Find the equation of the tangent line to the graph of f(x) = √√√/2 x at (1,1). Your equation must be in the form y = mx + b.

Q: f (3 — e3x)3dx

A: The given integral is: I=∫3-e3x3dx   As we know the Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And use the…

Q: Obtain the equation of f(t) ? y(t) taking into account the following differential equations: y'' -…

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Q: Which of the following is equivalent to (A) (B C (D L² (x5 - - 4x + 6) dx [² (2³-42) (x5 - 4x³+6) dx…

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Q: f(x) dx, given than = 4 Find the value of 6 f(x) is odd, and ſ≤₂ ƒ(x) dx √₂ f(x) dx =

A: Integral

Q: Consider the function f(x) = 12x5 + 45x4 - 80x³ + 1. f(x) has inflection points at (reading from…

A: We will find the required.

Q: 1. Find the divergence of F(x, y, z) = (ln(x + y) + 7, sinhy√1+yz, ze" − cos z) - π at the point…

A: Given vector:- F→x,y,z=lnx+y+xzπ,sinhy1+yz,zey-cosz

Q: Show

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Q: The tables give the death rates (per million person-trips) for male and female drivers for various…

A: Matrix for male drivers is obtained by writing corresponding elements

Q: Use the second degree Taylor polynomial of f(x) = x about 8 to approximate your answer as a single…

A: By using the second degree Taylor polynomial of fx=x53 about 8 to approximate 43553.

Q: 2. Use the Fundamental Theorem of Calculus, (a) (b) (c) to evaluate the integrals: TT 3 sec x (secx…

A: Solve by integration

Q: The net worth, f (t), of a company is growing at a rate of ƒ' (t) = 2000 - 121² dollars per year,…

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Q: Write the first four terms of the sequence (an) n=1 (-1)" 2+1 an a₁ = a₂ = a3 = a4 = (Simplify your…

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Q: Q8: Please answer all the parts to this question and show your work clearly please!

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Q: Use a definite integral to find the area under the curve between the given x-values. 1 from x = 1 to…

A: By using a definite integral to find the area under the curve between the given x‐values.fx=1x from…

Q: Mary invested in an account that grows 2.25% interest every month. If she invested Php 15,000 this…

A: Given grows 2.25% interest every month. r = 2.25% = 0.025 P = Php 15000 y = Php 20000

Q: Evaluate the integral or state that it diverges. Š In 1/8 ex dx 64e2x + 1

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Q: Find the equation of the plane passing through the points (1, 0, 1), (−1,1,0) and (3, -3,2). Leave…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Compute d dx -(xe).

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Q: Since u = x³ + 28, then converting back to an expression in x we get the following. 2 + C X

A: we need to write the expression in terms of x.

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 2, 0); P2 = (2, 4)

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Q: For the function, do the following. f(x)=√x from a = 2 to b = 5. Approximate the area under the…

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Q: se a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to the…

A: Given query is to find measure of indicated angle.

Q: The graph of the quadratic function h(x)=x2−3x+2h(x)=x2−3x+2 is a parabola that opens upwards. What…

A: We have given a quadratic equation  hx=x2-3x+2 hx=x2-3x+322-322+2 hx=x2-3x+94-94+2 hx=x2-3x+94-14…

Q: Prove that fx" cos(2x)dx=sin(2x)-[x n sin(2x)-x-¹ sin(2x)dx. Do not use Table Entries. H

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Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: Find a power series representation centered at the origin for the function 1. f(t) 2. f(t) = = f(t)…

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Q: the answer is incorrect

A: I have rechecked the solution. The answer and explanation is absolutely correct for the particular…

Q: Find all values of t in the interval [0, 2π] that satisfy the given equation. (Enter your answers as…

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Q: 4.82. Show that f/2 sin² z dz= f/² cos² z dz = π/4.

A: To show that, ∫0π2 sin2 z dz=∫0π2 cos2 z dz=π4.

Q: 4.80. Find each of the following integrals:: (a) zcos 2z dz, (b) ſze=² dz.

A: Topic = Integration

Q: If x squared divided by 25 plus y squared divided by 64 equals one and y(2) equals 7.33, find y…

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Q: 19. Find the distance from the point (3, -2,7) to the plane 4x – 6y + z = 5. Show all necessary work…

A: A detailed solution is given below.

Q: The function_h(x) = (x³ + 1)−³ Find the functions f(x) = may be viewed as a composite function h(x)…

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Q: Evaluate the indefinite integral. Stan ( tan³ (x) sec²(x) dx = +C.

A: We have to solve the given integration

Q: 9x During the course of an illness, a patient's temperature (in degrees Fahrenheit) x hours after…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their…

A: In order to find the time at which the cars are again side by side, obtain the total numbers of…

Q: Find sin t and cost for the given value t = -420°

A: Find sint and cost for the given value of t  t= -420 degree

Q: Find the intercepts of the graph of 3x2 - 4y = 48.

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Q: differential equations 2ycos(2x)dx+(sen(2x)-2sen(y))dy=0

A:

Q: The function f(x) number. Find it. X = = (6x + 7)e 3x has one critical

A: Find critical point

Q: = .. Find the tangent plane and normal line to the surface ƒ (x, y) : (1, 0, 1). xey at the point

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Q: 3 Sh y cos (x²) dxdy. Then evaluate the interated y² 10. Sketch the region of integration for…

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: Compute the Riemann sum $4,3 to estimate the double integral of f(x, y) = 8xy over R = [1,3] × [1,…

A: Given that , fx,y=8xy and R=1,3×1,2.5 Calculate the Riemann sum S4,3=?

Q: Find the area enclosed by the function f(x) = cos x + sen x , the x-axis and y-axis . (note:

A: Given function:- fx=sinx+cosx

Q: Let r(t) = ·( 20 ²21 ²2² ² ) =

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Q: -5 -4 -3 -2 -1 3 2 2 -1 -2 -3 1 2 3 4 a The function graphed above is: Increasing on the interval(s)…

A: Here we check check the increasing and decreasing property of graphed function.

Q: Evaluate the definite integral. (* (x + 1)² dx 1 X

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Q: You are the marketing director for a company that manufactures bodybuilding supplements and you are…

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Q: Consider the series Find s4 and 88 S4= S8 = n=1 4 n +8 Let sn be the n-th partial sum; that is, Sn =…

A: Series