f(x) = ex, a = 1 f and T, on the same screen. y y 3 -1 -1 1 -4 -3 1 y

Q: y)dx

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Q: 2 y = x - 3x, y=x 3r.

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Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And c·...

Q: If $700 is invested at interest rate i, compounded annually, in 3 yr it will grow to an amount A giv...

A: I am attaching image so that you understand each and every step.

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

Q: 1 Scos 3x sin* 3x dx 1.

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Q: sec (7x)tan' (7х)dx

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Q: Find the open intervals where the function f(x) = - 2x" + 12x + 167x - 2 is concave upward or concav...

A: Given problem Find the open intervals where the function f(x) = -2x³ + 12x² +167x-2 is concave upwar...

Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to th...

A: Given query is to find differential equation.

Q: D. Coefficients linear in two variables 6. (3x – y + 2) dx + (9x – 3y + 1)dy = 0

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Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is ben...

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Q: - y = V16 – x² and the x-axis about the x-axis

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Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1 ∫c...

Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: How do I define the limits of integration with drawing, thank you 00 dA -00 -00 Pat= rose, y= rsine....

A: This is a problem of polar integration of the function. r represent the radius of the circle whereas...

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

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Q: 9. Use the following graph to find the coordinates of the point where the lines y =-2x+6 and y = 3x+...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Sx²sin(x)dx = -x²cos(x) + 2cos(x) + 2xsin(x) + c

A: Integrating by parts  . 

Q: 4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* - ...

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: TT 2 Cos3 0, cos³ xdx хах

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Q: We want to fit v = k1 * exp(-k2 * u) to the data: (0, 1.95), (1, 1.28), (2, 0.70) by least-squares f...

A: Solution

Q: Assume that the function f is such that f(3) = 1, ſ f(x) dx = 5, and f'(x) is continuous on [0, 3]. ...

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Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: Answer the questions regarding the graph of f. Then, use this information to graph the function. (a)...

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Q: How did he define the terms from 0 to 2n 「<Yとe OL9 と 27 ずeno) opepe [g O =0 =1 " lnT dr do 27 e

A: x2+y2=r2 is the equation of the circle with radius r To cover a  area of circle of radius r, Rotatin...

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

Q: For a given function f, what does f' represent? Choose the correct answer below. O A. f is the avera...

A: Solution: Given data, f is a function f' represents??  

Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: x dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: nd the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, en...

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions y(...

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Q: 3x + 3y = 3 42. 8. 4x + 2y %D ||

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Q: Write an expression for the apparent nth term (an) of the sequence. (assume that n begins with 1.) ...

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Q: the following statement true? If it is true, explain why it is true. If it is false, give an example...

A: Is the following statement true? If it is true, explain why it is true. If it is false, give an exam...

Q: ven the series 7" Σ n n=1 An+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: Given query is to use ratio test, and find series converges or diverges.

Q: x+2 3. Use derivatives to determine where is the function f(x) = x²-4 is increasing and decreasing. ...

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Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified...

A: We will find the slope of the tangent line of the given curve at the specified point.

Q: Solve y" – 2y' + y = 0; y(1) = y'(1) = 0

A: To solve the given differential equation.

Q: Can someone explain the difference between these derrivatives as in when do you use each one and if ...

A: We have to explain the difference between the derivatives as in when we  use each one and give examp...

Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: J Arctan(x)dx xArctan(x) -In(1 + x²) + c

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Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: EValuate:- (sin?G coszoldo

A: On solving this we will get:-

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the v...

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Q: - Is the given point a Solution to this graph? (-1,–2)

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as a...

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Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: By using the substitution u = x3n, find nx3n-1, 'e*" (e*™ + 8) dx where n is a constant. Hence, eval...

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