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Evaluate the expression.(g ∘ f)(-4) when f(x) = 7x + 5 and g(x) = 2×2 + 9x – 2.

Find the composite function for the given functions.g ∘ f for f(x) = x3 + 6 and g(x) =

Draw a Venn Diagram to determine if the following is valid or invalid.  “Everyone who listens to vinyl records is old.  Sky does not listen to vinyl records.  Therefore Sky is not old.” Make sure to label your circles, place one or two x’s on your Venn Diagram, and state whether the argument is valid or invalid.   On your own paper, show all your work to justify your answer.  Leave the box below blank.

A system containing an ideal gas at a constant pressure of 1.42 × 105 Pa gains 2320 J of heat.  During the process, the internal energy of the system increases by 2540 J.  What is the change in volume of the gas?

On a cold day, 24600 J of heat leaks out of a house. The inside temperature is 20 °C, and the outside temperature is -15 °C.What is the increase in the entropy of the universe that this heat loss produces?

Recurrent neural network. Indicate whether each of the following statements is True or False (1 pt each). (a) In an RNN, the same set of weights is applied repeatedly across time steps. [a] (b) LSTMs solve the vanishing gradient problem by leveraging attention mechanisms. [b] (c) A vanilla RNN can perfectly learn long-term dependencies in practice. [c] (d) An RNN can process sequences of different lengths without modification. [d]

A 39-year-old patient is being seen in the clinic for evaluation of osteoarthritis. The patient is 281 lbs and 5’9″. The patient has a past medical history of hypertension, sleep apnea, and hyperlipidemia. Vital signs:  Blood pressure 130/82 mmHg Heart rate: 88 bpm Respiratory rate: 18 breaths per minute Oxygen saturation: 94% on room air Medications include: Lisinopril 20mg every evening Atorvastatin 40 mg daily Ibuprofen 400 mg PRN pain Labs are drawn which include the following: Test Result Normal Range Total cholesterol 230 mg/dL < 200 mg/dL HDL 32 mg/dL > 50 mg/dL LDL 150 mg/dL < 100 mg/dL Triglycerides 180 mg/dL < 150 mg/dL Fasting blood glucose 145 mg/dL 80 - 100 mg/dL HgA1c 8.5% < 5.7 % ALT 45 U/L 4  -36 U/L Based on the history and recent labs, the nurse anticipates that [medication1] be added due to [rationale] and that [medication2] be adjusted due to [rationale2].

¿Cómo se dice? Write a grammatically correct Spanish sentence using stressed adjectives: “The sunglasses are mine.”            á           é            í            ó            ú            ñ

Convolutional neural network. Consider the following partially completed program which defines a convolutional neural network. Unless specified, assume zero padding and stride . (a) (3 pts) Suppose we feed this model with an input image tensor of shape 32 x 32 x 3, i.e., an RGB image with height and width of 32 pixels. After the first Conv2d layer (line 7), what is the shape of the output feature map? Height = [a1], Width = [a2], # Channels = [a3]. (b) (2 pts) How many trainable parameters does this Conv2d layer (line 7) have? You may disregard the bias terms. [b] (c) (1 pt) How many trainable parameters does the first max-pooling layer (line 9) have? [c] (d) (1 pt) How many filters/kernels are used in the second Conv2D layer (line 11)? [d] (e) (3 pts) In line 15, nn.Flatten() reshapes the output of the second convolutional block into a vector for each image. The network then passes the vector to fully-connected layers. The code for the first fully-connected layer is missing (line 18). Complete the definition based on the rest of the code. [e] (f) (1 pt) This network is originally design for a classification task with 10 classes. Assume the task later changes to 20 classes. Which line must be changed to reflect this? Line [f]

Writing Finish the following sentence starter by combining the phrases from each column to form a grammatically correct sentence in Spanish. Cuando yo era joven…               á               é                 í                ó                ú mis padres dudaban que yo poder programmar