3t Find the linearization L(x) of f(x) = cotx at x = 4 The linearization is given by L(x) = Type an exact answer, using as needed.) Question

Q: Q4.5 If f(x)= e2x O e²x - √xe² e4x 1 4e²√√x 4√xе²x then f'(x) = x 1/2e2x -x 2e4x O 1 - 4x 2e2x √√√x…

A: Need to find out the derivative of the given function.

Q: Let f(x)= |x and g(x) = x² – 2. Find the area of the region enclosed by f(x) and g(x). Answer:

A:

Q: If   C(t)=49.7te−0.24t measures the​ concentration, in ngml​, of a drug in a​ person's system t…

A:

Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

A:

Q: Docking a Boat A boat is pulled toward a dock by means of a rope wound on a drum that is located 5…

A: let distance between boat and dock is x ftlet rope length is y ft

Q: Find fif f'(x) = 8x³ + 16x + 6 and ƒ(1) = −3. Answer: f(x) =

A: f'(x)=8x3+16x+6f(1)=-3∫xndx=xn+1n+1+c

Q: 4. Using a series representation of sin(7x), find values of a and b such that sin (7x) + +2/2+] = 0…

A:

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that: Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

Q: Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

A:

Q: If   C(t)=55te−0.1t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A:

Q: Use the method of Laplace transforms to solve the given system of initial value problem. y(0) = 1…

A: The answer is in step 2.

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

A:

Q: Given that the acceleration vector is a(t) = (- cos(t))i + (-sin(t))j + (t)k, the initial velocity…

A:

Q: Find the area of the curve: y = 9-x² and the x-axis

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: A wire of length 130 inches will be used to make the frame (edges) of a box with a square bottom. W…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

Q: A projectile is fired from ground level with an initial speed of 100 m/sec and an angle of elevation…

A: For detail go through the solution...I have solved in detail..step by step

Q: 1. Solve the ODE by integration. a. y' + 2 sin 27x = 0 c. y' = -1.5y C. b. y' = y

A: To solve the following ODE by integration. (a) y'+2 sin2πx=0 (b) y'=y (c) y'=-1.5y

Q: people who have a rumor tt hours after it has started. N(t)=600/1+599e^−0.3t (d) When will half the…

A:

Q: The modern art exhibit at a museum is designed in a triangular fashion, surrounded on all three…

A:

Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 4 inches and the…

A:

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: we need to find out the half life time for the given decay equation.

Q: Find a formula for the linear function depicted in the following graph. -10 -5 5 er -10 Enable…

A:

Q: In Exercises 24-34 sketch the parametric curve by eliminating the parameter. 24. x = 2t - 1, y =…

A:

Q: Last time now, with d = 3.42 m. You start the block on the track at rest, somewhere to the left of x…

A:

Q: Find the time needed in years to make $ 50,000 from $ 30,000 if the simple interest rate available…

A:

Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

A:

Q: 3. Find AxB 4. Find BxA 5. Find CXA 6. Find AxC 7. Find the determinant of B.

A:

Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

Q: If   C(t)=79.8te−0.13t measures the​ concentration, in ngml​, of a drug in a​ person's system t…

A:

Q: Two particles start at the origin on the s-axis at time t = 0 s and move along the s- axis. Their…

A:

Q: Determine the flux of the vector field F(x, y, z) = 3xz²i + (4y + 3yz²)j − 2z³k - through surface P…

A: We have to determine the flux of the vector field…

Q: Sketch the region that corresponds to the given inequalities. 3x - 2y = 0 x-8y ≤ 0 x = 0, y = 0 O y…

A: The given inequalities are: 3x-2y≥0x-8y≤0x≥0y≥0

Q: [cos* xdx

A:

Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: 8 1. Σ n=1 (80) 92n

A:

Q: Evaluate the following integral in two ways. sin(x)In(cos(x))dx a.) Evaluate using substitution. b.)…

A:

Q: Let f(x) = 9x²+2x+7 Determine the equation of the tangent line to f at x = 2. Report the solution…

A: f(x)=9x2+2x+7eqaution of tangent line in standard form is y=mx+cwhere m=slope=f'(x)

Q: Let F(1) = ƒ(ƒ(1)) and G(1) = (F(1))². You also know that ƒ(9) = 7, ƒ(7) = 3, f'(7) = 9, f'(9) = 9…

A:

Q: Use differentials to estimate the following. Give all answers correct to at least 3 decimal places.…

A: We have to find asked area.

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

A:

Q: Q4.3 If f(x) = O 10 16 22 ооо 16 O 5 8 11 O 4x + 1 x² - 5' then f'(-1) = 8 O None of the above.

A:

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: The Answer is in step2.

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

A: The given function: rx=x-5 on -12,8.

Q: The position function of a particle is given below. s(t) = t³ + 1.5t²- 58t, tz 0 When does the…

A: Derivative

Q: 3. Find all points (x, y) for which the tangent plane to the graph of z=x² - 6x+2y² −10y+2xy is…

A:

Q: Hi can you please be more descriptive with your answer?  Half of the answer that you provided is cut…

A: Given integral:- ∫02π∫04∫0z4r4drdzdθ

Q: A particle moving in a straight line with a velocity (in m/sec) given by v (t) = t²2t-3. Determine…

A: Given velocity function v( t ) = t2 - 2t - 3

Q: We want to construct a container in the shape of a cylinder. The container will have a bottom but no…

A:

Q: increasing two hours later? mi/h

A: