х—1 ]dx x4 -1

Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

A: Given query is to find the derivative of the expression.

Q: В K Match each equation with a graph above 8 2(1.16) a. blue (B) 8 2(0.84)* b. orange (0) C. green…

A: This question is based on exponential Function.

Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.

Q: The graph of x +y = 100 is a circle having center at the origin and radius 10. a. Write the equation…

A: The graph of the circle x2+y2=100 having center at the origin and radius 10

Q: Evaluate the double integral over the given region R. xy cos y dA R-1sx<1,0sysT R

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Q: what are 7 and 8 in standard hyperbola equation? 7) The foci are (-8, 2) and (2, 2). Vertex at (1,…

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Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′ at the indicated…

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Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

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Q: A simple biochemical reaction with three molecules has solutions that oscillate toward a steady…

A: A simple biochemical reaction with three molecules has solutions that oscillate toward a steady…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: | (u + 2)(3u + 4) du :

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Q: Find the equation of the tangent line at the given point on the curve. 3y-Vx = 8, (16,2) y =

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Q: х—1 dx х4—1

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Q: (i) Consider the iterated integral I = f(x.y.)dzdydx. Rewrite I using an x-simple region (with…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: We need to find horizontal and vertical asymptotes.

Q: The integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: Consider the curve 5 sin(y) + 3 cos(x) = 2. %3D Find y' by implicit differentiation. Find y" by…

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Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

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Q: Evaluate the integral. 5, sec 3x tan 3x dx sec $3x tan 3x dx =D

A: To evaluate: I=∫sec53x tan 3x dx=∫sec43x sec 3x tan 3x dx

Q: Evaluate the integral. |cos *x sin xdx Scos 4 cos "x sin xdx =

A: To find the value of given integral .

Q: The graph below is comprised of transformation of tool kit functions. 5- 4 2 -6 5 -4 -3 3 5 -2 -3+…

A: Given query is to find the the function of the graph.

Q: If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Given problem:-

Q: S(x +e*)²dx

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Q: 9! Calculate 7. 4! 5! 3024 15120 1814400 126

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Q: b) and 10 inches. Find the dimensions of the rectangle with the greatest area assuming the A…

A: Given problem:- A rectangle is to be inscribed in a right triangle having sides of length 6 inches,…

Q: Find the interval of convergence of (х — 5)" In (8n) n=2 (Use symbolic notation and fractions where…

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Q: sin(z) Find the derivative of the funciton F(x) = In(1 + 6v) dv. F'(x) =

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors &lt;a, b, c&gt; and &lt;x, y, z&gt; are parallel if (a/x) =(b/y) =(c/z) .

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

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Q: 3600 The function s(x)= 3600(60 + x)'gives a person's average speed in miles per hour if he or she…

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: (x-2x) dx -2

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: Topic:- application of derivatives

Q: . Evaluate (x + 1)*dx = (x +1}*dz + f{(x + 1)*dx %3D

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Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

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Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: So what is the square units

A: Apologies for the inconvenience. The correct solution is given below: Given function is: fx=ex7 from…

Q: -............... ...................... ..…

A: Solution is here

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 5 dx sec x-1…

A: Here we have to evaluate the given integral.

Q: What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

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Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: p(a)dx

A: Solution of question is written in below steps.