Graph the following. 0 0 peacewise function. +£3. 3≤ t < 5 + 25

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

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Q: y²dx + (3xy + y² - 1)dy = 0 ex + ln y + ²) + 2) dx + dx + ( + lnx + siny) dy = 0

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Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

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Q: Let consider [^e² dr. a) Apply the composite midpoint rule with m = 4. Compute error by comparing…

A: Given, ∫01exdx

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

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Q: Sketch the situation if necessary and use related rates to solve. A 6 ft tall person walks away from…

A: We have to find part 1, 2 and 3.

Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan B = B 11 Figure 1 A…

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Q: 6) Find Fourier transform of: 8 1) e-n(v²+y) (x − y)e-lx-v\dy 88 f 2) nye dy -πy²

A: According to our guidelines,i can solve only one please reroute the remaining question.

Q: 4. Evaluate the expression without using a calculator. (a) log₂ (2) = (b) log, (√9) = (c) log10…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the time it takes for $5,600 to double when invested at an annual interest rate of 8.6%,…

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Q: 3. Sketch the graph of a function f with the following properties: x f is not continuous when x = 4…

A: We have to sketch the graph of a function that has the properties, f is not continuous when x=4 but…

Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

A: Concept: The line x=L is a vertical asymptote of the function y=14x-42x2+x-12, if the limit of the…

Q: Consider the surface F(x,y,z)=x^9z^8+sin(y^4z^8)-4=0 Find the following partial derivatives dz/dx…

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Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: To find the solution of given inequality.

Q: Question Use the trapezoidal rule to calculate the absolute error of ¹(5x³ + 5x) dx using 3…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If h (2) = 5 and h'(2) = -4, find d /h(x) dx h(x)) x = 2

A: we use quotient rule here

Q: the-hx е Lox.

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Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

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Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

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Q: 2. Solve by the substitution method. If there is no solution or infinitely many solutions make sure…

A: Given the system of linear equations x - y = -3 2x + 9y = -17 By using substitution method we need…

Q: #3) Find the derivative of the function. y = 2-5x

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y² =…

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Q: The surface of a mountain is modeled by the equation h(x,y)=5000-0.006x2-0.008y2. A mountain climber…

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Q: Evaluate the integral. [²3 0 x In (3x) 4 dx

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Q: 1 Let g be the function defined by g(x) = -x² + 8x. Find g(a + h), g(-a), g(√ā), a + g(a), and g(a)…

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Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: . Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

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Q: 1. a) Using the Rectangular Approximation Method with 4 rectangles, estimate the integral In x dx to…

A: We need to estimate values.

Q: point The graph of the function f(x) = 3-5 can be obtained from the graph of g(x) = 3 by one of the…

A: Domain:- The set of all those input variable such that the function at those values exists.Range:-…

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: Part_a_ r1=5t, 2t-1, 2t-2 and r2=t-7, -t+6, t-9   First rewrite both the equation in different…

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for (a) lim X (b) lim X + +³7 - 32x…

A: Use limit concept

Q: Fill in the blank. The symbol C, represents a constant. Write this result as a linear first-order…

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Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

Q: On one production line in a small custom chip factory, marginal costs decrease rapidly as more chips…

A: Given Marginal cost function:- C'x=201+0.04x

Q: Question Estimate (4x² + 3) dx using the midpoint rule and 4 subintervals. Enter an exact value.…

A: To evaluate: ∫024x2+3dx Let fx=4x2+3 Now, interval is from 0 to 2 We have 4 subinterval, therefore…

Q: Graph f(x) = X (G) O A. and g(x) = log 1/8x in the same rectangular coordinate system. Choose the…

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Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: f(x)=ln|sec

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Q: Let g and h be functions defined by g(x) = 2× · f(x) and h(x)=3x² + 4x-In√x. Part A: Find g'(8).…

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Q: Find the equation of the sphere if one of its has endpoints (6-7, 8) and (8, -3, 19). diameters 1=0

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Q: Find and simplify dy da 3x²-4 522+7 y = ( 3 5

A: On solving this we will get

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: at which the tangent plane is horizo

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