Find an equation of the tangent line to the curve at the point (, y()). Tangent line: = y = sin(72) + cos(6x)

Q: -6 X = -4 increasing decreasing -2 -4 relative minimum -6 (i) Identify the critical numbers of f.…

A: We have given a graph of f'(x).We have to find the critical points, monotone intervals and relative…

Q: 0.5 (kg) and forcing function f(t). x"=-3x-2x + e Find the constants, c and k. C = k = -1.4t Find…

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Q: Show that the following implicit solutions satisfy the ODE. ODE: (2x² + 2xy + y²)dx + (x² + 2xy)dy =…

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Q: Find an equation of the plane passing through the points (1, -2,3), (4,5,-6), and (7,8, -3).

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Q: Q.4// Solve the following system of linear equations using matrices: x+y 2z = 3 3x-y+z=0 3x + 3y +…

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Q: A new bus worth $115,000 in 2015 depreciates linearly to $40000 in 2030. (a) Find a formula for the…

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Q: Compute the first four partial sums S₁, ..., S4 for the series having nth term an, starting with n =…

A: Compute the first four partial sum S1, S2,... S4.  For the series having nth term a,nth term an…

Q: 2. Solve each equation (round answers to four decimal places if needed A. log(x+4) + log(x+3) = 1 B.…

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Q: Solve the absolute value inequality. 6x-3| B. 6x-3-15 c. <6x-3<

A: We have to solve the absolute value inequality…

Q: 3. (y) = = y, y 1 2, (2y1,

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 0 00 Co o o o sin (²) = √³ انه ده

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Q: Step 2: Solve for Ay: Ay = f(x+ Ax)-y Ay = f(x + Ax)-f(x)

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Q: Find a cartesian equation for the curve Equation - ㅠ 3 Use your answer above to identify the graph…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find a plane containing the point (1, −1, 3) and the line of intersection of the planes -3x + 3y -…

A: Explaination of the answer is as follows

Q: Find the angle between the vectors. u= √√√3i -5j, v=√√3i+j-3k The angle between the vectors is 0 =…

A: The given vectors are Let the angle between vectors is

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Given: To Find: (a) To find the critical numbers of .(b) To find the open intervals on which the…

Q: The following graph shows the function f(x) = = 6- 5 4- 3- 2- 1 0- 0 1 N. 2 3 4 5 23 + 5 √, and the…

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Q: 1. Points P(1, 1) and Q(x, y) are on the graph of the function f(x) = x³ Complete the following…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Find the tangential and normal components of the acceleration vector. r(t) = (3t – t³) i + 3t² j O…

A: Take derivative.Find the magnitude.

Q: Find the standard parametrization for the line segment joining the points below. Draw coordinate…

A: Solution is following in explanation step.

Q: 2 x-3 Find the slope of the secant line on the graph of f(x) for each interval: Let f(x) =

A: given function

Q: IQ5] Solve the following of A- Change from cartesian (i) (ii) (1,√3,-2√3) to Cylindrical and…

A: Cartesian coordinates (1,√3, -2√3)x= 1y= √3z=-2√3

Q: Find the volume of the solid generated when the region bounded by the graphs o y = x, y = 0 and x =…

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Q: Again referring to the vectors a = (5,3,7) and b = (2,-3,4), a. What is the angle between them? b.…

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph…

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Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

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Q: Consider the following parametric equations. a) Find 4 unique points on the parametric curve. Enter…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Say whether the function graph below is continuous on [-3,4]. If not, where does it fail to be…

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Q: A transport company purchased a truck for ​$79,000.The company depreciated the truck at the end of…

A: To find the value of the truck at the end of the sixth year after it was purchased for $79000 and…

Q: For each surface F(u, v), identify the best description of the surface's shape. r(u, v) Shape +…

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Q: Given s(t)=5t+20, where s(t) is in miles and t is in hours, find each of the following. a) v(t) b)…

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Q: Visit this desmos link and interact with the graph in order to determine a so that if |x − a| < 8,…

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Q: Inverse of a Square Matrix Check whether or not matrix B is the inverse of matrix A, if -4 2 0.5 -17…

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Q: (3) Let R(x) = 31-4 (c) Evaluate the function when x = : -6, -5, -4.5, -3, -0.5, 1.5, 4, 6;

A: Given Function R( x )

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

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Q: Using the definition of derivative of a function at a point, f′(a)=lim x→a f(x)−f(a)/x−a, find the…

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Q: Step 3: Divide both sides by AX. Ay f(x+Ax)-f(x) = AX AX

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Q: 6. Part a. Evaluate the limit using the appropriate Limit Law(s). (If it does not exist, enter…

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Q: Sketch graphs by hand of the equation y = x³ in the a. xy-plane (2D context, universal set = R²) b.…

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Q: Question Find the equation of the line tangent to the graph of f(x) = -x² - x +4 at x = -1. Provide…

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Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

A: Limits

Q: A particle moves along a straight line with an acceleration of a=5/(3s^1/3+s^5/2)m/s2, where s is in…

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Q: Suppose that the piecewise function f is defined by f(x) = 2x - 2, 1-2x² - x ≤ 4 - 2x + 6, x > 4*

A: f(x)={2x−2,x≤4−2x2−2x+6,x&gt;4

Q: Let f(x) = 4 sec z. Then f"(π/4)= 0

A: According to the Bartleby guide we only do first part of multiple questions.Given,  f(x)=4we know,

Q: 1. Evaluate the integrals by using the integration by parts. (b) f(lnx)³ dx (a) [x² cos x dx (c) S x…

A: Here we need to use Integration by parts for those integration solutions.

Q: Differentiate y = In(x³ + 2). Solution To use the Chain Rule, we let u = x³ + 2. Then y = In(u), so…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: given curve We know that area of surface obtained by rotating y=f(x) from x=a to x=b  about x-axis…

Q: Round off the approximate number as indicated. 91053 significant digits

A: We need to Round off the approximate number as indicated. 91053 significant digits