Find the equation of the tangent line for f(x) is the percentage error compared to what it should be? x3 at x = = 27. Estimate f (29) with this equation. What

Q: nd dy/dx and d2y/dx². x = et, y = te-t dy dx dx² = = -2t) ∙e (t-1) -3t (2t-3) or which values of t…

A: Given query is to find the interval where function concave up.

Q: 2. Consider the curve defined by the equation y+sin y = x+. Find the equation of the tangent line to…

A: given y+siny=x+πequation of tangent line is y=mx+cwhere m is slope m=dydxd dx(sinx)=cosx

Q: 1 f (x) = (z²3) find domain ○ (-3, ∞0) O (-∞, -3) O (-∞0, 3), (3, 00) none of these answers

A: Given query is to find the domain of the function.

Q: bike company produces bikes. The company has a cost function of C(q) = 2(q + 10)² + In(q² + 16),…

A: Given query is to find marginal cost.

Q: 1 4. SITIVE" dx

A:

Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: Let  x≤y≤z be natural numbers. Prove the attached picture by (i) showing that both sides are…

A:

Q: I Given, dr b(cos@dr+rsinede); r(t) = 1, Find r(-). 1 1+b O 1+b 2 1 1+b O b 1+b (1-b)

A:

Q: Find the area of the region enclosed by the curves x = 1 - y² and x = y² – 1. Make sure you label…

A: To find the area of the region enclosed by the curves x=1-y2  and x=y2-1.

Q: Find the limit. lim (e-6ti + t-0 t² sin²(t) -j + sin(6t) k)

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: Let v = =(-4, 2, 3) Calculate: v xi= vx j = ( v x k = (

A:

Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

A:

Q: given x dy/dx=2y: y(1)=2; then y(3) = 20. TRUE oR FALSE?

A: It can be observed that the given differential equation is variable separable.

Q: 5. x + x√x 2 1 51 2 |4* - 5*| dx

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A:

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

A:

Q: 6. [- DETAILS Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a…

A:

Q: Let P = (1, 0, 0), Q = (1, 1, 1), R = (-1,-1,-1). Find (a) The area of the triangle PQR. area = (b)…

A: Let P=1, 0, 0, Q=1, 1, 1, R=-1, -1, -1. To find  (a) The area of the triangle PQR (b) The equation…

Q: Let f(x) = -x² + ax + b. Determine the constants a and b such that f has a relative maximum at x = 2…

A:

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. f(x) = cos x, a = π 4…

A: f(x)=cosx,  a=π4taylor polynomail is f(x)=f(a)+(x-a)1f'(a)+(x-a)2f''(a)2+(x-a)3f'''(x)6+.....

Q: List what transformations need to be done to transform into .   g(x) = 3- square root of 2-x

A: We need to list what transformation need to be done to transform into the given function from the…

Q: Hello, can you please help me implicitly derive (dy/dx) : x*e^y = x-y

A:

Q: Find the slope of the tangent line to the graph of the function y=f(x)=−7.5x^2at point x=3 Your…

A:

Q: (j) lim x →∞ sinh(x) ex

A:

Q: x+x√x 5. 13214² - 50 4-5 dx 6. Compute the volume of the solid obtained by rotating the region under…

A:

Q: Find the surface area of revolution about the y-axis of y = 8 - 2x² over the interval 0 ≤ x ≤ 2.

A:

Q: How do I find the intervals for these two questions based on the graph? Where is g(x)>0?  Where is…

A:

Q: The graph of y = x is given below: Y 10 b) (1.1) Find a formula for each of the transformations…

A: Graph of the absolute value function and its transformed functions are given, we have to find the…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(4r-s, s2 - 9r). Use the table of…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: Find the present value of the investment (Round your answer to the nearest cent.) funding $8,000…

A: Given: Withdrawl amount is $8000.            Rate of interest is r=5.25%.           The interest is…

Q: Find the surface area of revolution about the x-axis of y = 5x + over the interval 0 ≤ x ≤ 3.

A:

Q: Use the figure below to estimate the indicated derivatives. a derivative does not exist, enter dne…

A:

Q: Let  ?(?)=3?+5 ??? ?(?)=x2 a. Find  (f∘g)(x) b. Find  (g∘f)(x)

A: Given :   f(x)=3x+5 g(x)=x2

Q: 4. [ DETAILS eBook Find the sum of the convergent series. Σ n=1 LARCALC11M 9.2.038. 6 9n²+ 3n-2

A: only 4...∑n=1∞69n2+3n-2

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line  to the curve at the given…

Q: Put the equation y y = (x − h)² + k: Answer: y = = x² + 2x − 3 into the form -

A:

Q: Use implicit differentiation to find the slope of the line tangent to the curve 4x² + 2x + xy = 2 at…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: 1 So √² (1²+ √2) de is (1+√) A B C In 3 In 5 2 In 3 divergent

A:

Q: Find the tangent plane to the function below at the indicated point. f(x, y) = √ 17 - x² - 4y² at…

A:

Q: The length , width w, and height h of a box change with time. At a certain instant the dimensions…

A: Rate of change

Q: Use the Chain Rule to find az/əs and âz/ât. z = x²y⁹, x = 5 cos(t), y = s sin(t дz əs əz at ||…

A: By using the chain rule to find ∂z∂s and ∂z∂t. z=x7y9, x=s cost, y=s sint

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A: We have given function  fx=x2-4x-5x-5 fx=x2-5x+x-5x-5 fx=xx-5+1x-5x-5 fx=x-5x+1x-5 fx=x+1 Put x=5…

Q: Use the graph of the function f to find approximations of the given values. (a) f(-1) -4 1.1 (b)…

A:

Q: Find The Slope Of The Tangent Line (16 - X)Y^2 = X^3 At The Point (8, 8)

A:

Q: 3 Assuming -x³+4y²-5xy = 0 defines y as a differentiable function of x, use the theorem dx 11 dy to…

A:

Q: y = √√√x=2 find domain 0 x ≥2 0 x ≤2 0x > 2 none of these answers

A:

Q: iii. Limit Properties 1. Constant Property a. Two examples of constant function 2. Identify…

A: Give the example for limit properties.

Q: Find the limit: 0 T 5 lim t-0 7t - t 1 t² t¹ -1 5+t

A: