Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -3 and g'(6) = 2. (Enter your answer as an equation in terms of y and x.)

Q: Find the reference angle and the exact function value if they exist. cos150°

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Q: 5. What is the change in surface area with respect to time at t = 4s? Given that 12t^5 cm^3/s

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Q: Find the linearization at x = a. y = (14 + x)-¹/2, a = 3 (Use symbolic notation and fractions where…

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Q: The equation of motion of a particle is s = t³ - 3t, where s is in meters and t is in seconds.…

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Q: Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: 5) Calculate the Taylor polynomials T₂ (x) and T3 (x) centered at x = a of the function f(x) = sin x…

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Q: Given f(x) = 761x - X if 0 ≤ x ≤ b if b < x a) Determine a value of b so that the function given is…

A: Given:  fx=x2-7 if 0≤x≤b6x if b&lt;x To Find:  (a) To determine a value of b so that the given…

Q: Let f(x) = 8x³ - 15x²2 -2, x ≥ 1.5. Find the value of 3 df The value of df 1 at the point x = 623 =…

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Q: 4 Ssinª 3xdx

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Q: 6x4_84x +303 3. A bottlenose dolphin jumps out of the water. The path h = -0.2d² + 2d, where h…

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Q: WEEK 6 WRITTEN HOMEWORK SHOW ALL WORK TO RECEIVE CREDIT Adrian Lewis QUESTION 1 A coffee house finds…

A: A coffee house finds that its weekly profit P (measured in dollars) as a function of the price x…

Q: Find the Taylor polynomial T₂(x) and compute the error [ƒ(x) – T₂(x)] for the given values of a and…

A: To find the Taylor polynomial T2x and to compute the error fx-T2x  for the given values of a and x.…

Q: 2. Find values for b and c so that f(x) = 6x² + bx+c has its vertex at (7,-9).

A: As per rule I need to solve only first question.  So I solve only question number 2.

Q: Convert the cartesian coordinates to polar coordinates with 0 0. (a) (-1, -7√³)=( 7 (b) (0, 7) = (…

A: a) The given cartesian co-ordinate is: -72, -732 Here x=-72, and y=-732  To cartesian co-ordinate to…

Q: Graph the function. f(x)=√x+2 Plot four points on the graph of the function: the leftmost point and…

A: The given function is: fx=x+2 To draw the graph of the given function.

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. V = y…

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Q: If f(x) = fo 0 (g(x) /1 + 13 cos x - dt, where g(x) = fº [1 + sin(t²)] dt, find f'(π/2).

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Q: Given f(x, y) = x² – xy5 – 3y¹, find fxx (x, y) = fxy(x, y) =

A: The given function is: fx,y=x2-xy5-3y4 To find fxxx,y and fxyx,y

Q: Find the volume of the parallelepiped determined by the vectors a=, b=, c=   Please make easy to…

A: Here we have to find the volume.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5m (7x² - 6x) lim X→0 х

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Q: D Question 5 let g(x) = 1/(x³+x²)3 find g'(x) O(x³+x²)3 O (x³+x²)-3 O-3 (x³+x²)-4(3x²+2x)…

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Q: Find the Taylor polynomial T₂(x) for the function f(x) = 2e²x at x = 0. (Use symbolic notation and…

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Q: Given f(x, y, z) = √√4x − 6y + 5z, find - fz(x, y, z) = fy(x, y, z) fz(x, y, z) = =

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 5 sin (лx-y), (1,0)…

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Q: Find the equation of the least squares line. The paired data below consist of the costs of…

A: Given:  The paired data below consist of the costs of advertising (in thousands of dollars)  and the…

Q: a. f(x) = 15x²-3x-5 + c. f(x) = a. 1 x2 x³ + 2x² - 9x +5 X 4. Write the equation of the tangent line…

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Q: If f(x) = f* t³ dt then f'(x) = f'(-6)=

A: Given query is to find indicated derivative.

Q: Question 8 Find the solution to the Bernoulli Equation. 2x³y¹ = y(y² + 3x²) Oy²(c-x) = x³ y²(c+x)=x³…

A: We can find the solution of Bernoulli equation as given below.

Q: Find the area of the region enclosed between f(x) = x² − 3x + 3 and g(x) = 2x² – 3x – 1. Area =…

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Q: 4) Show that the circumference of the unit circle is equal to 1 2₁ √1-x² 1 Evaluate, thus verifying…

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Q: BOTH AXES FOR f(x) USE THE USUAL "1-2-3" SCALES y = f(x) Vertical intercept: Horizontal…

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Q: 25

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Q: 2 For the functions w= -9x+8y.x= cost, and y= sint, express dw as a function of t, both by using the…

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Q: Consider the following function. 1 (x 9)(x - 10) Determine all values of x at which the function is…

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Q: ·/₁ Evaluate cos x sin³ x dx. 2 cos(x) + cos¹ (x) ²/ X syntax error. + C

A: Given query is to find the integral.

Q: de (Inx) dx dx sinx

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Q: TOPIC 1 Higher Derivatives 1-x Q. #1 Given f(x)= please find derivatives below. Hint: Always…

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Q: xy² (x,y) →(0,0) x³ + y³ b) Show that lim does not exist.

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Q: A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

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Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

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Q: If E is the solid described below with density function p(x, y, z) = x² + y2, find the following…

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Q: he spring stret

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Q: The derivatives of the function f(x) = cos(3x²) that follow are incorrect. What misconception occurs…

A: Question number 6th  is not properly visible so we will be answering only 8th question.

Q: Consider the function f(x) = a. Find f1(x). b. Graph f and f x +9 2-7x together. df 1 c. Evaluate at…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, л] for y = 8 sin(x).…

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Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

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Q: substi by S (H cos 4x)² dx

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Q: -50x7 - 30x6 - 20 5x² Type your answer without negative exponents. Simplify completely. Find the…

A: Given the quotient function is -50x7-30x6-205x2

Q: Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: 3. Use (shortcut) rules of derivatives to find f'(x) a. f(x) = 15x²-3x5 + c. f(x) = x³ + 2x²-9x+5 X…

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