x -…
A: Given
Q: 13. (x? — ху + у?)dх — хуdy %3D 0
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Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False
A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2. True False
Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4
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Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…
A: height = (1/2)gt2 +v0t but here v0 = 0 for initial height = (1/2)gt2 height = (1/2)(9.8)(20)2…
Q: 2. Circular Rings/Washer Method a. y = x2,y = 4x, about the x – axis %3D -
A: Volume = 428.93 cubic units The solution is given below in detail.
Q: Find a point on the parabola y - x* + 9 which is closest to the origin.
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Q: Evaluate the following indefinite integral. dx
A: Here is the solution
Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.
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Q: how is C equal to the difference of vectors A and B?
A: Dear user, Please read the question. We need to express Vector A in terms of sum of B and C.
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