Find the value of k so that the given function f is continuous at x=1,where [2+ kx x <1 f(x) = %3D 5+3x x > 1 c) 1 d) 12

Q: Let f : R → R be an odd differentiable function. Define F: R2 → R by F(x, y) = f(x² + xy+9y²). (a)…

A: This is a problem of differentiating function. Based on the concept of partial differentiation we…

Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

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Q: Consider the limits. lim f(x) = 6 x→7 lim g(x) = -8 Evaluate the limit using the limit law for a…

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Q: 3 xp- 4.

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 00 dz Either show that the improper integral converges and find its value, or show that it diverges…

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Q: Find T(t) and N(t) at the given point. e' cos t, y = e' sin t, z = e'; t = 0 %3D T(0) %3D N(0) = %3D

A: Given vector x=etcost, y=etsint, z=etr→(t)=&lt;etcost, etsint, et&gt;

Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y= x and y= x…

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Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: 9. Evaluate the limit of (x-2)(x^3-8) as x approaches 2. а. а b. 1/12 с. 0 d. 2/3

A: As per our guidelines we are supposed to answer?️ only 1 question. Kindly repost other question as…

Q: Using Long (Euclidean) division then decomposition into partial fractions x4 – 4x2 – x - 3 dx x² –…

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Q: Solve the equation .11 y" + 3y + 2y = x2

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Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

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Q: This matrix is a * 0 4 4 0 4 0 0 zero matrix O

A: Solution : The given matrix is

Q: This equation is an example for linear equations dy = x²e* y = %3D dx False O True +

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Q: bFhctc.instructure.com%2Fcalendar%23view_name%3Dmont... Find a cartesian equation for the curve 0 --

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

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Q: 10. Determine if the series converges or diverges using a Comparison test based on a Taylor…

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Q: sin n z cos z dr

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Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x wwww Find the ordinate of the centroid Y חו…

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Q: | (7x + 4) e dx

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Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: Find the area of the region inside the circle r = 36 sin 0 and outside the cardioid r = 12 + 12 sin…

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Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

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Q: Let D be the region enclosed by y = 5x, y = x and x = 1. The volume of the solid formed by •…

A: Here we have to find the volume .

Q: The solution of the differential equation below is dy 3y + 4x = 0 %3D dx *

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: Given: fx=y=x2+2, y=18 and  0≤x≤4 And the bounded region is: Apply the shell method to find the…

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: Find the area of the region between the following curves. If necessary, break the region into…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: f(x) = lnx/sqrt(x) find the following: first derivative: Intervals where f is…

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Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at æ…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x 450. c and y = c – x² is…

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Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: f(x) = lnx/sqrt(x) Find the first and second derivative   please solve this by writing and not…

A: Topic = Derivative

Q: Calculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the…

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Q: 13. Table 1 lists enrollment in US degree-granting instutions for both undergraduate and graduate…

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Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 Preview 5/3…

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Q: Express the Cartesian coordinates (-3,1) in polar coordinates in at least two different ways. Write…

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Q: 1. It is a list, or an array of numbers arranged in a definite order. a. ordering C. arrangements d.…

A: Ans 1.       A sequence is a set of numbers  arranged in a definite order. and the numbers in the…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01? -3x + 229, where z…

A: Given problem:- A factory selling cell phones has a marginal cost function C(x) = 0.01x2 - 3x + 229…