cos2x – sin2x cos2x For +C: What is F(x)? dx = cosx - sinx O (cs. ecx)3 cScx – secx 1 (sinx – cosx) - 2 sinx - -cosx – cosx+=sin³x 3 2 sinx + -cos-x+cosx + -sin'x 3 3

Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: What is the integrable form of sin-cos-sin0 d0? 2 2 A du B cosu du 2 -: / sinu du D du

A: Let's find. 

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + x...

A:

Q: 2) The graph of a function y = f(x) is given. Draw a graph of it's derivative %3D

A:

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

A:

Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

A:

Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: The region is bounded by y=x2, y=9, x=0, x=3

Q: cos(2x)- sin(2x)cos(2x)) cos(x)- sin(x) dx = -F(x) + For C. What is F (x)? 3.

A:

Q: 29. Decide whether Rolle's Theorem can be applied to f(x) = x2 + 2x -1 on the interval [-3, 1]. If R...

A: We will use that 

Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? + 2...

A:

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: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the cur...

A: Explained below 

Q: Find the area bounded by the curve y²=4x, the lines x =1 and x=4. 21 (A sq. units 63 B) sq. units 56...

A:

Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

A:

Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: Question Find the equation of the tangent line to f- at the point P(-2, 1) for f(x) = x – 4x4 + 1. P...

A:

Q: The resulting integral of sin-cos- sin@ do has the form -F(0) +C• What should be the value of o to m...

A: Integration

Q: Sin/cos

A: Given query is to simplify the expression.

Q: sinx sinx +x The integral / COSx - e te e sinr equal to zero. Evaluate m +n+p+q+r. dx may be written...

A: We will solve the integral and find the sum. 

Q: Question 6 Find the area of the region bounded by the curve y=1-. and the x - аxis. A 8 sq. units B)...

A: Area of the region between the curve and the x - axis is 4 square units Hence option D is the correc...

Q: f (x, y, z) = x4 – 6xy? + 72% - (x, y, z) → (0, 0, 0)?

A:

Q: Question 1 sinx sinx +x The integral COsx - e +e dr may be written as mensinx prt gerxLC. where m, n...

A:

Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: e resulting integral of s sin sin(0) do has the form --F(0)+ mat should be the value of 0 to make F(...

A:

Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

A:

Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Question 16 4 dx Evaluate Зх — 12 A - 00 B 1 00 D

A: We have to find solution

Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

A: Solved below

Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

A:

Q: 10t2 Suppose the height of an object is given by h(t) = experiment begins. 8t + 3 meters, t seconds ...

A:

Q: on 9 e slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the c...

A: Please refer to the image below

Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

A:

Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two deci...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

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Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

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

A:

Q: The equation gives the position s = f(t) of a body moving on a coordinate line (s in %3D meters, t i...

A:

Q: Your are driving away from Detroit. Your distance​ (in miles) away from Detroit x hours after​ 12:00...

A:

Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

Q: The doubling period of a bacterial population is 15 minutes. At time t=110 minutes, the bacterial po...

A: The exponential growth of a bacterial population is given by, A=A0ert, A0 is the initial population ...

Q: e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

A: The given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exe2x-1dx

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: dA Evaluate the integral where Ris the region: {(x,y)|0 <x < 1,-3 <y< 3} R

A:

Q: If   C(t)=79.2te^−0.13t measures the​ concentration, in ngml​, of a drug in a​ person's system t h...

A: Find your answer below 

Q: A ball is dropped from a height of 64 feet. Its height above the ground (in feet) t seconds later is...

A: