Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area o...

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Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: cos(x + y), when x = 0,y =" dx

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

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

Q: What’s the derivative ? f(x) = xe^-x3

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Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b) ...

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Q: Find the equations of planes that just touch the sphere (x – 5)2 + (y – 3)² + (z – 5)² = 9 and are p...

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Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

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Q: Find the centroid of the region shown in the figure. 1 1

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Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

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Q: 4x 1. Зу': y? %3D

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Q: S 12x²Vx3 + 7dx

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

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-3,3) 5t...

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Q: sin x 16 y = e* + cos x solves y' = cOs x + y

A: we have to verify the solution.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: (4) Let S be the surface parametrized by I =r cos 0 y = r sin e 2 = 30 where and 0<r< 4 Evaluate the...

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Q: Sin/cos

A: Given query is to simplify the expression.

Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

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Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

Q: Question 1 Find the area bounded by the parabola x = y? and y = x-2. Answer in decimal form.

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Q: 14 pind tue indefinite intagral by meling fue Sbstitection x= 4sin d. 4 16- 9C

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Q: Let y(x) be the solution to the following initial value problem. x³ y' + 4x² y In(x). x > 0, y(1) = ...

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Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: Show that y1(t) = et and y2(t) = e−3t form a fundamental set of solutions for y'' +2y' −3y = 0, then...

A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: The height​ (feet) of an object launched in the air t seconds after launch is given by s=−16t2+48t+9...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Question Select your answer. Find the derivative of f(x) = 5/I with respect to r. 2x 5 Answer

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Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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Q: 3. Sketch the region bounded above by the curve y = x², below by the line y = -x – 2 and on the side...

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Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

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Q: sin? - cos' 2 2 zdx 2.

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.